Zhilin Li - Publications

Affiliations: 
Applied Mathematics North Carolina State University, Raleigh, NC 
Area:
Applied Mathematics

94 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
2021 Huang P, Li Z. Partially penalized IFE methods and convergence analysis for elasticity interface problems Journal of Computational and Applied Mathematics. 382: 113059. DOI: 10.1016/J.Cam.2020.113059  0.476
2020 Tong F, Wang W, Feng X, Zhao J, Li Z. How to obtain an accurate gradient for interface problems Journal of Computational Physics. 405: 109070. DOI: 10.1016/J.Jcp.2019.109070  0.477
2019 Xiao X, Feng X, Li Z. A gradient recovery–based adaptive finite element method for convection‐diffusion‐reaction equations on surfaces International Journal For Numerical Methods in Engineering. 120: 901-917. DOI: 10.1002/Nme.6163  0.44
2018 Li Z. FROM IIM TO AUGMENTED IIM: A POWERFUL TOOL FOR COMPLEX PROBLEMS USING CARTESIAN MESHES Advanced Calculation and Analysis. 3: 1-6. DOI: 10.21065/2520-596x/3.1  0.439
2018 Li Z, Chen X, Zhang Z. On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient Multiscale Modeling & Simulation. 16: 1623-1647. DOI: 10.1137/17M1151985  0.417
2018 Chen X, Li Z, Álvarez JR. A direct IIM approach for two-phase Stokes equations with discontinuous viscosity on staggered grids Computers & Fluids. 172: 549-563. DOI: 10.1016/J.Compfluid.2018.03.038  0.5
2018 Li Z, Lai M, Peng X, Zhang Z. A least squares augmented immersed interface method for solving Navier–Stokes and Darcy coupling equations Computers & Fluids. 167: 384-399. DOI: 10.1016/J.Compfluid.2018.03.032  0.5
2018 Ji H, Chen J, Li Z. A high-order source removal finite element method for a class of elliptic interface problems Applied Numerical Mathematics. 130: 112-130. DOI: 10.1016/J.Apnum.2018.03.017  0.505
2018 Hu R, Li Z. Error analysis of the immersed interface method for Stokes equations with an interface Applied Mathematics Letters. 83: 207-211. DOI: 10.1016/J.Aml.2018.03.034  0.452
2018 Chen X, Feng X, Li Z. A direct method for accurate solution and gradient computations for elliptic interface problems Numerical Algorithms. 80: 709-740. DOI: 10.1007/S11075-018-0503-5  0.487
2017 Li Z, Ji H, Chen X. ACCURATE SOLUTION AND GRADIENT COMPUTATION FOR ELLIPTIC INTERFACE PROBLEMS WITH VARIABLE COEFFICIENTS. Siam Journal On Numerical Analysis. 55: 570-597. PMID 28983130 DOI: 10.1137/15M1040244  0.518
2017 Huang P, Li Z. A Uniformly Stable Nonconforming FEM Based on Weighted Interior Penalties for Darcy-Stokes-Brinkman Equations Numerical Mathematics: Theory, Methods and Applications. 10: 22-43. DOI: 10.4208/Nmtma.2017.M1610  0.481
2017 Yan J, Lai M, Li Z, Zhang Z. New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation Advances in Applied Mathematics and Mechanics. 9: 250-271. DOI: 10.4208/Aamm.2014.M888  0.358
2017 Qin F, Wang Z, Ma Z, Li Z. Accurate gradient computations at interfaces using finite element methods International Journal of Applied Mathematics and Computer Science. 27: 527-537. DOI: 10.1515/Amcs-2017-0037  0.493
2017 Qin F, Chen J, Li Z, Cai M. A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems Computers & Mathematics With Applications. 73: 404-418. DOI: 10.1016/J.Camwa.2016.11.033  0.495
2017 Amat S, Li Z, Ruiz J. On an New Algorithm for Function Approximation with Full Accuracy in the Presence of Discontinuities Based on the Immersed Interface Method Journal of Scientific Computing. 75: 1500-1534. DOI: 10.1007/S10915-017-0596-3  0.305
2017 Li Z, Qin F. An Augmented Method for 4th Order PDEs with Discontinuous Coefficients Journal of Scientific Computing. 73: 968-979. DOI: 10.1007/S10915-017-0487-7  0.544
2016 Su X, Feng X, Li Z. Fourth-Order Compact Schemes for Helmholtz Equations with Piecewise Wave Numbers in the Polar Coordinates Journal of Computational Mathematics. 34: 499-510. DOI: 10.4208/Jcm.1604-M2015-0290  0.315
2016 Ji H, Chen J, Li Z. Augmented immersed finite element methods for some elliptic partial differential equations International Journal of Computer Mathematics. 93: 540-558. DOI: 10.1080/00207160.2015.1005010  0.541
2016 Ji H, Chen J, Li Z. A new augmented immersed finite element method without using SVD interpolations Numerical Algorithms. 71: 395-416. DOI: 10.1007/S11075-015-9999-0  0.538
2015 Li Z, Xiao L, Cai Q, Zhao H, Luo R. A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions. Journal of Computational Physics. 297: 182-193. PMID 27087702 DOI: 10.1016/J.Jcp.2015.05.003  0.52
2015 Li Z, Wang L, Aspinwall E, Cooper R, Kuberry P, Sanders A, Zeng K. Some new analysis results for a class of interface problems. Mathematical Methods in the Applied Sciences. 38: 4530-4539. PMID 26819486 DOI: 10.1002/Mma.2865  0.494
2015 Xia J, Li Z, Ye X. Effective matrix-free preconditioning for the augmented immersed interface method Journal of Computational Physics. 303: 295-312. DOI: 10.1016/J.Jcp.2015.09.050  0.429
2015 Zhang Q, Ito K, Li Z, Zhang Z. Immersed finite elements for optimal control problems of elliptic PDEs with interfaces Journal of Computational Physics. 298: 305-319. DOI: 10.1016/J.Jcp.2015.05.050  0.464
2015 Zhu L, Zhang Z, Li Z. An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions Computers & Mathematics With Applications. 70: 89-103. DOI: 10.1016/J.Camwa.2015.04.012  0.473
2015 Ruiz Álvarez J, Li Z. The immersed interface method for axis-symmetric problems and application to the Hele–Shaw flow Applied Mathematics and Computation. 264: 179-197. DOI: 10.1016/J.Amc.2015.03.131  0.51
2015 Zhang Q, Li Z, Zhang Z. A Sparse Grid Stochastic Collocation Method for Elliptic Interface Problems with Random Input Journal of Scientific Computing. 67: 262-280. DOI: 10.1007/S10915-015-0080-X  0.462
2015 Li Z. An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions International Journal For Numerical Methods in Engineering. 106: 556-575. DOI: 10.1002/Nme.5131  0.492
2014 Wang Z, Li Z, Lubkin S. A Robin-Robin Domain Decomposition Method for a Stokes-Darcy Structure Interaction with a Locally Modified Mesh. Numerical Mathematics (Hong Kong, China). 7: 435-446. PMID 28983165  0.317
2014 Xiao L, Cai Q, Li Z, Zhao H, Luo R. A Multi-Scale Method for Dynamics Simulation in Continuum Solvent Models I: Finite-Difference Algorithm for Navier-Stokes Equation. Chemical Physics Letters. 616: 67-74. PMID 25404761 DOI: 10.1016/J.Cplett.2014.10.033  0.363
2014 Wang Z, Li Z, Lubkin S. A Robin-Robin domain decomposition method for a stokes-darcy structure interaction with a locally modified mesh Numerical Mathematics. 7: 435-446. DOI: 10.4208/Nmtma.2014.1305Si  0.423
2014 Xu JJ, Huang Y, Lai MC, Li Z. A coupled immersed interface and level set method for three-dimensional interfacial flows with insoluble surfactant Communications in Computational Physics. 15: 451-469. DOI: 10.4208/Cicp.241012.310513A  0.483
2014 Li Z. On convergence of the immersed boundary method for elliptic interface problems Mathematics of Computation. 84: 1169-1188. DOI: 10.1090/S0025-5718-2014-02932-3  0.508
2014 Zeng Y, Chen J, Li Z. A parallel Robin–Robin domain decomposition method for H(div)-elliptic problems International Journal of Computer Mathematics. 92: 394-410. DOI: 10.1080/00207160.2014.892587  0.444
2014 Ji H, Chen J, Li Z. A Symmetric and Consistent Immersed Finite Element Method for Interface Problems Journal of Scientific Computing. 61: 533-557. DOI: 10.1007/S10915-014-9837-X  0.434
2013 Wang C, Wang J, Cai Q, Li Z, Zhao HK, Luo R. Exploring accurate Poisson-Boltzmann methods for biomolecular simulations. Computational & Theoretical Chemistry. 1024: 34-44. PMID 24443709 DOI: 10.1016/J.Comptc.2013.09.021  0.465
2013 Li Z, Song P. Adaptive mesh refinement techniques for the immersed interface method applied to flow problems. Computers & Structures. 122: 249-258. PMID 23794763 DOI: 10.1016/J.Compstruc.2013.03.013  0.477
2013 Liu X, Wang C, Wang J, Li Z, Zhao H, Luo R. Exploring a charge-central strategy in the solution of Poisson's equation for biomolecular applications. Physical Chemistry Chemical Physics : Pccp. 15: 129-41. PMID 23147243 DOI: 10.1039/C2Cp41894K  0.464
2013 Wang Q, Zhang Z, Li Z. A Fourier finite volume element method for solving two-dimensional quasi-geostrophic equations on a sphere Applied Numerical Mathematics. 71: 1-13. DOI: 10.1016/J.Apnum.2013.03.007  0.498
2012 Ito K, Li Z, Qiao Z. The Sensitivity Analysis for the Flow Past Obstacles Problem with Respect to the Reynolds Number. Advances in Applied Mathematics and Mechanics. 4: 21-35. PMID 24910780 DOI: 10.4208/Aamm.11-M1110  0.448
2012 Hou S, Li Z, Wang L, Wang W. A Numerical Method for Solving Elasticity Equations with Interfaces. Communications in Computational Physics. 12: 595-612. PMID 22707984 DOI: 10.4208/Cicp.160910.130711S  0.548
2012 Wan X, Li Z. SOME NEW FINITE DIFFERENCE METHODS FOR HELMHOLTZ EQUATIONS ON IRREGULAR DOMAINS OR WITH INTERFACES. Discrete and Continuous Dynamical Systems. Series B. 17: 1155-1174. PMID 22701346 DOI: 10.3934/Dcdsb.2012.17.1155  0.655
2012 Li Z, Song P. An Adaptive Mesh Refinement Strategy for Immersed Boundary/Interface Methods. Communications in Computational Physics. 12: 515-527. PMID 22670155 DOI: 10.4208/Cicp.070211.150811S  0.513
2012 Hao J, Li Z, Lubkin SR. AN AUGMENTED IMMERSED INTERFACE METHOD FOR MOVING STRUCTURES WITH MASS. Discrete and Continuous Dynamical Systems. Series B. 17: 1175-1184. PMID 22639553 DOI: 10.3934/Dcdsb.2012.17.1175  0.426
2012 Caraus I, Li Z. Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Hölder Spaces Advances in Applied Mathematics and Mechanics. 4: 737-750. DOI: 10.1017/S2070073300001843  0.461
2011 Xie H, Li Z, Qiao Z. A FINITE ELEMENT METHOD FOR ELASTICITY INTERFACE PROBLEMS WITH LOCALLY MODIFIED TRIANGULATIONS. International Journal of Numerical Analysis and Modeling. 8: 189-200. PMID 24058368  0.353
2011 Li Z, Lai MC. New Finite Difference Methods Based on IIM for Inextensible Interfaces in Incompressible Flows. East Asian Journal On Applied Mathematics. 1: 155-171. PMID 23795308 DOI: 10.4208/Eajam.030510.250910A  0.529
2011 Xu J, Li Z, Lowengrub J, Zhao H. Numerical Study of Surfactant-Laden Drop-Drop Interactions Communications in Computational Physics. 10: 453-473. DOI: 10.4208/Cicp.090310.020610A  0.341
2010 Li Z, Lai M, He G, Zhao H. An augmented method for free boundary problems with moving contact lines Computers & Fluids. 39: 1033-1040. DOI: 10.1016/J.Compfluid.2010.01.013  0.487
2010 Ruiz Álvarez J, Chen J, Li Z. The IIM in polar coordinates and its application to electro capacitance tomography problems Numerical Algorithms. 57: 405-423. DOI: 10.1007/S11075-010-9436-3  0.442
2010 Feng X, Li Z. Simplified immersed interface methods for elliptic interface problems with straight interfaces Numerical Methods For Partial Differential Equations. 28: 188-203. DOI: 10.1002/Num.20614  0.419
2009 Wang J, Cai Q, Li ZL, Zhao HK, Luo R. Achieving Energy Conservation in Poisson-Boltzmann Molecular Dynamics: Accuracy and Precision with Finite-Difference Algorithms. Chemical Physics Letters. 468: 112-118. PMID 20098487 DOI: 10.1016/J.Cplett.2008.12.049  0.399
2009 Yang X, Zhang X, Li Z, He G. A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations Journal of Computational Physics. 228: 7821-7836. DOI: 10.1016/J.Jcp.2009.07.023  0.414
2009 Ito K, Lai M, Li Z. A well-conditioned augmented system for solving Navier–Stokes equations in irregular domains Journal of Computational Physics. 228: 2616-2628. DOI: 10.1016/J.Jcp.2008.12.028  0.489
2009 Wang F, Chen J, Xu W, Li Z. An additive Schwarz preconditioner for the mortar-type rotated FEM for elliptic problems with discontinuous coefficients Applied Numerical Mathematics. 59: 1657-1667. DOI: 10.1016/J.Apnum.2008.11.006  0.461
2008 Wan X, Li Z, Lubkin SR. Mechanics of mesenchymal contribution to clefting force in branching morphogenesis. Biomechanics and Modeling in Mechanobiology. 7: 417-26. PMID 17901991 DOI: 10.1007/S10237-007-0105-Y  0.489
2008 Beale JT, Chopp D, LeVeque R, Li Z. Correction to the article ``A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources'' by Vaughan et al. Communications in Applied Mathematics and Computational Science. 3: 95-101. DOI: 10.2140/camcos.2008.3.95  0.324
2008 Gong Y, Li B, Li Z. Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions Siam Journal On Numerical Analysis. 46: 472-495. DOI: 10.1137/060666482  0.582
2008 Tan Z, Le D, Li Z, Lim K, Khoo B. An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane Journal of Computational Physics. 227: 9955-9983. DOI: 10.1016/J.Jcp.2008.08.013  0.434
2008 Rutka V, Li Z. An explicit jump immersed interface method for two-phase Navier–Stokes equations with interfaces Computer Methods in Applied Mechanics and Engineering. 197: 2317-2328. DOI: 10.1016/J.Cma.2007.12.016  0.515
2007 Li Z, Ito K, Lai M. An augmented approach for Stokes equations with a discontinuous viscosity and singular forces Computers & Fluids. 36: 622-635. DOI: 10.1016/J.Compfluid.2006.03.003  0.531
2007 Chen G, Li Z, Lin P. A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow Advances in Computational Mathematics. 29: 113-133. DOI: 10.1007/S10444-007-9043-6  0.583
2007 Li Z, Lai M, Ito K. An immersed interface method for the Navier-Stokes equations on irregular domains Pamm. 7: 1025401-1025402. DOI: 10.1002/Pamm.200700758  0.494
2006 Ito K, Li Z, Wan X. Pressure Jump Conditions for Stokes Equations with Discontinuous Viscosity in 2D and 3D Methods and Applications of Analysis. 13: 199-214. DOI: 10.4310/Maa.2006.V13.N2.A6  0.511
2006 Xu J, Li Z, Lowengrub J, Zhao H. A level-set method for interfacial flows with surfactant Journal of Computational Physics. 212: 590-616. DOI: 10.1016/J.Jcp.2005.07.016  0.505
2006 Lai M, Li Z, Lin X. Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain Journal of Computational and Applied Mathematics. 191: 106-125. DOI: 10.1016/J.Cam.2005.04.025  0.479
2006 Ito K, Li Z. Interface conditions for Stokes equations with a discontinuous viscosity and surface sources Applied Mathematics Letters. 19: 229-234. DOI: 10.1016/J.Aml.2005.02.041  0.487
2005 Ito K, Li Z, Kyei Y. Higher-order, cartesian grid based finite difference schemes for elliptic equations on irregular domains Siam Journal On Scientific Computing. 27: 346-367. DOI: 10.1137/03060120X  0.526
2005 Li Z, Pao CV, Qiao Z. A Finite Difference Method and Analysis for 2D Nonlinear Poisson–Boltzmann Equations Journal of Scientific Computing. 30: 61-81. DOI: 10.1007/S10915-005-9019-Y  0.51
2004 Zolotarevskii VA, Li Z, Caraus I. Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials Differential Equations. 40: 1764-1769. DOI: 10.1007/S10625-005-0108-3  0.375
2004 Li Z, Lin T, Lin Y, Rogers RC. An immersed finite element space and its approximation capability Numerical Methods For Partial Differential Equations. 20: 338-367. DOI: 10.1002/Num.10092  0.407
2003 Li Z, Lin X, Torres M, Zhao H. Generalized Snell's Law for Weighted Minimal Surface in Heterogeneous Media Methods and Applications of Analysis. 10: 199-214. DOI: 10.4310/Maa.2003.V10.N2.A3  0.346
2003 Li Z, Wang C. A Fast Finite Differenc Method For Solving Navier-Stokes Equations on Irregular Domains Communications in Mathematical Sciences. 1: 180-196. DOI: 10.4310/CMS.2003.v1.n1.a11  0.37
2003 Li Z. AN OVERVIEW OF THE IMMERSED INTERFACE METHOD AND ITS APPLICATIONS Taiwanese Journal of Mathematics. 7: 1-49. DOI: 10.11650/Twjm/1500407515  0.485
2003 Li Z, Wang W, Chern I, Lai M. New Formulations for Interface Problems in Polar Coordinates Siam Journal On Scientific Computing. 25: 224-245. DOI: 10.1137/S106482750139618X  0.48
2003 Ito K, Li Z. Journal of Scientific Computing. 19: 253-266. DOI: 10.1023/A:1025356025745  0.475
2003 Deng S, Ito K, Li Z. Three-dimensional elliptic solvers for interface problems and applications Journal of Computational Physics. 184: 215-243. DOI: 10.1016/S0021-9991(02)00028-1  0.518
2003 Li Z, Lin T, Wu X. New Cartesian grid methods for interface problems using the finite element formulation Numerische Mathematik. 96: 61-98. DOI: 10.1007/S00211-003-0473-X  0.483
2002 Adams L, Li Z. The Immersed Interface/Multigrid Methods for Interface Problems Siam Journal On Scientific Computing. 24: 463-479. DOI: 10.1137/S1064827501389849  0.499
2002 Hunter JK, Li Z, Zhao H. Reactive autophobic spreading of drops Journal of Computational Physics. 183: 335-366. DOI: 10.1006/Jcph.2002.7168  0.453
2001 Li Z, Ito K. Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients Siam Journal On Scientific Computing. 23: 339-361. DOI: 10.1137/S1064827500370160  0.51
2001 Ito K, Kunisch K, Li Z. Level-set function approach to an inverse interface problem Inverse Problems. 17: 1225-1242. DOI: 10.1088/0266-5611/17/5/301  0.433
2001 Lai M, Li Z. A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane Applied Mathematics Letters. 14: 149-154. DOI: 10.1016/S0893-9659(00)00127-0  0.443
2001 Li Z, Lai M. The Immersed Interface Method for the Navier–Stokes Equations with Singular Forces Journal of Computational Physics. 171: 822-842. DOI: 10.1006/Jcph.2001.6813  0.532
2001 Li Z, Lubkin SR. Numerical analysis of interfacial two-dimensional Stokes flow with discontinuous viscosity and variable surface tension International Journal For Numerical Methods in Fluids. 37: 525-540. DOI: 10.1002/Fld.185  0.447
1999 Ewing RE, Li Z, Lin T, Lin Y. The immersed finite volume element methods for the elliptic interface problems Mathematics and Computers in Simulation. 50: 63-76. DOI: 10.1016/S0378-4754(99)00061-0  0.468
1999 Li Z, Zhao H, Gao H. A Numerical Study of Electro-migration Voiding by Evolving Level Set Functions on a Fixed Cartesian Grid Journal of Computational Physics. 152: 281-304. DOI: 10.1006/Jcph.1999.6249  0.448
1998 Li Z. A Fast Iterative Algorithm for Elliptic Interface Problems Siam Journal On Numerical Analysis. 35: 230-254. DOI: 10.1137/S0036142995291329  0.48
1998 Li Z, Wang D, Zou J. Theoretical and numerical analysis on a thermo-elastic system with discontinuities Journal of Computational and Applied Mathematics. 92: 37-58. DOI: 10.1016/S0377-0427(98)00044-2  0.441
1998 Li Z. The immersed interface method using a finite element formulation Applied Numerical Mathematics. 27: 253-267. DOI: 10.1016/S0168-9274(98)00015-4  0.527
1997 Leveque RJ, Li Z. Immersed interface methods for Stokes flow with elastic boundaries or surface tension Siam Journal On Scientific Computing. 18: 709-735. DOI: 10.1137/S1064827595282532  0.525
1997 Hou TY, Li Z, Osher S, Zhao H. A Hybrid Method for Moving Interface Problems with Application to the Hele–Shaw Flow Journal of Computational Physics. 134: 236-252. DOI: 10.1006/Jcph.1997.5689  0.485
1996 Li Z. A note on immersed interface method for three-dimensional elliptic equations Computers & Mathematics With Applications. 31: 9-17. DOI: 10.1016/0898-1221(95)00202-2  0.361
1994 Leveque RJ, Li Z. Immersed interface method for elliptic equations with discontinuous coefficients and singular sources Siam Journal On Numerical Analysis. 31: 1019-1044. DOI: 10.1137/0731054  0.389
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