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• Mortar Finite Element Method for the Coupling of Time Dependent Navier-Stokes and Darcy Equations

  Xin Zhao, Chuanjun Chen

  2025-09-02

  10161 629 Pages:701-739

• A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

  Liwei Tan, Minsheng Huang, Wenjun Ying

  2024-09-06

  20233 1592 Pages:485-520

• A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications

  Xinyu Liu, Jie Shen, Xiangxiong Zhang

  2024-12-02

  17147 1405 Pages:1157-1185

• Long-Time Integration of Nonlinear Wave Equations with Neural Operators

  Guanhang Lei, Zhen Lei, Lei Shi

  2026-01-18

  792 146 Pages:1137-1163

• Simulation of Decoherence by Averaged Semiquantum Method

  Zhuo Wang, Quanlin Jie, Shi-Hui Zhang

  2010-07-01

  38493 4080 Pages:718-737

• Full Discretization Scheme for the Dynamics of Elliptic Membrane Shell Model

  Xiaoqin Shen, Qian Yang, Lin Bai, Kaitai Li

  2020-11-26

  47720 4420 Pages:186-210

• A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors

  Zezhong Wang, Qiya Hu

  2021-01-13

  44833 3331 Pages:767-801

• Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media

  Phuoc-Toan Huynh, Yanzhao Cao, Thi-Thao-Phuong Hoang

  2023-12-11

  34704 2699 Pages:1215-1246

• 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

  151550 6990 Pages:2002-2041

• High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions

  Liang Pan, Kun Xu

  2020-08-27

  49148 3309 Pages:1321-1351

• A Novel Iterative Penalty Method to Enforce Boundary Conditions in Finite Volume POD-Galerkin Reduced Order Models for Fluid Dynamics Problems

  S. Kelbij Star, Giovanni Stabile, Francesco Belloni, Gianluigi Rozza, Joris Degroote

  2021-04-30

  50208 4616 Pages:34-66

• A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

  Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang

  2020-07-21

  49446 3276 Pages:967-998

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

  Buyang Li, Kai Wang, Zhimin Zhang

  2020-06-05

  49230 3356 Pages:768-802

• Upwind Biased Local RBF Scheme with PDE Centres for the Steady Convection Diffusion Equations with Continuous and Discontinuous Boundary Conditions

  K. Monysekar, Y. V. S. S. Sanyasiraju

  2019-12-07

  45198 3172 Pages:460-479

• Consistent Forcing Scheme in the Simplified Lattice Boltzmann Method for Incompressible Flows

  Yuan Gao, Liuming Yang, Yang Yu, Guoxiang Hou, Zhongbao Hou

  2021-10-26

  47430 3355 Pages:1427-1452

• Vector Penalty-Projection Methods for Open Boundary Conditions with Optimal Second-Order Accuracy

  Philippe Angot, Rima Cheaytou

  2019-07-02

  45602 4641 Pages:1008-1038 Open-access

• Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems

  Boyang Yu, Hongtao Yang, Yonghai Li, Guangwei Yuan

  2022-05-06

  45192 3299 Pages:1489-1524

• Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation

  Chris Schoutrop, Jan ten Thije Boonkkamp, Jan van Dijk

  2022-07-06

  42800 3915 Pages:156-188

• A Wavelet-Adaptive Method for Multiscale Simulation of Turbulent Flows in Flying Insects

  Thomas Engels, Kai Schneider, Julius Reiss, Marie Farge

  2021-08-10

  48722 3242 Pages:1118-1149