Search Results

• Auto-Stabilized Weak Galerkin Finite Element Methods for Biharmonic Equations on Polytopal Meshes Without Convexity Assumptions

  Chunmei Wang

  2025-10-21

  5542 319 Pages:83-102

• A Finite Element Method for the One-Dimensional Prescribed Curvature Problem

  Susanne C. Brenner, Li-Yeng Sung, Zhuo Wang & Yuesheng Xu

  2018-09-18

  32437 2576 Pages:646-669

• A Class of Runge-Kutta Methods for Backward Stochastic Differential Equations

  Xiao Tang, Jie Xiong

  2025-08-04

  6263 531 Pages:777-800

• The Weighted and Shifted Two-Step BDF Method for Allen-Cahn Equation on Variable Grids

  Minghua Chen, Fan Yu, Qingdong Zhang

  2025-05-26

  7840 608 Pages:671-693

• 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

• 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

• A Linearized, Decoupled and Unconditionally Stable BDF2 FEM for the Active Fluid Model

  Yuxing Zhang, Bo Wang

  2024-11-22

  13578 1297 Pages:40-70

• 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

• Sixth-Order Compact Differencing with Staggered Boundary Schemes and 3(2) Bogacki-Shampine Pairs for Pricing Free-Boundary Options

  Chinonso Nwankwo, Weizhong Dai

  2024-10-09

  13994 1116 Pages:793-821

• A Voigt-Regularization of the Thermally Coupled Inviscid, Resistive Magnetohydrodynamic

  Xingwei Yang, Pengzhan Huang, Yinnian He

  2024-06-24

  20361 1446 Pages:476-503

• 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

• Numerical Analysis of a Mixed Finite Element Approximation of a Coupled System Modeling Biofilm Growth in Porous Media with Simulations

  Azhar Alhammali, Malgorzata Peszynska, Choah Shin

  2024-01-03

  26367 2440 Pages:20-64

• A Conforming DG Method for the Biharmonic Equation on Polytopal Meshes

  Xiu Ye, Shangyou Zhang

  2023-11-13

  22030 1990 Pages:855-869

• A Splitting Spectral Method for the Nonlinear Dirac-Poisson Equations

  Dandan Wang, Yong Zhang, Hanquan Wang

  2023-05-22

  28972 2381 Pages:577-595

• 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

• Numerical Approximations for the Null Controllers of Structurally Damped Plate Dynamics

  Pelin G. Geredeli, Carson Givens, Ahmed Zytoon

  2023-03-30

  29543 2566 Pages:329-352

• 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 Spring–Beam System with Signorini’s Condition and the Normal Compliance Condition

  Jeongho Ahn, Nicholas Tate

  2022-11-28

  291739 3145 Pages:67-91

• A Numerical Analysis of the Coupled Cahn-Hilliard/Allen-Cahn System with Dynamic Boundary Conditions

  Ahmad Makki, Alain Miranville, Madalina Petcu

  2022-08-22

  297205 2711 Pages:630-655

• 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

• Convergence Analysis of Nitsche Extended Finite Element Methods for H(Curl)-Elliptic Interface Problems

  Nan Wang, Jinru Chen

  2022-06-22

  38108 2662 Pages:487-510

• Numerical Analysis of High Order Time Stepping Schemes for a Predator-Prey System

  Konstantinos Chrysafinos, Dimitrios Kostas

  2022-09-27

  40726 2772 Pages:404-423

• 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

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

  Mengying Xiao

  2021-08-09

  43064 2648 Pages:674-689

• Global Well-Posedness for Navier-Stokes-Darcy Equations with the Free Interface

  Bin Zhao, Mingyue Zhang, Chuangchuang Liang

  2021-08-09

  43302 2701 Pages:569-619