Search Results

• Unconditional Bound-Preserving and Energy-Dissipating Finite-Volume Schemes for the Cahn-Hilliard Equation

  Rafael Bailo, José A. Carrillo, Serafim Kalliadasis, Sergio P. Perez

  2023-10-07

  35171 2790 Pages:713-748

• Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems

  Sidi Wu, Aiqing Zhu, Yifa Tang, Benzhuo Lu

  2023-03-13

  40769 3224 Pages:596-627

• Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

  Jea-Hyun Park, Abner J. Salgado, Steven M. Wise

  2023-03-13

  46369 3577 Pages:367-398

• Lattice Boltzmann Modeling of Miscible Multicomponent Gas Mixtures in the Rarefied Regime

  Michel Ho, Sami Ammar, Sébastien Leclaire, Marcelo Reggio, Jean-Yves Trépanier

  2022-10-28

  44649 3307 Pages:1179-1216

• Physics-Driven Learning of the Steady Navier-Stokes Equations Using Deep Convolutional Neural Networks

  Hao Ma, Yuxuan Zhang, Nils Thuerey, Xiangyu Hu, Oskar J. Haidn

  2022-09-29

  42625 3275 Pages:715-736

• MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

  Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma

  2022-08-11

  306975 3553 Pages:299-335

• 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

  42522 3761 Pages:156-188

• Convergence Rate Analysis for Deep Ritz Method

  Chenguang Duan, Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Jerry Zhijian Yang

  2022-03-30

  58803 3318 Pages:1020-1048

• Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation

  Min Cai, Ehsan Kharazmi, Changpin Li, George Em Karniadakis

  2022-01-27

  44308 3249 Pages:331-369

• A Non-Ersatz Material Approach for the Topology Optimization of Elastic Structures Based on Piecewise Constant Level Set Method

  Zhengfang Zhang, Yanqiang Dong, Weifeng Chen

  2021-10-26

  46482 3323 Pages:1370-1389

• 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

• Permanent Charge Effects on Ionic Flow: A Numerical Study of Flux Ratios and Their Bifurcation

  Weizhang Huang, Weishi Liu, Yufei Yu

  2021-05-25

  47402 3134 Pages:486-514

• Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films

  Ruotai Li, Qiang Du, Lei Zhang

  2021-01-13

  47283 3406 Pages:729-746

• On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

  Yeonjong Shin, Jérôme Darbon, George Em Karniadakis

  2020-11-18

  88478 4440 Pages:2042-2074

• Mathematical Aspects Relative to the Fluid Statics of a Self-Gravitating Perfect-Gas Isothermal Sphere

  Pierluigi Amodio, Domenico Giordano, Felice Iavernaro, Arcangelo Labianca, Monica Lazzo, Francesca Mazzia, Lorenzo Pisani

  2020-07-21

  46833 3164 Pages:1085-1104

• Recurrence Phenomenon for Vlasov-Poisson Simulations on Regular Finite Element Mesh

  Michel Mehrenberger, Laurent Navoret, Nhung Pham

  2020-07-21

  46580 3156 Pages:877-901

• Construction of the Local Structure-Preserving Algorithms for the General Multi-Symplectic Hamiltonian System

  Jialing Wang, Yushun Wang, Dong Liang

  2020-07-30

  44627 3643 Pages:828-860

• An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy

  Qiong-Ao Huang, Wei Jiang, Jerry Zhijian Yang

  2019-08-27

  48814 3527 Pages:1444-1470

• Point Integral Method for Elliptic Equations with Variable Coefficients on Point Cloud

  Zhen Li, Zuoqiang Shi & Jian Sun

  2019-04-04

  46615 3334 Pages:506-530

• A Second-Order Two-Scale Algorithm for Thermo-Mechanical Coupling Problems in Quasi-Periodic Porous Materials

  Zhiqiang Yang, Yi Sun, Junzhi Cui, Tianyu Guan & Zifeng Yuan

  2018-12-08

  48238 3408 Pages:1144-1176

• Application of the GRP Scheme for Cylindrical Compressible Fluid Flows

  Rui Chen, Jiequan Li & Baolin Tian

  2018-09-17

  44103 3499 Pages:1523-1555

• Numerical Study on Two-Dimensional Micro-Channel Flows Using the Gas-Kinetic Unified Algorithm

  Shen-Mao Hou, Zhi-Hui Li, Xin-Yu Jiang & Shi Zeng

  2018-08-21

  46884 3498 Pages:1393-1414

• The Simplified Lattice Boltzmann Method on Non-Uniform Meshes

  Zhen Chen, Chang Shu & Danielle S. Tan

  2020-07-31

  51866 3232 Pages:1131-1149

• An Explicit Formula for Two-Dimensional Singly-Periodic Regularized Stokeslets Flow Bounded by a Plane Wall

  Forest O. Mannan & Ricardo Cortez

  2018-07-03

  47412 6148 Pages:142-167

• Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space

  Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev & Nina Yu. Shokina

  2018-07-03

  47610 5449 Pages:30-92

• Numerical Computation of Doubly-Periodic Stokes Flow Bounded by a Plane with Applications to Nodal Cilia

  Franz Hoffmann & Ricardo Cortez

  2017-09-02

  41444 3238 Pages:620-642

• A Unified Momentum Equation Approach for Computing Flow-Induced Stresses in Structures with Arbitrarily-Shaped Stationary Boundaries

  Haram Yeo, Hyungson Ki

  2019-10-31

  41934 4287 Pages:39-63