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  • High Degree Immersed Finite Element Spaces by a Least Squares Method

    Slimane Adjerid, Ruchi Guo & Tao Lin
    2018-09-18
    32511 2604 Pages:604-626
  • Discontinuous Galerkin Methods for the Biharmonic Problem on Polygonal and Polyhedral Meshes

    Zhaonan Dong
    2019-08-09
    33732 2626 Pages:825-846
  • Optimized First-Order Taylor-Like Formulas and Gauss Quadrature Errors

    Joël Chaskalovic, Franck Assous
    2025-08-04
    6174 511 Pages:824-842
  • A Cell-Centered Finite Element Method with Imposed Flux Continuity and Streamline Upwind Technique for Advection-Diffusion Problems on General Meshes

    Ong Thanh Hai, Nguyen T. Hong Thai, Tran Thien Thanh
    2025-03-14
    8166 773 Pages:401-431
  • The Navier-Stokes-$\omega$/Navier-Stokes-$\omega$ Model for Fluid-Fluid Interaction Using an Unconditionally Stable Finite Element Scheme

    Qinghui Wang, Pengzhan Huang, Yinnian He
    2025-02-20
    8605 621 Pages:178-201
  • $hp$-Version Analysis for Arbitrarily Shaped Elements on the Boundary Discontinuous Galerkin Method for Stokes Systems

    Efthymios N. Karatzas
    2024-06-24
    18899 1442 Pages:528-559
  • Fast Numerical Solvers for Subdiffusion Problems with Spatial Interfaces

    Boyang Yu, Yonghai Li, Jiangguo Liu
    2024-05-20
    19896 1542 Pages:431-458
  • 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
    21687 1672 Pages:315-352
  • Discontinuous Galerkin Method for Nonlinear Quasi-Static Poroelasticity Problems

    Fan Chen, Ming Cui, Chenguang Zhou
    2024-04-07
    20682 2370 Pages:201-220
  • An a Priori Error Analysis of a Problem Involving Mixtures of Continua with Gradient Enrichment

    Noelia Bazarra, José R. Fernández, Antonio Magaña, Marc Magaña, Ramόn Quintanilla
    2024-04-07
    20669 1730 Pages:165-180
  • A Posteriori Error Estimates for a Local Discontinuous Galerkin Approximation of Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2023-11-13
    22384 2014 Pages:772-804
  • Numerical Approximations of the Allen-Cahn-Ohta-Kawasaki Equation with Modified Physics-Informed Neural Networks (PINNs)

    Jingjing Xu, Jia Zhao, Yanxiang Zhao
    2023-09-19
    25058 2204 Pages:693-708
  • A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition

    Dan Li, Yiqiang Li, Zhanbin Yuan
    2023-09-19
    25847 2167 Pages:647-666
  • Full Discretisation of the Time Dependent Navier-Stokes Equations with Anisotropic Slip Boundary Condition

    Rim Aldbaissy, Nancy Chalhoub, J. K. Djoko, Toni Sayah
    2023-05-22
    29547 2406 Pages:497-517
  • Unconditional Energy Stability and Solvability for a C0 Interior Penalty Method for a Sixth-Order Equation Modeling Microemulsions

    Amanda E. Diegel, Natasha S. Sharma
    2023-05-22
    29506 2537 Pages:459-477
  • Exponent Splitting Schemes for Evolution Equations with Fractional Powers of Operators

    Petr N. Vabishchevich
    2023-03-30
    29511 2566 Pages:371-390
  • On an Adaptive LDG for the $P$-Laplace Problem

    Dongjie Liu, Le Zhou, Xiaoping Zhang
    2022-09-27
    41639 2848 Pages:315-328
  • Error Estimates and Blow-Up Analysis of a Finite-Element Approximation for the Parabolic-Elliptic Keller-Segel System

    Wenbin Chen, Qianqian Liu, Jie Shen
    2022-09-27
    42699 2932 Pages:275-298
  • Superconvergence and Flux Recovery for an Enriched Finite Element Method

    Champike Attanayake, So-Hsiang Chou
    2021-08-09
    42373 2597 Pages:656-673
  • An $hp$ Finite Element Method for a Singularly Perturbed Reaction-Convection-Diffusion Boundary Value Problem with Two Small Parameters

    ​Irene Sykopetritou, Christos Xenophontos
    2021-05-25
    40141 2681 Pages:481-499
  • A Deep Learning Galerkin Method for the Second-Order Linear Elliptic Equations

    ​Jian Li, Wen Zhang, Jing Yue
    2021-05-25
    42788 2661 Pages:427-441
  • A Positivity-Preserving and Convergent Numerical Scheme for the Binary Fluid-Surfactant System

    Yuzhe Qin, Cheng Wang, Zhengru Zhang
    2021-03-25
    38474 2588 Pages:399-425
  • Numerical Analysis of a History-Dependent Variational-Hemivariational Inequality for a Viscoplastic Contact Problem

    Xiaoliang Cheng, Xilu Wang
    2020-10-27
    35462 2666 Pages:820-838
  • The Weak Galerkin Finite Element Method for Solving the Time-Dependent Stokes Flow

    Xiuli Wang, Yuanyuan Liu, Qilong Zhai
    2020-08-04
    35721 2645 Pages:732-745
  • Fitted Front Tracking Methods for Two-Phase Incompressible Navier–Stokes Flow: Eulerian and ALE Finite Element Discretizations

    Marco Agnese, Robert Nürnberg
    2020-08-04
    35704 2654 Pages:613-642
  • Transient Dynamics of Block Coordinate Descent in a Valley

    Martin Mohlenkamp, Todd R. Young, Balázs Bárány
    2020-08-04
    33665 2772 Pages:557-591
  • A Numerical Approach to Study the Thermal Influence on Gas Hydrates by Physical Process Splitting

    Yury Poveshchenko, Parvin Rahimly, Orkhan Rahimly, Viktoriia Podryga, Irina Gasilova
    2020-05-20
    34764 2735 Pages:404-433
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