Search Results

• Analysis of an Embedded Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Convection-Diffusion Problems

  Guosheng Fu & Chi-Wang Shu

  2018-09-18

  32990 2508 Pages:477-499

• Numerical Analysis of the Finite Difference Time Domain Methods with High Accuracy in Time for Maxwell Equations

  Liping Gao, Xiaosong Zhang, Rengang Shi

  2025-08-04

  6226 517 Pages:843-859

• Degenerate Area Preserving Surface Allen-Cahn Equation and Its Sharp Interface Limit

  Michal Beneš, Miroslav Kolář, Jan Magnus Sischka, Axel Voigt

  2025-05-26

  7780 514 Pages:603-613

• An Unconditionally Energy-Stable SAV-DG Numerical Scheme for Tumor Growth Model

  Penghao Guo, Bo Wang, Guang-An Zou

  2025-04-29

  7074 568 Pages:510-533

• A Selectively Relaxed Alternating Positive Semidefinite Splitting Preconditioner for the Flux-Limited Multi-Group Radiation Diffusion Equations

  Xiaoqiang Yue, Rong Zhou, Chunyan Chen, Xiaowen Xu, Shi Shu

  2025-03-14

  8252 797 Pages:361-383

• 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

• Weak Galerkin Finite Element Method Based on POD for Nonlinear Parabolic Equations

  Jianghong Zhang, Fuzheng Gao, Jintao Cui

  2025-02-20

  8740 635 Pages:157-177

• A Difference Virtual Element Method for the 3D Elliptic Equation with the Variable Coefficient on General Cylindrical Domains

  Lulu Li, Yinnian He, Xinlong Feng

  2024-11-22

  12732 1281 Pages:96-112

• Decoupling Methods for Fluid-Structure Interaction with Local Time-Stepping

  Hemanta Kunwar, Hyesuk Lee

  2024-11-22

  13016 1270 Pages:71-95

• A Finite Volume Method Preserving the Invariant Region Property for the Quasimonotone Reaction-Diffusion Systems

  Huifang Zhou, Yuchun Sun, Fuchang Huo

  2024-10-09

  13530 1063 Pages:910-932

• Fast Numerical Solvers for Subdiffusion Problems with Spatial Interfaces

  Boyang Yu, Yonghai Li, Jiangguo Liu

  2024-05-20

  19896 1542 Pages:431-458

• Two Decoupled and Linearized Block-Centered Finite Difference Methods for the Nonlinear Symmetric Regularized Long Wave Equation

  Jie Xu, Shusen Xie, Hongfei Fu

  2024-04-07

  20892 1705 Pages:244-267

• A Hybrid Stress Finite Element Method for Integro-Differential Equations Modelling Dynamic Fractional Order Viscoelasticity

  Menghan Liu, Xiaoping Xie

  2024-04-07

  20630 1764 Pages:221-243

• Discontinuous Galerkin Method for Nonlinear Quasi-Static Poroelasticity Problems

  Fan Chen, Ming Cui, Chenguang Zhou

  2024-04-07

  20682 2370 Pages:201-220

• A Posteriori Error Estimates for Darcy-Forchheimer’s Problem Coupled with the Convection-Diffusion-Reaction Equation

  Faouzi Triki, Toni Sayah, Georges Semaan

  2024-01-03

  26283 2310 Pages:65-103

• High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions

  Champike Attanayake, So-Hsiang Chou, Quanling Deng

  2023-11-13

  22445 1999 Pages:870-895

• 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

• 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

• A Fully Implicit Method Using Nodal Radial Basis Functions to Solve the Linear Advection Equation

  P.-A. Gourdain, M. Evans, H. R. Hasson, J. R. Young, I. West-Abdallah, M. B. Adams

  2023-03-30

  29232 2571 Pages:437-458

• Monolithic and Partitioned Finite Element Schemes for FSI Based on an ALE Divergence-Free HDG Fluid Solver and a TDNNS Structural Solver

  Guosheng Fu

  2023-01-14

  28291 2615 Pages:267-312

• A Decoupled, Parallel, Iterative Finite Element Method for Solving the Steady Boussinesq Equations

  Yuanyuan Hou, Wenjing Yan, Lioba Boveleth, Xiaoming He

  2022-09-27

  38808 2828 Pages:739-760

• Low Order Mixed Finite Element Approximations of the Monge-Ampère Equation

  Jamal Adetola, Bernadin Ahounou, Gerard Awanou, Hailong Guo

  2022-08-22

  295940 2642 Pages:669-684

• 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

  297311 2817 Pages:603-629

• An Immersed Crouzeix-Raviart Finite Element Method for Navier-Stokes Equations with Moving Interfaces

  Jin Wang, Xu Zhang, Qiao Zhuang

  2022-06-22

  38487 2658 Pages:563-586

• A Computational Study of Preconditioning Techniques for the Stochastic Diffusion Equation with Lognormal Coefficient

  Eugenio Aulisa, Giacomo Capodaglio, Guoyi Ke

  2022-09-27

  41582 2946 Pages:220-236

• An Efficient Nonlinear Solver for Steady MHD Based on Algebraic Splitting

  Mengying Xiao

  2021-08-09

  43064 2648 Pages:674-689

• 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