Ivo Babuska - Publications

Affiliations: 
University of Texas at Austin, Austin, Texas, U.S.A. 
Area:
Mathematics, Applied Mechanics

196 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Babuška I, Lipton R, Sinz P, Stuebner M. Multiscale-Spectral GFEM and optimal oversampling Computer Methods in Applied Mechanics and Engineering. 364: 112960. DOI: 10.1016/J.Cma.2020.112960  0.419
2020 Zhang Q, Banerjee U, Babuška I. Strongly Stable Generalized Finite Element Method (SSGFEM) for a non-smooth interface problem II: A simplified algorithm Computer Methods in Applied Mechanics and Engineering. 363: 112926. DOI: 10.1016/J.Cma.2020.112926  0.474
2020 Zhang Q, Babuška I. A stable generalized finite element method (SGFEM) of degree two for interface problems Computer Methods in Applied Mechanics and Engineering. 363: 112889. DOI: 10.1016/J.Cma.2020.112889  0.434
2019 Babuška I, Hakula H. Pointwise error estimate of the Legendre expansion: The known and unknown features Computer Methods in Applied Mechanics and Engineering. 345: 748-773. DOI: 10.1016/J.Cma.2018.11.017  0.387
2019 Babuška I, Sawlan ZA, Scavino M, Szabó B, Tempone R. Spatial Poisson processes for fatigue crack initiation Computer Methods in Applied Mechanics and Engineering. 345: 454-475. DOI: 10.1016/J.Cma.2018.11.007  0.339
2019 Zhang Q, Banerjee U, Babuška I. Strongly Stable Generalized Finite Element Method (SSGFEM) for a non-smooth interface problem Computer Methods in Applied Mechanics and Engineering. 344: 538-568. DOI: 10.1016/J.Cma.2018.10.018  0.462
2018 Babuška I, Söderlind G. On Roundoff Error Growth in Elliptic Problems Acm Transactions On Mathematical Software. 44: 33. DOI: 10.1145/3134444  0.426
2017 Babuška I, Banerjee U, Kergrene K. Strongly stable generalized finite element method: Application to interface problems Computer Methods in Applied Mechanics and Engineering. 327: 58-92. DOI: 10.1016/J.Cma.2017.08.008  0.518
2017 Babuška I, Soane AM, Suri M. The computational modeling of problems on domains with small holes Computer Methods in Applied Mechanics and Engineering. 322: 563-589. DOI: 10.1016/J.Cma.2017.05.014  0.516
2016 Zhang Q, Babuška I, Banerjee U. Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities Computer Methods in Applied Mechanics and Engineering. 311: 476-502. DOI: 10.1016/J.Cma.2016.08.019  0.399
2016 Babuška I, Motamed M. A fuzzy-stochastic multiscale model for fiber composites: A one-dimensional study Computer Methods in Applied Mechanics and Engineering. 302: 109-130. DOI: 10.1016/J.Cma.2015.12.016  0.306
2014 Babuška I, Motamed M, Tempone R. A stochastic multiscale method for the elastodynamic wave equation arising from fiber composites Computer Methods in Applied Mechanics and Engineering. 276: 190-211. DOI: 10.1016/J.Cma.2014.02.018  0.302
2014 Babuška I, Silva RS. Dealing with uncertainties in engineering problems using only available data Computer Methods in Applied Mechanics and Engineering. 270: 57-75. DOI: 10.1016/J.Cma.2013.11.018  0.316
2014 Zhang Q, Banerjee U, Babuška I. Higher order stable generalized finite element method Numerische Mathematik. 128: 1-29. DOI: 10.1007/S00211-014-0609-1  0.499
2013 Guo B, BabušKa I. Full length article: Direct and inverse approximation theorems for the p-version of the finite element method in the framework of weighted Besov spaces, part III: Inverse approximation theorems Journal of Approximation Theory. 173: 122-157. DOI: 10.1016/J.Jat.2013.05.001  0.444
2012 Strouboulis T, Wang D, Babuška I. Superconvergence of elliptic reconstructions of finite element solutions of parabolic problems in domains with piecewise smooth boundaries Computer Methods in Applied Mechanics and Engineering. 241: 128-141. DOI: 10.1016/J.Cma.2012.05.023  0.528
2012 Babuška I, Banerjee U. Stable Generalized Finite Element Method (SGFEM) Computer Methods in Applied Mechanics and Engineering. 201: 91-111. DOI: 10.1016/J.Cma.2011.09.012  0.528
2012 PitkäRanta J, BabušKa I, Szabó B. The dome and the ring: Verification of an old mathematical model for the design of a stiffened shell roof Computers & Mathematics With Applications. 64: 48-72. DOI: 10.1016/J.Camwa.2012.03.008  0.418
2012 Niemi AH, Babuška I, Pitkäranta J, Demkowicz L. Finite element analysis of the Girkmann problem using the modern hp-version and the classical h-version Engineering With Computers. 28: 123-134. DOI: 10.1007/S00366-011-0223-0  0.521
2011 Babuska I, Lipton R. Optimal local approximation spaces for generalized finite element methods with application to multiscale problems Multiscale Modeling and Simulation. 9: 373-406. DOI: 10.1137/100791051  0.475
2011 Babuška I, Banerjee U, Li H. The effect of numerical integration on the finite element approximation of linear functionals Numerische Mathematik. 117: 65-88. DOI: 10.1007/S00211-010-0335-2  0.499
2010 Babuška I, Nobile F, Tempone R. A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data Siam Review. 52: 317-355. DOI: 10.1137/100786356  0.413
2010 Guo B, Babuška I. Local Jacobi Operators and Applications to the $p$-Version of Finite Element Method in Two Dimensions Siam Journal On Numerical Analysis. 48: 147-163. DOI: 10.1137/090747208  0.487
2010 Babuška I, Gatica GN. A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem Siam Journal On Numerical Analysis. 48: 498-523. DOI: 10.1137/080727646  0.506
2010 Szabó BA, Babuška I, Pitkäranta J, Nervi S. The problem of verification with reference to the Girkmann problem Engineering With Computers. 26: 171-183. DOI: 10.1007/S00366-009-0155-0  0.395
2009 Babuska I, Liu K. Interval arithmetic error estimation for the solution of Fredholm integral equation International Journal of Computer Mathematics. 86: 549-566. DOI: 10.1080/00207160802624729  0.438
2009 Babuška I, Banerjee U, Osborn JE, Zhang Q. Effect of numerical integration on meshless methods Computer Methods in Applied Mechanics and Engineering. 198: 2886-2897. DOI: 10.1016/J.Cma.2009.04.008  0.458
2009 Evans JA, Bazilevs Y, Babuška I, Hughes TJR. n-Widths, sup-infs, and optimality ratios for the k-version of the isogeometric finite element method Computer Methods in Applied Mechanics and Engineering. 198: 1726-1741. DOI: 10.1016/J.Cma.2009.01.021  0.414
2008 Babuška I, Sauter SA. Efficient Solution of Anisotropic Lattice Equations by the Recovery Method Siam Journal On Scientific Computing. 30: 2386-2404. DOI: 10.1137/070690717  0.432
2008 Shu S, Babuška I, Xiao Y, Xu J, Zikatanov L. Multilevel Preconditioning Methods for Discrete Models of Lattice Block Materials Siam Journal On Scientific Computing. 31: 687-707. DOI: 10.1137/070684203  0.385
2008 Babuska I, Nobile F, Tempone R. Formulation of the static frame problem Computer Methods in Applied Mechanics and Engineering. 197: 2496-2499. DOI: 10.1016/J.Cma.2007.12.010  0.37
2008 Babuška I, Tempone R. Static frame challenge problem : Summary Computer Methods in Applied Mechanics and Engineering. 197: 2572-2577. DOI: 10.1016/J.Cma.2007.09.030  0.355
2008 Babuska I, Nobile F, Tempone R. A systematic approach to model validation based on Bayesian updates and prediction related rejection criteria Computer Methods in Applied Mechanics and Engineering. 197: 2517-2539. DOI: 10.1016/J.Cma.2007.08.031  0.318
2008 Strouboulis T, Hidajat R, Babuška I. The generalized finite element method for Helmholtz equation. Part II: Effect of choice of handbook functions, error due to absorbing boundary conditions and its assessment Computer Methods in Applied Mechanics and Engineering. 197: 364-380. DOI: 10.1016/J.Cma.2007.05.019  0.471
2008 Babuška I, Nistor V, Tarfulea N. Generalized finite element method for second-order elliptic operators with Dirichlet boundary conditions Journal of Computational and Applied Mathematics. 218: 175-183. DOI: 10.1016/J.Cam.2007.04.041  0.43
2008 Babuška I, Nistor V. Boundary value problems in spaces of distributions on smooth and polygonal domains Journal of Computational and Applied Mathematics. 218: 137-148. DOI: 10.1016/J.Cam.2007.04.038  0.36
2007 Martinsson PG, Babuška I. Homogenization of materials with periodic truss or frame micro-structures Mathematical Models and Methods in Applied Sciences. 17: 805-832. DOI: 10.1142/S021820250700211X  0.319
2007 Narasimhan R, Babuška I. Interior maximum norm estimates for finite element discretizations of the Stokes equations Applicable Analysis. 86: 251-260. DOI: 10.1080/00036810601148240  0.518
2007 Babuška I, Banerjee U, Osborn JE. Superconvergence in the generalized finite element method Numerische Mathematik. 107: 353-395. DOI: 10.1007/S00211-007-0096-8  0.515
2007 Babuska I, Nobile F, Tempone R. Reliability of computational science Numerical Methods For Partial Differential Equations. 23: 753-784. DOI: 10.1002/Num.20263  0.344
2006 Strouboulis T, Babuška I, Hidajat R. The generalized finite element method for Helmholtz equation: Theory, computation, and open problems Computer Methods in Applied Mechanics and Engineering. 195: 4711-4731. DOI: 10.1016/J.Cma.2005.09.019  0.536
2006 Babuška I, Szabó B. On the generalized plane strain problem in thermoelasticity Computer Methods in Applied Mechanics and Engineering. 195: 5390-5402. DOI: 10.1016/J.Cma.2005.06.031  0.375
2006 Strouboulis T, Zhang L, Wang D, Babuška I. A posteriori error estimation for generalized finite element methods Computer Methods in Applied Mechanics and Engineering. 195: 852-879. DOI: 10.1016/J.Cma.2005.03.004  0.475
2005 Babuska I, Andersson B. The Splitting Method as a Tool for Multiple Damage Analysis Siam Journal On Scientific Computing. 26: 1114-1145. DOI: 10.1137/S1064827502417167  0.505
2005 Babuška I, Tempone R, Zouraris GE. Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation Computer Methods in Applied Mechanics and Engineering. 194: 1251-1294. DOI: 10.1016/J.Cma.2004.02.026  0.516
2005 Oden JT, Babuška I, Nobile F, Feng Y, Tempone R. Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty Computer Methods in Applied Mechanics and Engineering. 194: 195-204. DOI: 10.1016/J.Cma.2003.06.003  0.366
2005 Babuška I, Nobile F, Tempone R. Worst case scenario analysis for elliptic problems with uncertainty Numerische Mathematik. 101: 185-219. DOI: 10.1007/S00211-005-0601-X  0.378
2004 Babuška I, Banerjee U, Osborn JE. Generalized Finite Element Methods — Main Ideas, Results And Perspective International Journal of Computational Methods. 1: 67-103. DOI: 10.1142/S0219876204000083  0.474
2004 Babuska I, Tempone R, Zouraris GE. Galerkin Finite Element Approximations Of Stochastic Elliptic Partial Differential Equations Siam Journal On Numerical Analysis. 42: 800-825. DOI: 10.1137/S0036142902418680  0.564
2004 Hlaváček I, Chleboun J, Babuška I. Chapter VII – Contact Problems in Elasticity and Thermoelasticity North-Holland Series in Applied Mathematics and Mechanics. 46: 207-240. DOI: 10.1016/S0167-5931(04)80011-1  0.332
2004 Hlaváček I, Chleboun J, Babuška I. Chapter III - Quasilinear Elliptic Boundary Value Problems North-Holland Series in Applied Mathematics and Mechanics. 46: 61-101. DOI: 10.1016/S0167-5931(04)80007-X  0.36
2004 Babuška I, Sauter SA. Efficient solution of lattice equations by the recovery method Part I: Scalar elliptic problems Computing and Visualization in Science. 7: 113-119. DOI: 10.1007/S00791-004-0146-Z  0.482
2004 Babuška I, Banerjee U, Osborn JE. On the approximability and the selection of particle shape functions Numerische Mathematik. 96: 601-640. DOI: 10.1007/S00211-003-0489-2  0.387
2004 Strouboulis T, Zhang L, Babuška I. p-version of the generalized FEM using mesh-based handbooks with applications to multiscale problems International Journal For Numerical Methods in Engineering. 60: 1639-1672. DOI: 10.1002/Nme.1017  0.504
2003 Babuška I, Liu K, Tempone R. Solving Stochastic Partial Differential Equations Based On The Experimental Data Mathematical Models and Methods in Applied Sciences. 13: 415-444. DOI: 10.1142/S021820250300257X  0.425
2003 Demkowicz L, Babuška I. p interpolation error estimates for edge finite elements of variable order in two dimensions Siam Journal On Numerical Analysis. 41: 1195-1208. DOI: 10.1137/S0036142901387932  0.479
2003 Strouboulis T, Babuška I, Datta DK. Guaranteed a posteriori error estimation for fully discrete solutions of parabolic problems International Journal For Numerical Methods in Engineering. 56: 1243-1259. DOI: 10.1002/Nme.606  0.444
2002 Babuska I, Chleboun J. Effects of uncertainties in the domain on the solution of Neumann boundary value problems in two spatial dimensions Mathematics of Computation. 71: 1339-1370. DOI: 10.1090/S0025-5718-01-01359-X  0.38
2002 Duarte CA, Babuška I. Mesh-independent p-orthotropic enrichment using the generalized finite element method International Journal For Numerical Methods in Engineering. 55: 1477-1492. DOI: 10.1002/Nme.557  0.505
2001 Babuska I, Guo B. Direct and Inverse Approximation Theorems for the p -Version of the Finite Element Method in the Framework of Weighted Besov Spaces. Part I: Approximability of Functions in the Weighted Besov Spaces Siam Journal On Numerical Analysis. 39: 1512-1538. DOI: 10.1137/S0036142901356551  0.389
2001 Zhang L, Strouboulis T, Babuška I. η%-superconvergence of finite element solutions and error estimators Advances in Computational Mathematics. 15: 393-404. DOI: 10.1023/A:1014267804986  0.493
2001 Zhang L, Strouboulis T, Babuška I. A posteriori estimators for the FEM: Analysis of the robustness of the estimators for the Poisson equation Advances in Computational Mathematics. 15: 375-392. DOI: 10.1023/A:1014232321825  0.469
2001 Strouboulis T, Copps K, Babuška I. Computational mechanics advances. The generalized finite element method Computer Methods in Applied Mechanics and Engineering. 190: 4081-4193. DOI: 10.1016/S0045-7825(01)00188-8  0.51
2001 Babuška I, Ohnimus S. A posteriori error estimation for the semidiscrete finite element method of parabolic differential equations Computer Methods in Applied Mechanics and Engineering. 190: 4691-4712. DOI: 10.1016/S0045-7825(00)00340-6  0.468
2001 Babuška I, Feistauer M, źOlín P. On one approach to a posteriori error estimates for evolution problems solved by the method of lines Numerische Mathematik. 89: 225-256. DOI: 10.1007/Pl00005467  0.445
2000 Babuška I, Osborn JE. Can a finite element method perform arbitrarily badly Mathematics of Computation. 69: 443-462. DOI: 10.1090/S0025-5718-99-01085-6  0.517
2000 Duarte CA, Babuška I, Oden JT. Generalized finite element methods for three-dimensional structural mechanics problems Computers and Structures. 77: 215-232. DOI: 10.1016/S0045-7949(99)00211-4  0.52
2000 Matache A-A, Babuška I, Schwab C. Generalized p-FEM in homogenization Numerische Mathematik. 86: 319-375. DOI: 10.1007/Pl00005409  0.528
1999 Ainsworth M, Babuska I. Reliable and Robust A Posteriori Error Estimation for Singularly Perturbed Reaction-Diffusion Problems Siam Journal On Numerical Analysis. 36: 331-353. DOI: 10.1137/S003614299732187X  0.427
1999 Strouboulis T, Babuška I, Gangaraj SK, Copps K, Datta DK. A posteriori estimation of the error in the error estimate Computer Methods in Applied Mechanics and Engineering. 176: 387-418. DOI: 10.1016/S0922-5382(98)80010-X  0.362
1998 Babuška I, Hugger J, Strouboulis T, Copps K, Gangaraj SK. The asymptotically optimal meshsize function for bi-p degree interpolation over rectangular elements Journal of Computational and Applied Mathematics. 90: 185-221. DOI: 10.1016/S0377-0427(98)00018-1  0.486
1998 Stone TJ, Babuška I. A numerical method with a posteriori error estimation for determining the path taken by a propagating crack Computer Methods in Applied Mechanics and Engineering. 160: 245-271. DOI: 10.1016/S0045-7825(97)00303-4  0.33
1998 Babuška I, Zhang Z. The partition of unity method for the elastically supported beam Computer Methods in Applied Mechanics and Engineering. 152: 1-18. DOI: 10.1016/S0045-7825(97)00231-4  0.352
1997 Ihlenburg F, Babuska I. Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h - p Version of the FEM Siam Journal On Numerical Analysis. 34: 315-358. DOI: 10.1137/S0036142994272337  0.542
1997 Li Y, Babuska I. A Convergence Analysis of an H-Version Finite-Element Method with High-Order Elements for Two-Dimensional Elasto-Plasticity Problems Siam Journal On Numerical Analysis. 34: 998-1036. DOI: 10.1137/S0036142994263578  0.514
1997 Makridakis CG, Babuska I. On the Stability of the Discontinuous Galerkin Method for the Heat Equation Siam Journal On Numerical Analysis. 34: 389-401. DOI: 10.1137/S0036142994261658  0.406
1997 Guo B, Babuška I. Regularity of the solutions for elliptic problems on nonsmooth domains in ℝ3. Part II: Regularity in neighbourhoods of edges Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 127: 517-545. DOI: 10.1017/S0308210500029899  0.455
1997 Ihlenburg F, Babuska I, Sauter S. Reliability of finite element methods for the numerical computation of waves Advances in Engineering Software. 28: 417-424. DOI: 10.1016/S0965-9978(97)00007-0  0.475
1997 Tsuchiya T, Babuška I. A priori error estimates of finite element solutions of parametrized strongly nonlinear boundary value problems Journal of Computational and Applied Mathematics. 79: 41-66. DOI: 10.1016/S0377-0427(96)00149-5  0.497
1997 Babuška I, Strouboulis T, Copps K. hp Optimization of finite element approximations: Analysis of the optimal mesh sequences in one dimension Computer Methods in Applied Mechanics and Engineering. 150: 89-108. DOI: 10.1016/S0045-7825(97)00100-X  0.443
1997 Liu K, Babuška I. Dimensional reduction for Helmholtz's equation on a bounded domain Numerische Mathematik. 77: 501-533. DOI: 10.1007/S002110050298  0.365
1997 Li L, Babuška I, Chen J. The boundary layer for p-model plate problems. Part II. Boundary layer behavior Acta Mechanica. 122: 203-216. DOI: 10.1007/Bf01181999  0.382
1997 Babuska I, Strouboulis T, Upadhyay S. Model study of the quality of a posteriori error estimators for finite element solutions of linear elliptic problems, with particular reference to the behavior near the boundary International Journal For Numerical Methods in Engineering. 40: 2521-2577. DOI: 10.1002/(Sici)1097-0207(19970730)40:14<2521::Aid-Nme181>3.0.Co;2-A  0.359
1996 Makridakis C, Ihlenburg F, Babuška I. Analysis And Finite Element Methods For A Fluid-Solid Interaction Problem In One Dimension Mathematical Models and Methods in Applied Sciences. 6: 1119-1141. DOI: 10.1142/S0218202596000468  0.515
1996 Zhang Z, Babuska I. A Numerical Method for Steady State Free Boundary Problems Siam Journal On Numerical Analysis. 33: 2184-2214. DOI: 10.1137/S0036142992229853  0.494
1996 Li Y, Babuška I. A convergence analysis of a P-version finite element method for one-dimensional elastoplasticity problem with constitutive laws based on the gauge function method Siam Journal On Numerical Analysis. 33: 809-842. DOI: 10.1137/0733041  0.531
1996 Babuška I, Schwab C. A posteriori error estimation for hierarchic models of elliptic boundary value problems on thin domains Siam Journal On Numerical Analysis. 33: 221-246. DOI: 10.1137/0733013  0.438
1996 Babuška I, Andersson B, Guo B, Melenk JM, Oh HS. Finite element method for solving problems with singular solutions Journal of Computational and Applied Mathematics. 74: 51-70. DOI: 10.1016/0377-0427(96)00017-9  0.55
1996 Chen Q, Babuška I. Adaptive procedure for approximating functions by continuous piecewise polynomials Communications in Numerical Methods in Engineering. 12: 483-495. DOI: 10.1002/(Sici)1099-0887(199608)12:8<483::Aid-Cnm996>3.0.Co;2-X  0.428
1995 Suri M, Babuška I, Schwab C. Locking effects in the finite element approximation of plate models Mathematics of Computation. 64: 461-482. DOI: 10.2307/2153434  0.437
1995 Oh HS, Babuska I. The method of auxiliary mapping for the finite element solutions of elasticity problems containing singularities Journal of Computational Physics. 121: 193-212. DOI: 10.1016/S0021-9991(95)90017-9  0.532
1995 Ihlenburg F, Babuška I. Finite element solution of the Helmholtz equation with high wave number Part I: The h-version of the FEM☆ Computers & Mathematics With Applications. 30: 9-37. DOI: 10.1016/0898-1221(95)00144-N  0.465
1995 Babuška I, Strouboulis T, Upadhyay CS, Gangaraj SK. A model study of element residual estimators for linear elliptic problems: The quality of the estimators in the interior of meshes of triangles and quadrilaterals Computers and Structures. 57: 1009-1028. DOI: 10.1016/0045-7949(95)00075-R  0.447
1995 Chen Q, Babuška I. Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle Computer Methods in Applied Mechanics and Engineering. 128: 405-417. DOI: 10.1016/0045-7825(95)00889-6  0.346
1995 Papadakis PJ, Babuska I. A numerical procedure for the determination of certain quantities related to the stress intensity factors in two-dimensional elasticity Computer Methods in Applied Mechanics and Engineering. 122: 69-92. DOI: 10.1016/0045-7825(94)00748-C  0.453
1995 Babuška I, Strouboulis T, Upadhyay CS. η%-Superconvergence of finite element approximations in the interior of general meshes of triangles Computer Methods in Applied Mechanics and Engineering. 122: 273-305. DOI: 10.1016/0045-7825(94)00716-Z  0.505
1995 Andersson B, Babuska I, Petersdorff TV, Falk U. Reliable stress and fracture mechanics analysis of complex components using a h–p version of FEM International Journal For Numerical Methods in Engineering. 38: 2135-2163. DOI: 10.1002/Nme.1620381302  0.355
1994 Babuška I, Suri M. The P and H-P versions of the finite element method, basic principles and properties Siam Review. 36: 578-632. DOI: 10.1137/1036141  0.384
1994 Babuska I, Von Petersdorff T, Andersson B. Numerical treatment of vertex singularities and intensity factors for mixed boundary value problems for the laplace equation in R3 Siam Journal On Numerical Analysis. 31: 1265-1288. DOI: 10.1137/0731066  0.489
1994 Babuška I, Caloz G, Osborn JE. Special finite element methods for a class of second order elliptic problems with rough coefficients Siam Journal On Numerical Analysis. 31: 945-981. DOI: 10.1137/0731051  0.536
1994 Babuška I, Strouboulis T, Gangaraj SK, Upadhyay CS. η%-Superconvergence in the interior of locally refined meshes of quadrilaterals: superconvergence of the gradient in finite element solutions of Laplace's and Poisson's equations Applied Numerical Mathematics. 16: 3-49. DOI: 10.1016/0168-9274(94)00029-8  0.496
1994 Babuška I, Strouboulis T, Mathur A, Upadhyay CS. Pollution-error in the h-version of the finite-element method and the local quality of a-posteriori error estimators Finite Elements in Analysis and Design. 17: 273-321. DOI: 10.1016/0168-874X(94)90003-5  0.462
1993 Szabo B, Babuska I. Finite Element Analysis. Mathematics of Computation. 60: 432. DOI: 10.2307/2153181  0.441
1993 Guo BQ, Babuska I. On the Regularity of Elasticity Problems with Piecewise Analytic Data Advances in Applied Mathematics. 14: 307-347. DOI: 10.1006/Aama.1993.1016  0.467
1992 Babuška I, Suri M. On locking and robustness in the finite element method Siam Journal On Numerical Analysis. 29: 1261-1293. DOI: 10.1137/0729075  0.463
1992 Babuška I, Durán R, Rodríguez R. Analysis of the efficiency of an a posteriori error estimator for linear triangular finite elements Siam Journal On Numerical Analysis. 29: 947-964. DOI: 10.1137/0729058  0.528
1992 Babuška I, Guo BQ. The h, p and h-p version of the finite element method: basis theory and applications Advances in Engineering Software. 15: 159-174. DOI: 10.1016/0965-9978(92)90097-Y  0.391
1992 Babuška I, Plank L, Rodríguez R. Quality assessment of the a-posteriori error estimation in finite elements Finite Elements in Analysis and Design. 11: 285-306. DOI: 10.1016/0168-874X(92)90011-Z  0.441
1992 Babuška I, Li L. The problem of plate modeling: theoretical and computational results Computer Methods in Applied Mechanics and Engineering. 100: 249-273. DOI: 10.1016/0045-7825(92)90185-M  0.423
1992 Oh H, Babuška I. The p -version of the finite element method for the elliptic boundary value problems with interfaces Applied Mechanics and Engineering. 97: 211-231. DOI: 10.1016/0045-7825(92)90164-F  0.486
1992 Babuška I, Planck L, Rodriguez R. Basic problems of a posteriori error estimation Computer Methods in Applied Mechanics and Engineering. 101: 97-112. DOI: 10.1016/0045-7825(92)90017-E  0.455
1992 Babuška I, Suri M. Locking effects in the finite element approximation of elasticity problems Numerische Mathematik. 62: 439-463. DOI: 10.1007/Bf01396238  0.509
1992 Babuska I, Li L. The h–p-version of the finite-element method in the plate modelling problem Communications in Applied Numerical Methods. 8: 17-26. DOI: 10.1002/Cnm.1630080104  0.483
1992 Babuska I, Li L. H-p-version of the finite-element method in the plate modelling problem Communications in Applied Numerical Methods. 8: 17-26.  0.375
1991 Babuška I, Craig A, Mandel J, Pitkäranta J. Efficient Preconditioning for thep-Version Finite Element Method in Two Dimensions Siam Journal On Numerical Analysis. 28: 624-661. DOI: 10.1137/0728034  0.488
1991 Babuska I, Craig A, Mandel J, Pitkaranta J. Efficient preconditioning for the p-version finite element method in two dimensions Siam Journal On Numerical Analysis. 28: 624-661.  0.372
1990 Babuška I. The problem of modeling the elastomechanics in engineering Applied Mechanics and Engineering. 82: 155-182. DOI: 10.1016/0045-7825(90)90163-G  0.339
1990 Babuška I, Guo B, Stephan EP. The h-p version of the boundary element method with geometric mesh on polygonal domains Applied Mechanics and Engineering. 80: 319-325. DOI: 10.1016/0045-7825(90)90036-L  0.467
1990 Babuška I, Suri M. The p - and h-p version of the finite element method, an overview Applied Mechanics and Engineering. 80: 5-26. DOI: 10.1016/0045-7825(90)90011-A  0.413
1990 Babuska I, Oh H. The p‐version of the finite element method for domains with corners and for infinite domains Numerical Methods For Partial Differential Equations. 6: 371-392. DOI: 10.1002/Num.1690060407  0.462
1990 Babuska I, Guo BQ, Stephan EP. On the exponential convergence of the h-p version for boundary element Galerkin methods on polygons Mathematical Methods in the Applied Sciences. 12: 413-427. DOI: 10.1002/Mma.1670120506  0.474
1989 Babuška I, Guo BQ, Osborn JE. Regularity and numerical solution of eigenvalue problems with piecewise analytic data Siam Journal On Numerical Analysis. 26: 1534-1560. DOI: 10.1137/0726090  0.452
1989 Greenberg L, Babuška I. A continuous analogue of sturm sequences in the context of Sturm-Liouville equation Siam Journal On Numerical Analysis. 26: 920-945. DOI: 10.1137/0726051  0.432
1989 Babuška I, Guo BQ. Regularity of the solution of elliptic problems with piecewise analytic data, II: the trace spaces and application to the boundary value problems with nonhomogeneous boundary conditions Siam Journal On Mathematical Analysis. 20: 763-781. DOI: 10.1137/0520054  0.374
1989 Babuska I. Trends in finite elements Ieee Transactions On Magnetics. 25: 2799-2803. DOI: 10.1109/20.34289  0.499
1989 Babuska I, Osborn JE. Finite element-galerkin approximation of the eigenvalues and eigenvectors of selfao\joint problems Mathematics of Computation. 52: 275-297. DOI: 10.1090/S0025-5718-1989-0962210-8  0.529
1989 Babuška I, Guo B, Suri M. Implementation of nonhomogeneous Dirichlet boundary conditions in the p version of the finite element method Impact of Computing in Science and Engineering. 1: 36-63. DOI: 10.1016/0899-8248(89)90019-0  0.463
1989 Babuška I, Elman H. Some aspects of parallel implementation of the finite-element method on message passing architectures Journal of Computational and Applied Mathematics. 27: 157-187. DOI: 10.1016/0377-0427(89)90365-8  0.467
1989 Babuška I, Suri M. The treatment of nonhomogeneous Dirichlet boundary conditions by thep-version of the finite element method Numerische Mathematik. 55: 97-121. DOI: 10.1007/Bf01395874  0.494
1989 Babuska I, Janik T. The h‐p version of the finite element method for parabolic equations. Part I. The p‐version in time Numerical Methods For Partial Differential Equations. 5: 363-399. DOI: 10.1002/Num.1690050407  0.501
1989 Babuška I, Scapolla T. Benchmark computation and performance evaluation for a rhombic plate bending problem International Journal For Numerical Methods in Engineering. 28: 155-179. DOI: 10.1002/Nme.1620280112  0.342
1988 Szabo BA, Babuska I. Computation of the amplitude of stress singular terms for cracks and reentrant corners Astm Special Technical Publications. 101-124. DOI: 10.1520/Stp33072S  0.473
1988 Jensen S, Babuska I. Dimensional reduction for nonlinear boundary value problems Siam Journal On Numerical Analysis. 25: 644-669. DOI: 10.1137/0725039  0.461
1988 Babuška I, Guo BQ. Regularity of the solution of elliptic problems with piecewise analytic data. Part 1. Boundary value problems for linear elliptic equation of second order Siam Journal On Mathematical Analysis. 19: 172-203. DOI: 10.1137/0519014  0.415
1988 Babuska I, Suri M. The p-Version of the Finite Element Method for Constraint Boundary Conditions. Mathematics of Computation. 51: 1-13. DOI: 10.1090/S0025-5718-1988-0942140-7  0.473
1987 Babuska I, Majer V. FACTORIZATION METHOD FOR THE NUMERICAL SOLUTION OF TWO POINT BOUNDARY VALUE PROBLEMS FOR LINEAR ODE'S Siam Journal On Numerical Analysis. 24: 1301-1334. DOI: 10.1137/0724085  0.467
1987 Babuska I, Osborn JE. ESTIMATES FOR THE ERRORS IN EIGENVALUE AND EIGENVECTOR APPROXIMATION BY GALERKIN METHODS, WITH PARTICULAR ATTENTION TO THE CASE OF MULTIPLE EIGENVALUES Siam Journal On Numerical Analysis. 24: 1249-1276. DOI: 10.1137/0724082  0.491
1987 Babuška I, Suri M. The optimal convergence rate of the p-version of the finite element method Siam Journal On Numerical Analysis. 24: 750-776. DOI: 10.1137/0724049  0.483
1987 Babuska I, Suri M. The $h-p$ version of the finite element method with quasiuniform meshes Mathematical Modelling and Numerical Analysis. 21: 199-238. DOI: 10.1051/M2An/1987210201991  0.43
1987 Noor AK, Babuška I. Geometrically nonlinear analysis of layerwise anisotropic shell structures by hybrid strain based lower order elements Finite Elements in Analysis and Design. 37: 1-34. DOI: 10.1016/S0168-874X(00)00015-9  0.422
1987 Babuška I. Information-based numerical practice Journal of Complexity. 3: 331-346. DOI: 10.1016/0885-064X(87)90019-7  0.408
1987 Babuška I, Miller A. A feedback element method with a posteriori error estimation: Part I. The finite element method and some basic properties of the a posteriori error estimator Applied Mechanics and Engineering. 61: 1-40. DOI: 10.1016/0045-7825(87)90114-9  0.531
1987 Rank E, Babuška I. An expert system for the optimal mesh design in the hp‐version of the finite element method International Journal For Numerical Methods in Engineering. 24: 2087-2106. DOI: 10.1002/Nme.1620241106  0.394
1987 Babuška I, Oh H. Pollution problem of the p‐ and h–p versions of the finite element method Communications in Applied Numerical Methods. 3: 553-561. DOI: 10.1002/Cnm.1630030617  0.501
1987 Babuska I, Suri M. OPTIMAL CONVERGENCE RATE OF THE P-VERSION OF THE FINITE ELEMENT METHOD Siam Journal On Numerical Analysis. 24: 750-776.  0.394
1987 Babuska I, Oh HS. POLLUTION PROBLEM OF THE p- AND h-p VERSIONS OF THE FINITE ELEMENT METHOD Communications in Applied Numerical Methods. 3: 553-561.  0.376
1986 Babuška I, Gui W. Basic principles of feedback and adaptive approaches in the finite element method Applied Mechanics and Engineering. 55: 27-42. DOI: 10.1016/0045-7825(86)90084-8  0.507
1986 Bieterman M, Babuška I. An adaptive method of lines with error control for parabolic equations of the reaction-diffusion type Journal of Computational Physics. 63: 33-66. DOI: 10.1016/0021-9991(86)90083-5  0.405
1986 Gui W, Babuška I. The h , p and h-p versions of the finite element method in 1 dimension. Part II. The error analysis of the h and h-p versions Numerische Mathematik. 49: 613-657. DOI: 10.1007/Bf01389734  0.418
1986 Gui W, Babuška I. The h,p and h-p versions of the finite element method in 1 dimension Numerische Mathematik. 49: 577-612. DOI: 10.1007/Bf01389733  0.476
1984 Arnold DN, Babuška I, Osborn J. Finite element methods: Principles for their selection Computer Methods in Applied Mechanics and Engineering. 45: 57-96. DOI: 10.1016/0045-7825(84)90151-8  0.491
1984 Babuška I, Miller A. The post‐processing approach in the finite element method—Part 2: The calculation of stress intensity factors International Journal For Numerical Methods in Engineering. 20: 1111-1129. DOI: 10.1002/Nme.1620200611  0.393
1984 Babuška I, Miller A. The post-processing approach in the finite element method—part 1: Calculation of displacements, stresses and other higher derivatives of the displacements International Journal For Numerical Methods in Engineering. 20: 1085-1109. DOI: 10.1002/Nme.1620200610  0.483
1984 Szymczak WG, Babuska I. ADAPTIVITY AND ERROR ESTIMATION FOR THE FINITE ELEMENT METHOD APPLIED TO CONVECTION DIFFUSION PROBLEMS Siam Journal On Numerical Analysis. 21: 910-954.  0.391
1984 Babuska I, Gui W, Szabo B. PERFORMANCE OF THE h, p AND h-p VERSIONS OF THE FINITE ELEMENT METHOD Nasa Conference Publication. 73-93.  0.398
1983 Babuška I, Osborn JE. Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods Siam Journal On Numerical Analysis. 20: 510-536. DOI: 10.1137/0720034  0.501
1983 De JP, Kelly DW, Zienkiewicz OC, Babuska I. A posteriori error analysis and adaptive processes in the finite element method: Part II—adaptive mesh refinement International Journal For Numerical Methods in Engineering. 19: 1621-1656. DOI: 10.1002/Nme.1620191104  0.514
1983 Kelly DW, De JP, Zienkiewicz OC, Babuska I. A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysis International Journal For Numerical Methods in Engineering. 19: 1593-1619. DOI: 10.1002/Nme.1620191103  0.51
1983 Babuska I, Miller AD. POST-PROCESSING APPROACH IN THE FINITE ELEMENT METHOD American Society of Mechanical Engineers, Applied Mechanics Division, Amd. 54: 1-14.  0.334
1982 Babuška I, Rheinboldt WC. Computational error estimates and adaptive processes for some nonlinear structural problems Computer Methods in Applied Mechanics and Engineering. 34: 895-937. DOI: 10.1016/0045-7825(82)90094-9  0.464
1982 Babuška I, Szymczak WG. An Error Analysis for the Finite Element Method Applied to Convection Diffusion Problems. Computer Methods in Applied Mechanics and Engineering. 31: 19-42. DOI: 10.1016/0045-7825(82)90044-5  0.512
1982 Bieterman M, Babuška I. The finite element method for parabolic equations Numerische Mathematik. 40: 339-371. DOI: 10.1007/Bf01396451  0.537
1982 Babuska I, Szabo B. On the rates of convergence of the finite element method International Journal For Numerical Methods in Engineering. 18: 323-341. DOI: 10.1002/Nme.1620180302  0.462
1982 Babuska I. The reliability estimates and adaptivity of finite element engineering computations 0.339
1981 Babuska I, Rheinboldt WC. A Posteriori Error Analysis of Finite Element Solutions for One-Dimensional Problems Siam Journal On Numerical Analysis. 18: 565-589. DOI: 10.1137/0718036  0.476
1981 Babuska I, Szabo BA, Katz IN. The p-Version of the Finite Element Method Siam Journal On Numerical Analysis. 18: 515-545. DOI: 10.1137/0718033  0.503
1981 Vogelius M, Babuska I. On a dimensional reduction method a posteriori error estimation and an adaptive approach Mathematics of Computation. 37: 361-384. DOI: 10.1090/S0025-5718-1981-0628701-7  0.425
1981 Vogelius M, Babuska I. On a dimensional reduction method ii some approximation theoretic results Mathematics of Computation. 37: 47-58. DOI: 10.1090/S0025-5718-1981-0616359-2  0.419
1981 Vogelius M, Babuska I. On a dimensional reduction method i the optimal selection of basis functions Mathematics of Computation. 37: 31-46. DOI: 10.1090/S0025-5718-1981-0616358-0  0.377
1981 Babuška I, Dorr MR. Error estimates for the combinedh andp versions of the finite element method Numerische Mathematik. 37: 257-277. DOI: 10.1007/Bf01398256  0.526
1980 Babuska I, Osborn J, Pitkaranta J. Analysis of mixed methods using mesh dependent norms Mathematics of Computation. 35: 1039-1062. DOI: 10.1090/S0025-5718-1980-0583486-7  0.438
1980 Babuška I, Osborn J. Analysis of finite element methods for second order boundary value problems using mesh dependent norms Numerische Mathematik. 34: 41-62. DOI: 10.1007/Bf01463997  0.521
1979 Babuska I, Rheinboldt WC. Analysis of Optimal Finite Element Meshes in R1 Mathematics of Computation. 33: 435-435. DOI: 10.2307/2006290  0.55
1979 Babuska I, Rheinboldt WC. Analysis of optimal finite-element meshes in R Mathematics of Computation. 33: 435-463. DOI: 10.1090/S0025-5718-1979-0521270-2  0.549
1979 Babuska I, Rheinboldt WC. On the reliability and optimality of the finite element method Computers & Structures. 10: 87-94. DOI: 10.1016/0045-7949(79)90076-2  0.5
1979 Babuška I, Kellogg RB, Pitkäranta J. Direct and inverse error estimates for finite elements with mesh refinements Numerische Mathematik. 33: 447-471. DOI: 10.1007/Bf01399326  0.535
1978 Babuška I, Osborn JE. Numerical treatment of eigenvalue problems for differential equations with discontinuous coefficients Mathematics of Computation. 32: 991-1023. DOI: 10.2307/2006330  0.393
1978 Babuška I, Rheinboldt WC. A‐posteriori error estimates for the finite element method International Journal For Numerical Methods in Engineering. 12: 1597-1615. DOI: 10.1002/Nme.1620121010  0.556
1977 Babuska I, Oden JT, Lee JK. Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems Computer Methods in Applied Mechanics and Engineering. 11: 175-206. DOI: 10.1016/0045-7825(77)90058-5  0.446
1976 Babuška I. Solution of Interface Problems by Homogenization. I Siam Journal On Mathematical Analysis. 7: 603-634. DOI: 10.1137/0507048  0.359
1976 Babuska I, Aziz AK. ON THE ANGLE CONDITION IN THE FINITE ELEMENT METHOD Siam Journal On Numerical Analysis. 13: 214-226.  0.384
1973 Babuška I, Zlámal M. Nonconforming Elements in the Finite Element Method with Penalty Siam Journal On Numerical Analysis. 10: 863-875. DOI: 10.1137/0710071  0.496
1973 Babuska I. The finite element method with penalty Mathematics of Computation. 27: 221-228. DOI: 10.1090/S0025-5718-1973-0351118-5  0.484
1973 Babuška I. The finite element method with Lagrangian multipliers Numerische Mathematik. 20: 179-192. DOI: 10.1007/Bf01436561  0.538
1972 Babuska I. The finite element method for infinite domains Mathematics of Computation. 26: 1-11. DOI: 10.1090/S0025-5718-1972-0298969-2  0.51
1972 Babuška I, Rosenzweig MB. A finite element scheme for domains with corners Numerische Mathematik. 20: 1-21. DOI: 10.1007/Bf01436639  0.435
1971 Babuška I. Error-bounds for finite element method Numerische Mathematik. 16: 322-333. DOI: 10.1007/Bf02165003  0.478
1970 Babuška I. The finite element method for elliptic equations with discontinuous coefficients Computing. 5: 207-213. DOI: 10.1007/Bf02248021  0.512
1968 Babuška I. Problems of Optimization and Numerical Stability in Computations Applications of Mathematics. 13: 25-67. DOI: 10.1007/978-3-642-11057-3_2  0.378
1967 Babuška I. On regularization of the optimal formula for computing Fourier coefficients Applications of Mathematics. 12: 101-106. DOI: 10.21136/Am.1967.103075  0.303
1966 Babuška I. Optimal regularization of summation methods of a Fourier series Applications of Mathematics. 11: 333-340. DOI: 10.21136/Am.1966.103040  0.307
1965 Babuška I. On optimal formulas for numerical computation of linear functionals Applications of Mathematics. 10: 441-443. DOI: 10.21136/Am.1965.102983  0.345
1965 Babuška I. Numerical stability of the Ritz method Applications of Mathematics. 10: 196-199. DOI: 10.21136/Am.1965.102948  0.344
1962 Babuška I. Stability with regard to the definition domain and the question of formulation of the slab problems. (Advanced Note) Applications of Mathematics. 7: 463-467. DOI: 10.21136/Am.1962.102830  0.353
1961 Babuška I, Kautský J. Ein Beitrag zur Theorie der Kerbspannungen Zamm-Zeitschrift Fur Angewandte Mathematik Und Mechanik. 41: 420-427. DOI: 10.1002/Zamm.19610411005  0.4
1956 Babuška I. A solution of the biharmonic problem in an infinite strip Applications of Mathematics. 1: 34-43. DOI: 10.21136/Am.1956.102514  0.373
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