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• A Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz Equation

  Wei Leng, Lili Ju

  2020-12-02

  47853 3362 Pages:357-398

• 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

  44968 3237 Pages:1446-1468

• A Hybrid FETD-FDTD Method with Nonconforming Meshes

  Bao Zhu, Jiefu Chen, Wanxie Zhong, Qing Huo Liu

  2011-03-05

  39197 4127 Pages:828-842

• Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

  Ameya D. Jagtap, George Em Karniadakis

  2020-11-18

  151476 6984 Pages:2002-2041

• A Hodge Decomposition Method for Dynamic Ginzburg–Landau Equations in Nonsmooth Domains — A Second Approach

  Buyang Li, Kai Wang, Zhimin Zhang

  2020-06-05

  49229 3356 Pages:768-802

• A Constrained Finite Element Method Based on Domain Decomposition Satisfying the Discrete Maximum Principle for Diffusion Problems

  Xingding Chen, Guangwei Yuan

  2018-04-03

  39741 3168 Pages:297-320

• Scalable Domain Decomposition Algorithms for Simulation of Flows Passing Full Size Wind Turbine

  Rongliang Chen, Zhengzheng Yan, Yubo Zhao, Xiao-Chuan Cai

  2018-09-17

  45236 3686 Pages:1503-1522

• Adaptive Neural Network Basis Methods for Partial Differential Equations with Low-Regular Solutions

  Jianguo Huang, Haohao Wu, Tao Zhou

  2026-02-15

  4083 195 Pages:553-577

• An Extremum-Preserving Iterative Procedure for the Imperfect Interface Problem

  Dongxu Jia, Zhiqiang Sheng, Guangwei Yuan

  2018-11-09

  46652 3435 Pages:853-870

• A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows

  Lei Xu, Rongliang Chen, Xiao-Chuan Cai

  2025-09-02

  11846 889 Pages:547-574

• Transition Operator Approach to Seismic Full-Waveform Inversion in Arbitrary Anisotropic Elastic Media

  Morten Jakobsen, Ivan Pšenčík, Einar Iversen, Bjørn Ursin

  2020-06-05

  52215 4643 Pages:297-327

• A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations

  Yuling Guo, Jianguo Huang

  2018-04-09

  41962 3269 Pages:542-571

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

  Hailong Sheng, Chao Yang

  2022-10-28

  47150 3352 Pages:980-1006

• A GPU-Accelerated Cartesian Grid Method for PDEs on Irregular Domain

  Liwei Tan, Minsheng Huang, Shuai Zhu, Pan Wang, Wenjun Ying

  2025-05-29

  9080 581 Pages:1250-1276

• An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems

  Qiuqi Li, Chang Liu, Mengnan Li, Pingwen Zhang

  2024-01-31

  29541 2893 Pages:38-69

• Direct Vlasov Solvers with High-Order Spectral Element Method

  Jin Xu, Brahim Mustapha, Peter Ostroumov, Jerry Nolen

  2010-08-01

  39619 4624 Pages:159-184

• Localized Exponential Time Differencing Method for Shallow Water Equations: Algorithms and Numerical Study

  Xucheng Meng, Thi-Thao-Phuong Hoang, Zhu Wang, Lili Ju

  2020-11-26

  48005 4649 Pages:80-110

• A Nonlinear Elimination Preconditioner for Fully Coupled Space-Time Solution Algorithm with Applications to High-Rayleigh Number Thermal Convective Flow Problems

  Haijian Yang, Feng-Nan Hwang

  2019-04-28

  46231 3271 Pages:749-767

• Chebyshev-Legendre Spectral Domain Decomposition Method for Two-Dimensional Vorticity Equations

  Hua Wu, Jiajia Pan, Haichuan Zheng

  2020-07-31

  41063 3336 Pages:1221-1241

• An Enriched Multiscale Mortar Space for High Contrast Flow Problems

  Yanfang Yang, Eric T. Chung, Shubin Fu

  2018-08-21

  46569 3184 Pages:476-499

• An Edge-Based Smoothed Finite Element Method with TBC for the Elastic Wave Scattering by an Obstacle

  Ze Wu, Junhong Yue, Ming Li, Ruiping Niu, Yufei Zhang

  2021-07-01

  48581 3275 Pages:709-748