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  • Convergence of Adaptive Edge Element Methods for the 3D Eddy Currents Equations

    R.H.W. Hoppe & J. Schöberl
    2018-08-07
    33680 3281 Pages:657-676
  • Efficient Spectral Methods for Eigenvalue Problems of the Integral Fractional Laplacian on a Ball of Any Dimension

    Suna Ma, Huiyuan Li, Zhimin Zhang, Hu Chen, Lizhen Chen
    2024-04-09
    26043 1920 Pages:1032-1062
  • Numerical Studies of 2D Free Surface Waves with Fixed Bottom

    Ping-Wen Zhang, Xiao-Ming Zheng
    2002-08-02
    33050 3429 Pages:391-412
  • Finite Element Analysis for a Class of System of Nonlinear and Non-Self-Adjoint Schrödinger Euqations

    Xin-Min Xiang, Jia-Dong Zheng
    2021-07-01
    32929 3599 Pages:293-306
  • Bioluminescence Tomography: Biomedical Background, Mathematical Theory, and Numerical Approximation

    Weimin Han & Ge Wang
    2018-08-07
    31767 3546 Pages:324-335
  • A Decoupled, Linearly Implicit and Unconditionally Energy Stable Scheme for the Coupled Cahn-Hilliard Systems

    Dan Zhao, Dongfang Li, Yanbin Tang, Jinming Wen
    2024-11-21
    15985 1485 Pages:708-730
  • Symplectic Schemes for Telegraph Equations

    Yi Lu, Yao-Lin Jiang
    2018-08-22
    36204 2961 Pages:285-299
  • A General High-Order Multi-Domain Hybrid DG/WENO-FD Method for Hyperbolic Conservation Laws

    Jian Cheng, Kun Wang, Tiegang Liu
    2018-08-22
    38693 4678 Pages:30-48
  • Numerical Solution of the Scattering Problem for Acoustic Waves by a Two-Sided Crack in 2-Dimensional Space

    J. J. Liu, P. A. Krutitskii & M. Sini
    2018-08-22
    34012 3624 Pages:141-166
  • Quadrature Methods for Highly Oscillatory Singular Integrals

    Jing Gao, Marissa Condon, Arieh Iserles, Benjamin Gilvey, Jon Trevelyan
    2020-11-04
    46551 3074 Pages:227-260
  • A New Finite Element Approximation of a State-Constrained Optimal Control Problem

    Wenbin Liu, Wei Gong, Ningning Yan
    2018-08-15
    34173 3838 Pages:97-114
  • Numerical Analysis of a Problem Involving a Viscoelastic Body with Double Porosity

    Noelia Bazarra, José R. Fernández, Mari Carme Leseduarte, Antonio Magaña, Ramón Quintanilla
    2022-10-06
    45197 2994 Pages:415-436
  • An Improved Error Analysis for Finite Element Approximation of Bioluminescence Tomography

    Wei Gong, Ruo Li, Ningning Yan & Weibo Zhao
    2018-08-07
    31903 3382 Pages:297-309
  • An Oscillation-Free Discontinuous Galerkin Method for a Nonlinear Stochastic Convection-Dominated Diffusion Problem and Its Error Analysis

    Yaping Li, Weidong Zhao, Wenju Zhao
    2025-09-28
    4325 327 Pages:1264-1289
  • Domain Decomposition with Nonmatching Grids for Exterior Transmission Problems via FEM and DtN Mapping

    Ju-E Yang & De-Hao Yu
    2006-06-02
    33598 3345 Pages:323-342
  • Analysis of a Mixed Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformation

    Qiang Du & Liyong Zhu
    2006-06-02
    33178 3337 Pages:265-280
  • A Diagonally-Implicit Time Integration Scheme for Space-Time Moving Finite Elements

    Randolph E. Bank, Maximilian S. Metti
    2019-04-29
    39674 4249 Pages:360-383 Open-access
  • High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

    Ruihan Guo, Liangyue Ji, Yan Xu
    2018-08-22
    41007 2977 Pages:135-158
  • Regularity Theory and Numerical Algorithm for the Time-Fractional Klein-Kramers Equation

    Jing Sun, Daxin Nie, Weihua Deng
    2024-11-19
    13998 1108 Pages:257-279
  • A Non-Oscillatory Kinetic Scheme for Multi-Component Flows with the Equation of State for a Stiffened Gas

    Yibing Chen & Song Jiang
    2021-07-01
    34815 3665 Pages:661-683
  • Mixed Discontinuous Galerkin Method for Quasi-Newtonian Stokes Flows

    Yanxia Qian, Fei Wang, Wenjing Yan
    2024-04-08
    18611 1921 Pages:885-910
  • On Finite Element Approximations to a Shape Gradient Flow in Shape Optimization of Elliptic Problems

    Chunxiao Liu, Shengfeng Zhu
    2023-05-08
    38954 2967 Pages:956-979
  • Boundary Penalty Finite Element Methods for Blending Surfaces, I Basic Theory

    Zicai Li
    1998-10-02
    31988 3633 Pages:457-480
  • Numerical Analysis of Elliptic Hemivariational Inequalities for Semipermeable Media

    Weimin Han, Ziping Huang, Cheng Wang, Wei Xu
    2019-04-29
    40424 2895 Pages:506-523
  • Grid-Independent Construction of Multistep Methods

    Carmen Arévalo, Gustaf Söderlind
    2018-08-22
    37949 2843 Pages:672-692
  • Numerical Analysis of Nonstationary Thermistor Problem

    Xing-Ye Yue
    1994-12-01
    33337 3614 Pages:213-223
  • A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions

    Changhui Yao, Fengdan Zhang, Cheng Wang
    2024-01-16
    25383 2169 Pages:544-569
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