| Year |
Citation |
Score |
| 2020 |
Capodaglio G, D'Elia M, Bochev PB, Gunzburger MD. An energy-based coupling approach to nonlocal interface problems Computers & Fluids. 207: 104593. DOI: 10.1016/J.Compfluid.2020.104593 |
0.43 |
|
| 2020 |
Bochev P, Ridzal D, D’Elia M, Perego M, Peterson K. Optimization-based, property-preserving finite element methods for scalar advection equations and their connection to Algebraic Flux Correction Computer Methods in Applied Mechanics and Engineering. 367: 112982. DOI: 10.1016/J.Cma.2020.112982 |
0.541 |
|
| 2019 |
Cheung J, Perego M, Bochev PB, Gunzburger MD. Optimally accurate higher-order finite element methods for polytopial approximations of domains with smooth boundaries Ieee Communications Magazine. 88: 2187-2219. DOI: 10.1090/Mcom/3415 |
0.504 |
|
| 2019 |
Peterson KJ, Bochev PB, Kuberry PA. Explicit synchronous partitioned algorithms for interface problems based on Lagrange multipliers Computers & Mathematics With Applications. 78: 459-482. DOI: 10.1016/J.Camwa.2018.09.045 |
0.582 |
|
| 2017 |
Kuberry P, Bochev PB, Peterson K. An Optimization-Based Approach for Elliptic Problems with Interfaces Siam Journal On Scientific Computing. 39. DOI: 10.1137/16M1084547 |
0.446 |
|
| 2017 |
Cheung J, Frischknecht AL, Perego M, Bochev P. A hybrid, coupled approach for modeling charged fluids from the nano to the mesoscale Journal of Computational Physics. 348: 364-384. DOI: 10.1016/J.Jcp.2017.07.030 |
0.416 |
|
| 2016 |
Olson D, Shapeev AV, Bochev PB, Luskin M. Analysis of an optimization-based atomistic-to-continuum coupling method for point defects Esaim: Mathematical Modelling and Numerical Analysis. 50: 1-41. DOI: 10.1051/M2An/2015023 |
0.451 |
|
| 2016 |
D'Elia M, Ridzal D, Peterson KJ, Bochev P, Shashkov M. Optimization-based mesh correction with volume and convexity constraints Journal of Computational Physics. 313: 455-477. DOI: 10.1016/J.Jcp.2016.02.050 |
0.489 |
|
| 2016 |
Bochev P, Ridzal D. Optimization-based additive decomposition of weakly coercive problems with applications Computers & Mathematics With Applications. 71: 2140-2154. DOI: 10.1016/J.Camwa.2015.12.032 |
0.491 |
|
| 2016 |
D'Elia M, Perego M, Bochev P, Littlewood D. A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions Computers and Mathematics With Applications. 71: 2218-2230. DOI: 10.1016/J.Camwa.2015.12.006 |
0.477 |
|
| 2016 |
Bochev P, Gunzburger M. Least-Squares Methods for Hyperbolic Problems Handbook of Numerical Analysis. 17: 289-317. DOI: 10.1016/Bs.Hna.2016.07.002 |
0.6 |
|
| 2015 |
D'Elia M, Bochev PB. Optimization-based coupling of nonlocal and local diffusion models Materials Research Society Symposium Proceedings. 1753: 44-48. DOI: 10.1557/Opl.2015.109 |
0.522 |
|
| 2015 |
Bochev P, Perego M, Peterson K. Formulation and analysis of a parameter-free stabilized finite element method Siam Journal On Numerical Analysis. 53: 2363-2388. DOI: 10.1137/14096284X |
0.494 |
|
| 2015 |
Bochev P, Peterson K, Perego M. A multiscale control volume finite element method for advection-diffusion equations International Journal For Numerical Methods in Fluids. 77: 641-667. DOI: 10.1002/Fld.3998 |
0.565 |
|
| 2015 |
Bochev PB, Moe SA, Peterson KJ, Ridzal D. A conservative, optimization-based semi-lagrangian spectral element method for passive tracer transport Coupled Problems 2015 - Proceedings of the 6th International Conference On Coupled Problems in Science and Engineering. 23-34. |
0.337 |
|
| 2014 |
Olson D, Bochev PB, Luskin M, Shapeev AV. An optimization-based atomistic-to-continuum coupling method Siam Journal On Numerical Analysis. 52: 2183-2204. DOI: 10.1137/13091734X |
0.496 |
|
| 2014 |
Kramer RMJ, Bochev PB, Siefert CM, Voth TE. Algebraically constrained extended edge element method (eXFEM-AC) for resolution of multi-material cells Journal of Computational Physics. 276: 596-612. DOI: 10.1016/j.jcp.2014.07.021 |
0.305 |
|
| 2014 |
Koren B, Abgrall R, Bochev P, Frank J, Perot B. Editorial: Physics-compatible numerical methods Journal of Computational Physics. 257: 1039-1039. DOI: 10.1016/J.Jcp.2013.10.015 |
0.456 |
|
| 2014 |
Bochev P, Ridzal D, Peterson K. Optimization-based remap and transport: A divide and conquer strategy for feature-preserving discretizations Journal of Computational Physics. 257: 1113-1139. DOI: 10.1016/J.Jcp.2013.03.057 |
0.433 |
|
| 2014 |
Bochev P, Demkowicz L, Gopalakrishnan J, Gunzburger M. Minimum residual and least squares finite element methods Computers and Mathematics With Applications. 68: 1479. DOI: 10.1016/J.Camwa.2014.11.005 |
0.488 |
|
| 2013 |
Bochev PB, Peterson KJ. A parameter-free stabilized finite element method for scalar advection-diffusion problems. Open Mathematics. 11: 1458-1477. DOI: 10.2478/S11533-013-0250-8 |
0.541 |
|
| 2013 |
Bochev PB, Ridzal D, Shashkov MJ. Fast optimization-based conservative remap of scalar fields through aggregate mass transfer. Journal of Computational Physics. 246: 37-57. DOI: 10.1016/J.Jcp.2013.03.040 |
0.434 |
|
| 2013 |
Kramer RMJ, Bochev PB, Siefert C, Voth TE. An extended finite element method with algebraic constraints (XFEM-AC) for problems with weak discontinuities Computer Methods in Applied Mechanics and Engineering. 266: 70-80. DOI: 10.1016/J.Cma.2013.07.013 |
0.539 |
|
| 2013 |
Bochev P, Peterson K, Gao X. A new Control Volume Finite Element Method for the stable and accurate solution of the drift–diffusion equations on general unstructured grids Computer Methods in Applied Mechanics and Engineering. 254: 126-145. DOI: 10.1016/J.Cma.2012.10.009 |
0.572 |
|
| 2013 |
Bochev P, Lai J, Olson L. A non‐conforming least‐squares finite element method for incompressible fluid flow problems International Journal For Numerical Methods in Fluids. 72: 375-402. DOI: 10.1002/Fld.3748 |
0.53 |
|
| 2012 |
Bochev P, Edwards HC, Kirby RC, Peterson K, Ridzal D. Solving PDEs with Intrepid Scientific Programming. 20: 151-180. DOI: 10.1155/2012/403902 |
0.453 |
|
| 2012 |
Bochev PB, Lai J, Olson L. A locally conservative, discontinuous least-squares finite element method for the Stokes equations International Journal For Numerical Methods in Fluids. 68: 782-804. DOI: 10.1002/Fld.2536 |
0.551 |
|
| 2011 |
Bochev PB, Lehoucq RB. Energy Principles and Finite Element Methods for Pure Traction Linear Elasticity Computational Methods in Applied Mathematics. 11: 173-191. DOI: 10.2478/Cmam-2011-0009 |
0.548 |
|
| 2011 |
Bochev PB, Peterson K, Siefert CM. Analysis and computation of compatible least-squares methods for div-curl equations Siam Journal On Numerical Analysis. 49: 159-181. DOI: 10.1137/090772095 |
0.597 |
|
| 2011 |
Bochev P, Ridzal D, Scovazzi G, Shashkov M. Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods Journal of Computational Physics. 230: 5199-5225. DOI: 10.1016/J.Jcp.2011.03.017 |
0.476 |
|
| 2009 |
Bochev PB, Ridzal D. An Optimization-Based Approach for the Design of PDE Solution Algorithms Siam Journal On Numerical Analysis. 47: 3938-3955. DOI: 10.1137/090748111 |
0.439 |
|
| 2008 |
Bochev PB, Ridzal D. Rehabilitation of the lowest-order Raviart-Thomas element on quadrilateral grids Siam Journal On Numerical Analysis. 47: 487-507. DOI: 10.1137/070704265 |
0.568 |
|
| 2008 |
Bochev PB, Hu JJ, Siefert CM, Tuminaro RS. An Algebraic Multigrid Approach Based on a Compatible Gauge Reformulation of Maxwell's Equations Siam Journal On Scientific Computing. 31: 557-583. DOI: 10.1137/070685932 |
0.575 |
|
| 2008 |
Parks ML, Bochev PB, Lehoucq RB. Connecting atomistic-to-continuum coupling and domain decomposition Multiscale Modeling and Simulation. 7: 362-380. DOI: 10.1137/070682848 |
0.454 |
|
| 2008 |
Day D, Bochev P. Analysis and computation of a least-squares method for consistent mesh tying Journal of Computational and Applied Mathematics. 218: 21-33. DOI: 10.1016/J.Cam.2007.04.049 |
0.559 |
|
| 2008 |
Bochev PB, Gunzburger MD. A locally conservative least-squares method for Darcy flows Communications in Numerical Methods in Engineering. 24: 97-110. DOI: 10.1002/Cnm.957 |
0.573 |
|
| 2007 |
Badia S, Bochev P, Lehoucq R, Parks ML, Fish J, Nuggehally MA, Gunzburger M. A force-based blending model foratomistic-to-continuum coupling International Journal For Multiscale Computational Engineering. 5: 387-406. DOI: 10.1615/Intjmultcompeng.V5.I5.30 |
0.341 |
|
| 2007 |
Parks ML, Romero L, Bochev P. A novel Lagrange-multiplier based method for consistent mesh tying☆ Computer Methods in Applied Mechanics and Engineering. 196: 3335-3347. DOI: 10.1016/J.Cma.2007.03.013 |
0.534 |
|
| 2007 |
Bochev PB, Gunzburger MD, Lehoucq RB. On stabilized finite element methods for the Stokes problem in the small time step limit International Journal For Numerical Methods in Fluids. 53: 573-597. DOI: 10.1002/Fld.1295 |
0.504 |
|
| 2006 |
Bochev PB, Dohrmann CR, Gunzburger MD. Stabilization of low-order mixed finite elements for the stokes equations Siam Journal On Numerical Analysis. 44: 82-101. DOI: 10.1137/S0036142905444482 |
0.531 |
|
| 2006 |
Hu JJ, Tuminaro RS, Bochev PB, Garasi CJ, Robinson AC. Toward an h-independent algebraic multigrid method for Maxwell's equations Siam Journal On Scientific Computing. 27: 1669-1688. DOI: 10.1137/040608118 |
0.431 |
|
| 2006 |
Bochev P, Gunzburger MD. Least-squares finite element methods for optimality systems arising in optimization and control problems Siam Journal On Numerical Analysis. 43: 2517-2543. DOI: 10.1137/040607848 |
0.556 |
|
| 2006 |
Hughes TJR, Scovazzi G, Bochev PB, Buffa A. A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method Computer Methods in Applied Mechanics and Engineering. 195: 2761-2787. DOI: 10.1016/J.Cma.2005.06.006 |
0.527 |
|
| 2006 |
Bochev P, Gunzburger M. Compatible discretizations of second-order elliptic problems Journal of Mathematical Sciences. 136: 3691-3705. DOI: 10.1007/S10958-006-0193-8 |
0.54 |
|
| 2006 |
Bochev PB, Dohrmann CR. A computational study of stabilized, low-order C 0 finite element approximations of darcy equations Computational Mechanics. 38: 323-333. DOI: 10.1007/S00466-006-0036-Y |
0.547 |
|
| 2006 |
Bochev P, Kim SD, Shin B. Analysis and computation of least‐squares methods for a compressible Stokes problem Numerical Methods For Partial Differential Equations. 22: 867-883. DOI: 10.1002/Num.20126 |
0.557 |
|
| 2006 |
Bochev PB, Lehoucq RB. Regularization and stabilization of discrete saddle-point variational problems Electronic Transactions On Numerical Analysis. 22: 97-113. |
0.325 |
|
| 2005 |
Bochev PB, Gunzburger MD. On Least-Squares Variational Principles for the Discretization of Optimization and Control Problems Methods and Applications of Analysis. 12: 395-426. DOI: 10.4310/Maa.2005.V12.N4.A3 |
0.625 |
|
| 2005 |
Bochev P, Lehoucq RB. On the Finite Element Solution of the Pure Neumann Problem Siam Review. 47: 50-66. DOI: 10.1137/S0036144503426074 |
0.515 |
|
| 2005 |
Bochev P, Gunzburger M. On Least-Squares Finite Element Methods for the Poisson Equation and Their Connection to the Dirichlet and Kelvin Principles Siam Journal On Numerical Analysis. 43: 340-362. DOI: 10.1137/S003614290443353X |
0.572 |
|
| 2005 |
Bochev P, Shashkov M. Constrained interpolation (remap) of divergence-free fields Computer Methods in Applied Mechanics and Engineering. 194: 511-530. DOI: 10.1016/J.Cma.2004.05.018 |
0.445 |
|
| 2004 |
Barth T, Bochev P, Gunzburger M, Shadid J. A Taxonomy of Consistently Stabilized Finite Element Methods for the Stokes Problem Siam Journal On Scientific Computing. 25: 1585-1607. DOI: 10.1137/S1064827502407718 |
0.472 |
|
| 2004 |
Bochev P, Gunzburger M. An Absolutely Stable Pressure-Poisson Stabilized Finite Element Method for the Stokes Equations Siam Journal On Numerical Analysis. 42: 1189-1207. DOI: 10.1137/S0036142903416547 |
0.512 |
|
| 2004 |
Bochev PB, Gunzburger MD, Shadid JN. Stability of the SUPG finite element method for transient advection-diffusion problems Computer Methods in Applied Mechanics and Engineering. 193: 2301-2323. DOI: 10.1016/J.Cma.2004.01.026 |
0.529 |
|
| 2004 |
Bochev PB, Gunzburger MD, Shadid JN. On inf-sup stabilized finite element methods for transient problems Computer Methods in Applied Mechanics and Engineering. 193: 1471-1489. DOI: 10.1016/J.Cma.2003.12.034 |
0.422 |
|
| 2004 |
Bochev P, Gunzburger MD. Least-squares finite-element methods for optimization and control problems for the stokes equations Computers and Mathematics With Applications. 48: 1035-1057. DOI: 10.1016/J.Camwa.2004.10.004 |
0.59 |
|
| 2004 |
Bochev PB, Dohrmann CR. Stabilized finite element methods for the stokes problem based on polynomial pressure projections Eccomas 2004 - European Congress On Computational Methods in Applied Sciences and Engineering. DOI: 10.1002/Fld.752 |
0.575 |
|
| 2004 |
Dohrmann CR, Bochev PB. A stabilized finite elements method for the Stokes problem based on polynomial pressure projections International Journal For Numerical Methods in Fluids. 46: 183-201. DOI: 10.1002/fld.752 |
0.494 |
|
| 2004 |
Bochev PB, Gunzburger MD, Lehoucq RB. On stabilized finite element methods for transient problems with varying time scales Eccomas 2004 - European Congress On Computational Methods in Applied Sciences and Engineering. |
0.357 |
|
| 2003 |
Bochev PB, Garasi CJ, Hu JJ, Robinson AC, Tuminaro RS. An improved algebraic multigrid method for solving Maxwell's equations Siam Journal On Scientific Computing. 25: 623-642. DOI: 10.1137/S1064827502407706 |
0.43 |
|
| 2003 |
Bochev PB, Hu JJ, Robinson AC, Tuminaro RS. Towards robust 3D Z-pinch simulations: Discretization and fast solvers for magnetic diffusion in heterogeneous conductors Electronic Transactions On Numerical Analysis. 15: 186-210. |
0.329 |
|
| 2001 |
Bochev PB, Choi J. A comparative study of least-squares, SUPG and Galerkin methods for convection problems International Journal of Computational Fluid Dynamics. 15: 127-146. DOI: 10.1080/10618560108970023 |
0.591 |
|
| 1999 |
Bochev P, Manteuffel TA, McCormick SF. Analysis of velocity-flux least-squares principles for the Navier-Stokes equations: Part II Siam Journal On Numerical Analysis. 36: 1125-1144. DOI: 10.1137/S0036142997324976 |
0.423 |
|
| 1999 |
Bochev PB. Negative norm least‐squares methods for the velocity‐vorticity‐pressure Navier–Stokes equations Numerical Methods For Partial Differential Equations. 15: 237-256. DOI: 10.1002/(Sici)1098-2426(199903)15:2<237::Aid-Num7>3.0.Co;2-R |
0.543 |
|
| 1999 |
Bochev PB. Negative norm least-squares methods for the velocity-vorticity-pressure Navier-Stokes equations Numerical Methods For Partial Differential Equations. 15: 237-256. |
0.485 |
|
| 1998 |
Bochev PB, Gunzburger MD. Finite element methods of least-squares type Siam Review. 40: 789-837. DOI: 10.1137/S0036144597321156 |
0.629 |
|
| 1998 |
Bochev P, Cai Z, Manteuffel TA, Mccormick SF. Analysis of velocity-flux first-order system least-squares principles for the navier-stokes equations: Part I Siam Journal On Numerical Analysis. 35: 990-1009. DOI: 10.1137/S0036142996313592 |
0.463 |
|
| 1997 |
Bochev PB. Analysis of least-squares finite element methods for the navier-stokes equations Siam Journal On Numerical Analysis. 34: 1817-1844. DOI: 10.1137/S0036142994276001 |
0.603 |
|
| 1997 |
Bochev PB, Bedivan DM. Least-squares methods for Navier-Stokes boundary control problems International Journal of Computational Fluid Dynamics. 9: 43-58. DOI: 10.1080/10618569808940839 |
0.492 |
|
| 1997 |
Bochev P. Least-squares methods for optimal control Nonlinear Analysis-Theory Methods & Applications. 30: 1875-1885. DOI: 10.1016/S0362-546X(97)00152-1 |
0.534 |
|
| 1996 |
Bochev P, Liao G, Pena Gd. Analysis and computation of adaptive moving grids by deformation Numerical Methods For Partial Differential Equations. 12: 489-506. DOI: 10.1002/(Sici)1098-2426(199607)12:4<489::Aid-Num5>3.0.Co;2-I |
0.46 |
|
| 1995 |
Bochev PB, Gunzburger MD. Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations Computer Methods in Applied Mechanics and Engineering. 126: 267-287. DOI: 10.1016/0045-7825(95)00826-M |
0.591 |
|
| 1994 |
Bochev PB, Gunzburger MD. Analysis of least squares finite element methods for the stokes equations Mathematics of Computation. 63: 479-506. DOI: 10.2307/2153280 |
0.58 |
|
| 1994 |
Bochev PB, Scovel C. On quadratic invariants and symplectic structure Bit. 34: 337-345. DOI: 10.1007/BF01935643 |
0.321 |
|
| 1993 |
Bochev PB, Gunzburger MD. A least-squares finite element method for the Navier-Stokes equations Applied Mathematics Letters. 6: 27-30. DOI: 10.1016/0893-9659(93)90007-A |
0.59 |
|
| 1993 |
Bochev PB, Gunzburger MD. Accuracy of least-squares methods for the Navier-Stokes equations Computers and Fluids. 22: 549-563. DOI: 10.1016/0045-7930(93)90025-5 |
0.546 |
|
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