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  • 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
    205 44 Pages:1157-1185
  • Vector Penalty-Projection Methods for Open Boundary Conditions with Optimal Second-Order Accuracy

    Philippe Angot, Rima Cheaytou
    2019-07-02
    45404 4508 Pages:1008-1038 Open-access
  • 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
    44991 3113 Pages:460-479
  • A Hodge Decomposition Method for Dynamic Ginzburg–Landau Equations in Nonsmooth Domains — A Second Approach

    Buyang Li, Kai Wang, Zhimin Zhang
    2020-06-05
    49000 3292 Pages:768-802
  • 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
    49155 3215 Pages:967-998
  • High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions

    Liang Pan, Kun Xu
    2020-08-27
    48934 3260 Pages:1321-1351
  • 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
    147761 6053 Pages:2002-2041
  • Full Discretization Scheme for the Dynamics of Elliptic Membrane Shell Model

    Xiaoqin Shen, Qian Yang, Lin Bai, Kaitai Li
    2020-11-26
    47515 4288 Pages:186-210
  • 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
    186 67 Pages:485-520
  • Mortar Finite Element Method for the Coupling of Time Dependent Navier-Stokes and Darcy Equations

    Xin Zhao, Chuanjun Chen
    2025-09-02
    364 60 Pages:701-739
  • A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors

    Zezhong Wang, Qiya Hu
    2021-01-13
    44625 3268 Pages:767-801
  • 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
    49959 4457 Pages:34-66
  • A Fast Solver for an $\mathcal{H}_1$ Regularized PDE-Constrained Optimization Problem

    Andrew T. Barker, Tyrone Rees & Martin Stoll
    2018-04-03
    39961 4495 Pages:143-167
  • A Wavelet-Adaptive Method for Multiscale Simulation of Turbulent Flows in Flying Insects

    Thomas Engels, Kai Schneider, Julius Reiss, Marie Farge
    2021-08-10
    48454 3164 Pages:1118-1149
  • A Polynomial Chaos Method for Dispersive Electromagnetics

    Nathan L. Gibson
    2020-07-30
    39812 3413 Pages:1234-1263
  • Modeling 3D Magma Dynamics Using a Discontinuous Galerkin Method

    Seshu Tirupathi, Jan S. Hesthaven & Yan Liang
    2018-04-03
    41938 4421 Pages:230-246
  • 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
    47219 3289 Pages:1427-1452
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