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• A Minimum Action Method with Optimal Linear Time Scaling

  Xiaoliang Wan

  2020-07-30

  39723 3330 Pages:1352-1379

• Approximation of H(div) with High-Order Optimal Finite Elements for Pyramids, Prisms and Hexahedra

  Morgane Bergot & Marc Duruflé

  2013-11-05

  40073 3948 Pages:1372-1414

• Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise

  Xu Yang, Weidong Zhao, Wenju Zhao

  2024-07-29

  24842 2033 Pages:133-159

• A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

  Yonghong Hao, Qiumei Huang, Cheng Wang

  2021-01-13

  47288 3489 Pages:905-929

• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise

  2019-08-27

  50716 3598 Pages:1335-1364

• Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems

  Yue Yan, Weijia Li, Wenbin Chen & Yanqiu Wang

  2018-09-17

  45953 3305 Pages:510-530

• Extension of the High-Order Space-Time Discontinuous Galerkin Cell Vertex Scheme to Solve Time Dependent Diffusion Equations

  Shuangzhang Tu, Gordon W. Skelton & Qing Pang

  2012-11-01

  38646 4041 Pages:1503-1524

• A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes

  Ang Li, Hongtao Yang, Yulong Gao, Yonghai Li

  2024-01-31

  30212 2641 Pages:239-272

• A Stochastic Gradient Descent Method for Computational Design of Random Rough Surfaces in Solar Cells

  Qiang Li, Gang Bao, Yanzhao Cao, Junshan Lin

  2023-12-11

  31221 2600 Pages:1361-1390

• 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 Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains

  Yi Liu, Wenbin Chen, Yanqiu Wang

  2022-10-28

  46411 3288 Pages:1094-1128

• 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

• An Interface-Unfitted Conforming Enriched Finite Element Method for Stokes-Elliptic Interface Problems with Jump Coefficients

  Hua Wang, Jinru Chen, Pengtao Sun, Rihui Lan

  2020-02-23

  51312 3390 Pages:1174-1200

• An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

  Nianyu Yi & Hailiang Liu

  2018-08-21

  46501 3244 Pages:747-772

• A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L2 Error Estimates

  Kaixin Wang, Hong Wang, Mohamed Al-Lawatia & Hongxing Rui

  2009-06-01

  124 89 Pages:203-230

• A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem

  Zhijie Du, Huoyuan Duan, Duowei Zhu

  2025-08-23

  6418 437 Pages:887-922

• 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 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

• On the Stability and CPU Time of the Implicit Runge-Kutta Schemes for Steady State Simulations

  Yongle Du & John A. Ekaterinaris

  2018-04-04

  39701 3140 Pages:486-511

• $C^0$IPG for a Fourth Order Eigenvalue Problem

  Xia Ji, Hongrui Geng, Jiguang Sun & Liwei Xu

  2018-04-03

  42426 3204 Pages:393-410

• The Stability and Convergence of Fully Discrete Galerkin-Galerkin FEMs for Porous Medium Flows

  Buyang Li, Jilu Wang & Weiwei Sun

  2020-07-31

  42467 4331 Pages:1141-1158

• Immersed Finite Element Method for Interface Problems with Algebraic Multigrid Solver

  Wenqiang Feng, Xiaoming He, Yanping Lin & Xu Zhang

  2020-07-31

  42265 4140 Pages:1045-1067

• 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

• Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model

  Mingbo Zhou, Rui Li, Wenjing Yan, Zhangxin Chen

  2025-04-27

  9153 554 Pages:1008-1054

• Fast Solver for the Local Discontinuous Galerkin Discretization of the KdV Type Equations

  Ruihan Guo & Yan Xu

  2020-07-30

  40305 3095 Pages:424-457

• A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem

  Yingxia Xi, Xia Ji, Shuo Zhang

  2021-08-10

  47758 3022 Pages:1061-1082

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

  Zezhong Wang, Qiya Hu

  2021-01-13

  44712 3290 Pages:767-801