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• Numerical Analysis of an Adaptive FEM for Distributed Flux Reconstruction

  Mingxia Li, Jingzhi Li & Shipeng Mao

  2020-07-31

  41320 4391 Pages:1068-1090

• Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation

  Q. Chen, P. Monk, X. Wang & D. Weile

  2020-07-31

  40650 4103 Pages:383-399

• An Adaptive Combined Preconditioner with Applications in Radiation Diffusion Equations

  Xiaoqiang Yue, Shi Shu, Xiaowen Xu & Zhiyang Zhou

  2020-07-30

  40059 3339 Pages:1313-1335

• Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise

  Yukun Li, Corey Prachniak, Yi Zhang

  2024-05-06

  27937 1985 Pages:1003-1028

• A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

  Yifei Wan, Yinhua Xia

  2023-06-06

  47343 3060 Pages:1270-1331

• A Full Space-Time Convergence Order Analysis of Operator Splittings for Linear Dissipative Evolution Equations

  Eskil Hansen & Erik Henningsson

  2020-07-31

  40359 3288 Pages:1302-1316

• A Locally Mass-Conservative Enriched Petrov-Galerkin Method Without Penalty for the Darcy Flow in Porous Media

  Huangxin Chen, Piaopiao Dong, Shuyu Sun, Zixuan Wang

  2026-01-18

  215 48 Pages:1199-1230

• Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

  Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang

  2025-08-23

  6455 465 Pages:684-710

• The a Priori and a Posteriori Error Estimates for Modified Interior Transmission Eigenvalue Problem in Inverse Scattering

  Yanjun Li, Yidu Yang, Hai Bi

  2023-09-04

  34706 2715 Pages:503-529

• Efficient Flexible Boundary Conditions for Long Dislocations

  M. Hodapp

  2022-09-29

  41392 3199 Pages:671-714

• A Lowest-Order Mixed Finite Element Method for the Elastic Transmission Eigenvalue Problem

  Yingxia Xi, Xia Ji

  2020-07-21

  47323 3114 Pages:1105-1132

• A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures

  Zhiqiang Yang, Yi Sun, Junzhi Cui & Xiao Li

  2018-09-17

  45445 5262 Pages:204-233

• Hermite Type Spline Spaces over Rectangular Meshes with Complex Topological Structures

  Meng Wu, Bernard Mourrain, André Galligo, Boniface Nkonga

  2018-04-09

  41751 3162 Pages:835-866

• Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations

  Andreas Hüppe, Gary Cohen, Sébastien Imperiale, Manfred Kaltenbacher

  2018-04-04

  42893 5097 Pages:1-22

• Analysis of a Two-Level Algorithm for HDG Methods for Diffusion Problems

  Binjie Li, Xiaoping Xie & Shiquan Zhang

  2020-07-31

  40206 3304 Pages:1435-1460

• Variance-Based Global Sensitivity Analysis via Sparse-Grid Interpolation and Cubature

  Gregery T. Buzzard & Dongbin Xiu

  2011-03-05

  39245 3847 Pages:542-567

• Analysis and Numerical Solution of Transient Electromagnetic Scattering from Overfilled Cavities

  J. Huang & A. Wood

  2020-07-31

  38749 3888 Pages:1043-1055

• Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions

  Xiangjun Meng, Xuelian Bao, Zhengru Zhang

  2025-01-22

  15521 944 Pages:137-170

• Newton’s Method and Its Hybrid with Machine Learning for Navier-Stokes Darcy Models Discretized by Mixed Element Methods

  Jianguo Huang, Hui Peng, Haohao Wu

  2025-01-22

  15867 892 Pages:30-60

• $L_2$ Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations

  Michael Junk & Zhaoxia Yang

  2018-04-02

  41203 3341 Pages:1225-1245

• Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

  Wenju Liu, Yanjiao Zhou, Zhiyue Zhang

  2024-03-13

  26459 2242 Pages:313-368

• General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

  Jianan Zeng, Wei Su, Lei Wu

  2023-08-14

  33711 3342 Pages:173-207

• The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

  Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura

  2023-04-28

  32683 3189 Pages:733-763 Open-access

• A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

  Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang

  2022-03-30

  51988 3131 Pages:1272-1295

• A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

  Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise

  2021-12-06

  49398 4230 Pages:60-93 Open-access

• A Mixed Finite Element Scheme for Quad-Curl Source and Eigenvalue Problems

  Huangxin Chen, Jingzhi Li, Weifeng Qiu, Chao Wang

  2021-02-25

  45770 3405 Pages:1125-1151

• A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

  Yue Yan, Wenbin Chen, Cheng Wang & Steven M. Wise

  2018-08-21

  51603 3339 Pages:572-602