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• A Moving Mesh Finite Element Method for Bernoulli Free Boundary Problems

  Jinye Shen, Heng Dai, Weizhang Huang

  2024-07-29

  24233 1819 Pages:248-273

• A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells

  Wenjun Ying

  2020-07-31

  44186 3255 Pages:1196-1220

• A Kernel-Free Boundary Integral Method for Variable Coefficients Elliptic PDEs

  Wenjun Ying, Wei-Cheng Wang

  2020-07-31

  41158 3931 Pages:1108-1140

• A Fast Cartesian Grid-Based Integral Equation Method for Unbounded Interface Problems with Non-Homogeneous Source Terms

  Jiahe Yang, Wenjun Ying

  2023-08-14

  33964 3541 Pages:208-234

• A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32917 3085 Pages:764-794

• A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem

  M. Bonotto, D. Abate, P. Bettini, F. Villone

  2021-12-06

  47448 4114 Pages:27-59

• A Highly Scalable Boundary Integral Equation and Walk-on-Spheres (BIE-WOS) Method for the Laplace Equation with Dirichlet Data

  Changhao Yan, Wei Cai, Xuan Zeng

  2021-03-24

  44964 3236 Pages:1446-1468

• New 3D Benchmark for CFD-Codes Based on Analytical Solution of Spherically-Symmetric Gas Free Expansion

  Maxim Davydov, Olga Stoyanovskaya, Tatiana Savvateeva, Valeriy Snytnikov

  2025-08-08

  4620 482 Pages:439-466

• A Variational Neural Network Approach for Glacier Modelling with Nonlinear Rheology

  Tiangang Cui, Zhongjian Wang, Zhiwen Zhang

  2023-11-08

  30956 2626 Pages:934-954

• PFNN-2: A Domain Decomposed Penalty-Free Neural Network Method for Solving Partial Differential Equations

  Hailong Sheng, Chao Yang

  2022-10-28

  47147 3349 Pages:980-1006

• A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

  Ji Lin, Sergiy Reutskiy, C. S. Chen, Jun Lu

  2019-02-25

  47439 5573 Pages:233-264

• A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions

  Zheng Li, Feng Shi, Yizhong Sun, Yuhong Zhang, Haibiao Zheng

  2024-09-06

  19533 1579 Pages:551-580

• Reduction of the Regularization Error of the Method of Regularized Stokeslets for a Rigid Object Immersed in a Three-Dimensional Stokes Flow

  Hoang-Ngan Nguyen, Ricardo Cortez

  2014-01-05

  40616 4490 Pages:126-152

• Long Wave Interaction with a Partially Immersed Body. Part I: Mathematical Models

  Gayaz Khakimzyanov, Denys Dutykh

  2019-12-07

  45676 3257 Pages:321-378

• Super-Grid Modeling of the Elastic Wave Equation in Semi-Bounded Domains

  N. Anders Petersson, Bjoern Sjoegreen

  2014-10-08

  42671 4134 Pages:913-955

• Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient?

  John W. Barrett, Harald Garcke, Robert Nuernberg

  2018-03-27

  40324 4106 Pages:506-555

• An Efficient Hybrid DSMC/MD Algorithm for Accurate Modeling of Micro Gas Flows

  Tengfei Liang, Wenjing Ye

  2014-01-05

  40712 4638 Pages:246-264

• Image Charge Method for Reaction Fields in a Hybrid Ion-Channel Model

  Zhenli Xu, Wei Cai, Xiaolin Cheng

  2011-09-01

  38420 3950 Pages:1056-1070

• Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

  Qi Sun, Xuejun Xu, Haotian Yi

  2025-07-11

  5421 676 Pages:248-284

• Concepts in the Direct Waveform Inversion (DWI) Using Explicit Time-Space Causality

  Yingcai Zheng, Zhonghan Liu

  2020-06-05

  49288 4542 Pages:342-355

• Topology Optimization of Capillary, Two-Phase Flow Problems

  Yongbo Deng, Zhenyu Liu, Yihui Wu

  2017-11-02

  42536 3493 Pages:1413-1438