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  • Comparative Studies on Mesh-Free Deep Neural Network Approach Versus Finite Element Method for Solving Coupled Nonlinear Hyperbolic/Wave Equations

    Xingwen Zhu, Mingyan He, Pengtao Sun
    2022-08-22
    297227 2787 Pages:603-629
  • Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics

    Pelin G. Geredeli, Carson Givens, Ahmed Zytoon
    2023-03-30
    29428 2545 Pages:329-352
  • Weak Galerkin Finite Element Methods on Polytopal Meshes

    Lin Mu, Junping Wang & Xiu Ye
    2015-12-01
    34337 4584 Pages:31-53
  • An Energy-Dissipation Finite Element Pressure-Correction Scheme for the Hydrodynamics of Smectic-A Liquid Crystals

    Panpan Guo, Guang-An Zou, Min Zhang
    2025-05-26
    7644 439 Pages:637-670
  • A Difference Finite Element Method for Convection-Diffusion Equations in Cylindrical Domains

    Chenhong Shi, Yinnian He, Dongwoo Sheen, Xinlong Feng
    2024-05-20
    20361 1482 Pages:407-430
  • Continuous/Discontinuous Finite Element Approximation of a 2d Navier-Stokes Problem Arising in Fluid Confinement

    Hermenegildo Borges De Oliveira, Nuno David Lopes
    2024-05-20
    21569 1634 Pages:315-352
  • Mixed FEM of Higher Order for Contact Problems with Friction

    A. Schröder, H. Blum, A. Rademacher, H. Kleemann
    2011-08-01
    32735 2593 Pages:302-323
  • New Developments on the Coupling of Mixed-FEM and BEM for the Three-Dimensional Exterior Stokes Problem

    G. N. Gatica, G. C. Hsiao, S. Meddahi & F. J. Sayas
    2016-05-03
    31583 2583 Pages:457-492
  • A New Method for Simultaneously Reconstructing the Space-Time Dependent Robin Coefficient and Heat Flux in a Parabolic System

    Talaat Abdelhamid, Xiaomao Deng & Rongliang Chen
    2017-10-03
    31698 2554 Pages:893-915
  • A New Method for Simultaneously Reconstructing the Space-Time Dependent Robin Coefficient and Heat Flux in a Parabolic System

    Talaat Abdelhamid, Xiaomao Deng, Rongliang Chen
    2018-08-15
    129 49 Pages:428-451
  • Efficient Galerkin-Mixed FEMs for Incompressible Miscible Flow in Porous Media

    Weiwei Sun, Chengda Wu
    2020-05-20
    35141 2661 Pages:350-367
  • Convergence of Adaptive FEM for Some Elliptic Obstacle Problem with Inhomogeneous Dirichlet Data

    M. Feischl, M. Page & D. Praetorius
    2021-10-20
    33180 3764 Pages:229-253
  • A Posteriori Error Analysis for FEM of Thermistor Problems

    Walter Allegretto, Ningning Yan
    2006-03-01
    30282 2535 Pages:413-436
  • Weighted $L^2$-Norm a Posteriori Error Estimation of FEM in Polygons

    Thomas P. Wihler
    2007-04-01
    32373 3969 Pages:100-115
  • Reduced-Order Modeling of Burgers Equations Based on Centroidal Voronoi Tessellation

    Hyung-Chun Lee, Sung-Whan Lee, Guang-Ri Piao
    2021-11-09
    31261 2370 Pages:559-583
  • Discrete Maximum Principles for FEM Solutions of Some Nonlinear Elliptic Interface Problems

    J. Karátson, S. Korotov
    2009-06-01
    31344 3630 Pages:1-16
  • A Posteriori Error Estimation for a Singularly Perturbed Problem with Two Small Parameters

    T. Linss
    2010-07-01
    32753 2509 Pages:491-506
  • A Posteriori Error Estimates of $hp$-FEM for Optimal Control Problems

    W. Gong, W. Liu & N. Yan
    2018-08-15
    32413 3528 Pages:48-69
  • Uniform Convergence of a Coupled Method for Convection-Diffusion Problems in 2-D Shishkin Mesh

    P. Zhu, Z. Xie & S. Zhou
    2013-10-01
    32689 2538 Pages:845-859
  • An Error Estimate of the Coupled Finite-Infinite Element Method for Scattering from an Arc

    W. Sun, & F. Ma
    2014-11-01
    32883 2638 Pages:841-853
  • The Time Second-Order Characteristic FEM for Nonlinear Multicomponent Aerosol Dynamic Equations in Environment

    Kai Fu, Dong Liang, Wenqia Wang & Ming Cui
    2015-12-01
    34229 2621 Pages:211-229
  • Nonconforming Finite Volume Methods for Second Order Elliptic Boundary Value Problems

    Yuanyuan Zhang & Zhongying Cheng
    2017-06-01
    32429 2684 Pages:381-404
  • The Interpolated Coefficient FEM and Its Application in Computing the Multiple Solutions of Semilinear Elliptic Problems

    Z. Xie & C. Chen
    2005-04-03
    32125 3916 Pages:97-106
  • A Time Second-Order Characteristic Finite Element Method for Nonlinear Advection-Diffusion Equations

    Baohui Hou, Dong Liang
    2019-02-22
    36046 2702 Pages:276-296
  • FEM-Analysis on Graded Meshes for Turning Point Problems Exhibiting an Interior Layer

    Simon Becher
    2018-11-22
    33548 2685 Pages:499-518
  • A Linearized, Decoupled and Unconditionally Stable BDF2 FEM for the Active Fluid Model

    Yuxing Zhang, Bo Wang
    2024-11-22
    13436 1218 Pages:40-70
  • Well-Posedness and the Multiscale Algorithm for Heterogeneous Scattering of Maxwell's Equations in Dispersive Media

    Yongwei Zhang, Liqun Cao, Dongyang Shi
    2021-03-24
    32218 2607 Pages:235-264
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