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• The Mechanical Behavior of a Poroelastic Medium Saturated with a Newtonian Fluid

  Zhangxin Chen, Stephen L. Lyons, Guan Qin

  2018-08-15

  30691 3808 Pages:75-98

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

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

  2018-09-18

  32376 2552 Pages:646-669

• Force Convergence for the de Gennes-Cahn-Hilliard Energy

  Shibin Dai, Abba Ramadan, Joseph Renzi

  2025-05-26

  7651 447 Pages:745-754

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

  Minghua Chen, Fan Yu, Qingdong Zhang

  2025-05-26

  7681 550 Pages:671-693

• An Energy-Dissipation Finite Element Pressure-Correction Scheme for the Hydrodynamics of Smectic-A Liquid Crystals

  Panpan Guo, Guang-An Zou, Min Zhang

  2025-05-26

  7644 439 Pages:637-670

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

  Penghao Guo, Bo Wang, Guang-An Zou

  2025-04-29

  6945 518 Pages:510-533

• Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential

  Amanda E. Diegel, Cheng Wang, Steven M. Wise

  2025-04-29

  7046 491 Pages:483-509

• On a 1/2-Equation Model of Turbulence

  Rui Fang, Wei-Wei Han, William J Layton

  2025-02-20

  8686 579 Pages:139-156

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

  Yuxing Zhang, Bo Wang

  2024-11-22

  13436 1218 Pages:40-70

• Choice of Interior Penalty Coefficient for Interior Penalty Discontinuous Galerkin Method for Biot’s System by Employing Machine Learning

  Sanghyun Lee, Teeratorn Kadeethum, Hamidreza M. Nick

  2024-10-08

  13155 1055 Pages:764-792

• Improving the Expressive Power of Deep Neural Networks Through Integral Activation Transform

  Zezhong Zhang, Feng Bao, Guannan Zhang

  2024-10-08

  12751 999 Pages:739-763

• 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

  21569 1634 Pages:315-352

• Richardson Extrapolation of the Crank-Nicolson Scheme for Backward Stochastic Differential Equations

  Yafei Xu, Weidong Zhao

  2024-04-07

  20861 1728 Pages:268-294

• 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

  26193 2255 Pages:65-103

• Newton-Anderson at Singular Points

  Matt Dallas, Sara Pollock

  2023-09-19

  24954 2068 Pages:667-692

• 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

  29456 2384 Pages:497-517

• 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

  28189 2568 Pages:267-312

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

  Jeongho Ahn, Nicholas Tate

  2022-11-28

  291634 3048 Pages:67-91

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

  Jin Wang, Xu Zhang, Qiao Zhuang

  2022-06-22

  38382 2624 Pages:563-586

• Error Estimates for Semi-Discrete Finite Element Approximations for a Moving Boundary Problem Capturing the Penetration of Diffusants into Rubber

  Surendra Nepal, Yosief Wondmagegne, Adrian Muntean

  2022-03-22

  29882 3065 Pages:101-125

• Optimality Criteria and Duality for Nonlinear Fractional Continuous-Time Programming

  ​Aleksandar Jović

  2021-11-05

  42218 2617 Pages:865-880

• A Positivity-Preserving and Convergent Numerical Scheme for the Binary Fluid-Surfactant System

  Yuzhe Qin, Cheng Wang, Zhengru Zhang

  2021-03-25

  38404 2573 Pages:399-425

• Numerical Simulations for Shallow Water Flows over Erodible Beds by Central DG Methods

  Weizhi Xian, Aimin Chen, Yongping Cheng, Haiyun Dong

  2021-03-24

  32299 2468 Pages:143-164

• Dynamical Behaviors of Attraction-Repulsion Chemotaxis Model

  Xinmei Wen, Mingyue Zhang, Yang Chen

  2020-08-04

  32270 2614 Pages:457-484

• 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

  34660 2705 Pages:404-433

• Strong Convergence and Stability of the Semi-Tamed and Tamed Euler Schemes for Stochastic Differential Equations with Jumps under Non-Global Lipschitz Condition

  Antoine Tambue, Jean Daniel Mukam

  2019-08-09

  34940 4033 Pages:847-872 Open-access

• Numerical Analysis of an Energy-Conservation Scheme for Two-Dimensional Hamiltonian Wave Equations with Neumann Boundary Conditions

  Changying Liu, Wei Shi, Xinyuan Wu

  2019-02-22

  35716 2705 Pages:319-339