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  • Effective Two-Level Domain Decomposition Preconditioners for Elastic Crack Problems Modeled by Extended Finite Element Method

    Xingding Chen, Xiao-Chuan Cai
    2020-08-27
    49234 3140 Pages:1561-1584
  • Analysis of Local and Parallel Algorithm for Incompressible Magnetohydrodynamics Flows by Finite Element Iterative Method

    Qili Tang, Yunqing Huang
    2018-11-09
    46536 3527 Pages:729-751
  • A Numerical Analysis of the Weak Galerkin Method for the Helmholtz Equation with High Wave Number

    Yu Du, Zhimin Zhang
    2019-10-31
    41997 4911 Pages:133-156
  • A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains

    Yi Liu, Wenbin Chen, Yanqiu Wang
    2022-10-28
    46559 3355 Pages:1094-1128
  • Projected Finite Elements for Systems of Reaction-Diffusion Equations on Closed Evolving Spheroidal Surfaces

    Necibe Tuncer, Anotida Madzvamuse
    2018-04-09
    41147 3156 Pages:718-747
  • Multi-Mesh-Scale Approximation of Thin Geophysical Mass Flows on Complex Topographies

    Yih-Chin Tai, Jeaniffer Vides, Boniface Nkonga, Chih-Yu Kuo
    2020-11-26
    46618 4291 Pages:148-185
  • Enhancing Mesh-Based Photoacoustic Tomography with Parallel Computing on Multiprocessor Scheme

    Yao Sun, Zhen Yuan, Huaibei Jiang
    2018-09-17
    45785 3182 Pages:764-773
  • Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations

    M. J. Baines, M. E. Hubbard, P. K. Jimack
    2011-10-01
    40073 5037 Pages:509-576 Open-access
  • A Moving-Mesh Finite Element Method and Its Application to the Numerical Solution of Phase-Change Problems

    M. J. Baines, M. E. Hubbard, P. K. Jimack, R. Mahmood
    2009-06-01
    39120 3891 Pages:595-624
  • Energy Law Preserving Finite Element Scheme for the Cahn-Hilliard Equation with Dynamic Boundary Conditions

    Na Li, Ping Lin, Fuzheng Gao
    2019-08-27
    46617 4308 Pages:1490-1509
  • A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes

    Hengguang Li, Lin Mu, Xiu Ye
    2019-04-04
    46983 3379 Pages:558-578
  • New Superconvergent Structures with Optional Superconvergent Points for the Finite Volume Element Method

    Xiang Wang, Yuqing Zhang, Zhimin Zhang
    2023-06-06
    38909 2939 Pages:1332-1356
  • An Adaptive Finite Element Method with Hybrid Basis for Singularly Perturbed Nonlinear Eigenvalue Problems

    Ye Li
    2018-04-03
    41433 3260 Pages:442-472
  • Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

    Walter Boscheri, Michael Dumbser
    2013-11-05
    40598 3990 Pages:1174-1206
  • Non-Matching Grids for a Flexible Discretization in Computational Acoustics

    Bernd Flemisch, Manfred Kaltenbacher, Simon Triebenbacher, Barbara Wohlmuth
    2020-07-31
    40341 3958 Pages:472-488
  • A High-Order Central ENO Finite-Volume Scheme for Three-Dimensional Low-Speed Viscous Flows on Unstructured Mesh

    Marc R. J. Charest, Clinton P. T. Groth, Pierre Q. Gauthier
    2018-04-02
    37736 3129 Pages:615-656
  • Scalable Domain Decomposition Algorithms for Simulation of Flows Passing Full Size Wind Turbine

    Rongliang Chen, Zhengzheng Yan, Yubo Zhao, Xiao-Chuan Cai
    2018-09-17
    45233 3685 Pages:1503-1522
  • A Comparison of Fourier Spectral Iterative Perturbation Method and Finite Element Method in Solving Phase-Field Equilibrium Equations

    Pengcheng Song, Tiannan Yang, Yanzhou Ji, Zhuo Wang, Zhigang Yang, Longqing Chen, Lei Chen
    2018-04-09
    42379 3690 Pages:1325-1349
  • Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media

    Meiling Zhao, Jiahui He, Liqun Wang
    2023-09-04
    31735 2645 Pages:530-562
  • Mortar Finite Element Method for the Coupling of Time Dependent Navier-Stokes and Darcy Equations

    Xin Zhao, Chuanjun Chen
    2025-09-02
    10153 621 Pages:701-739
  • Parallel Mesh Refinement of Higher Order Finite Elements for Electronic Structure Calculations

    Dier Zhang, Aihui Zhou, Xin-Gao Gong
    2008-11-05
    36800 4143 Pages:1086-1105
  • The Geometry Behind Numerical Solvers of the Poisson-Boltzmann Equation

    Xinwei Shi, Patrice Koehl
    2008-03-01
    40434 4208 Pages:1032-1050
  • An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations

    G. Beckett, J. A. Mackenzie, M. L. Robertson
    2006-01-01
    39529 3964 Pages:805-826
  • Immersed Finite Element Method for Interface Problems with Algebraic Multigrid Solver

    Wenqiang Feng, Xiaoming He, Yanping Lin, Xu Zhang
    2020-07-31
    42384 4173 Pages:1045-1067
  • An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling

    Yang Xu, Xiaofei Chen, Wei Zhang, Xiao Pan
    2022-03-30
    54154 3230 Pages:1083-1113
  • Permanent Charge Effects on Ionic Flow: A Numerical Study of Flux Ratios and Their Bifurcation

    Weizhang Huang, Weishi Liu, Yufei Yu
    2021-05-25
    47612 3215 Pages:486-514
  • Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations

    Dongfang Li, Waixiang Cao, Chengjian Zhang, Zhimin Zhang
    2019-04-28
    48709 3389 Pages:838-854
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