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  • Analysis of an Augmented Fully-Mixed Finite Element Method for a Three-Dimensional Fluid-Solid Interaction Problem

    G. N. Gatica, A. Marquez, S. Meddahi
    2014-11-01
    33104 2621 pp. 624-656
  • Numerical Modeling of a Dual Variational Inequality of Unilateral Contact Problems Using the Mixed Finite Element Method

    G. Wang & X. Yang
    2009-06-01
    31375 3702 pp. 161-176
  • Analysis of the [$L^2$, $L^2$, $L^2$] Least-Squares Finite Element Method for Incompressible Oseen-Type Problems

    C. L. Chang & S.-Y. Yang
    2021-11-09
    31022 2419 pp. 402-424
  • A Posteriori Error Analysis of an Augmented Dual-Mixed Method in Linear Elasticity with Mixed Boundary Conditions

    Tom\u00e1s P. Barrios, Edwin M. Behrens, Mar\u00eda Gonz\u00e1lez
    2019-08-09
    33829 2650 pp. 804-824
  • Numerical Analysis of a Structure-Preserving Space-Discretization for an Anisotropic and Heterogeneous Boundary Controlled $N$-Dimensional Wave Equation as a Port-Hamiltonian System

    Ghislain Haine, Denis Matignon, Anass Serhani
    2022-11-28
    DOI:10.4208/ijnam2023-1005
    292706 3163 pp. 92-133
  • Weak Galerkin Method for the Helmholtz Equation with DtN Boundary Condition

    Qingjie Hu, Yinnian He, Kun Wang
    2020-08-04
    35286 2636 pp. 643-661
  • The Singularity-Separated Method for the Singular Perturbation Problems in 1-D

    Chuanmiao Chen, Jing Yang
    2018-08-14
    33480 3931 pp. 102-110
  • Finite Element Method to Control the Domain Singularities of Poisson Equation Using the Stress Intensity Factor: Mixed Boundary Condition

    Seokchan Kim & Hyung-Chun Lee
    2018-09-18
    33228 2528 pp. 500-510
  • A Posteriori Error Analysis for an Ultra-Weak Discontinuous Galerkin Approximations of Nonlinear Second-Order Two-Point Boundary-Value Problems

    Mahboub Baccouch
    2023-09-19
    DOI:10.4208/ijnam2023-1027
    24631 2155 pp. 618-646
  • A Numerical Analysis of the Coupled Cahn-Hilliard/Allen-Cahn System with Dynamic Boundary Conditions

    Ahmad Makki, Alain Miranville, Madalina Petcu
    2022-08-22
    297299 2742 pp. 630-655
  • Isogeometric Solution of Helmholtz Equation with Dirichlet Boundary Condition in Regions with Irregular Boundary: Numerical Experiences

    Victoria Hernández Mederos, Isidro Abellό Ugalde, Rolando M. Bruno Alfonso, Domenico Lahaye, Valia Guerra Ones
    2022-11-28
    DOI:10.4208/ijnam2023-1001
    294033 3338 pp. 1-28
  • Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics

    Pelin G. Geredeli, Carson Givens, Ahmed Zytoon
    2023-03-30
    DOI:10.4208/ijnam2023-1013
    29644 2599 pp. 329-352
  • Fitted Front Tracking Methods for Two-Phase Incompressible Navier–Stokes Flow: Eulerian and ALE Finite Element Discretizations

    Marco Agnese, Robert Nürnberg
    2020-08-04
    35815 2691 pp. 613-642
  • Error Analysis of an Immersed Finite Element Method for Time-Dependent Beam Interface Problems

    Min Lin
    2019-02-21
    34471 2677 pp. 626-646
  • Analysis of a Fully Discrete Finite Element Method for the Maxwell–Schrödinger System in the Coulomb Gauge

    Chupeng Ma, Liqun Cao, Jizu Huang
    2018-10-19
    34741 4017 pp. 139-166
  • A Parallel Variational Multiscale Method for Incompressible Flows Based on the Partition of Unity

    Cong Xie, Haibiao Zheng
    2014-11-01
    32967 2665 pp. 854-865
  • $hp$-Version Interior Penalty Discontinuous Galerkin Finite Element Methods on Anisotropic Meshes

    Emmanuil H. Georgoulis
    2006-03-01
    31205 3894 pp. 52-79
  • 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
    32436 2665 pp. 235-264
  • Using $p$-Refinement to Increase Boundary Derivative Convergence Rates

    David Wells, Jeffrey Banks
    2019-08-09
    34657 4211 pp. 891-924 Open Access
  • Asymptotically Exact a Posteriori Error Estimates for the Local Discontinuous Galerkin Method for Nonlinear KdV Equations in One Space Dimension

    Mahboub Baccouch
    2020-10-27
    36812 2711 pp. 767-793
  • Numerical Investigation on Weak Galerkin Finite Elements

    Junping Wang, Xiu Ye, Shangyou Zhang
    2020-08-04
    33121 2694 pp. 517-531
  • A Study on Phase-Field Models for Brittle Fracture

    Fei Zhang, Weizhang Huang, Xianping Li, Shicheng Zhang
    2022-09-27
    37857 2951 pp. 793-821
  • Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation

    Bryce Chudomelka, Youngjoon Hong, John Morgan, Hyunwoo Kim, Jinyoung Park
    2024-10-08
    DOI:10.4208/ijnam2024-1026
    13073 1094 pp. 652-673
  • 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
    DOI:10.4208/ijnam2024-1013
    21808 1703 pp. 315-352
  • Asymptotically Exact Local Discontinuous Galerkin Error Estimates for the Linearized Korteweg-de Vries Equation in One Space Dimension

    Mahboub Baccouch
    2015-12-01
    33623 4035 pp. 162-195
  • Convergence Analysis of Finite Element Solution of One-Dimensional Singularly Perturbed Differential Equations on Equidistributing Meshes

    Weizhang Huang
    2005-04-03
    32438 3819 pp. 57-74
  • Using Reduced Meshes for Simulation of the Localization of Small Electromagnetic Inhomogeneities in a 3D Bounded Domain

    M. Asch, S. M. Mefire
    2009-06-01
    31488 3837 pp. 50-88
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