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• Nonconforming Finite Element Method Applied to the Driven Cavity Problem

  Roktaek Lim & Dongwoo Sheen

  2018-04-09

  43371 3179 Pages:1012-1038

• Development of Finite Element Field Solver in Gyrokinetic Toroidal Code

  Hongying Feng, Wenlu Zhang, Zhihong Lin, Xiaohe Zhufu, Jin Xu, Jintao Cao & Ding Li

  2018-09-17

  47648 4858 Pages:655-671 Open-access

• 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

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

  Michel Mehrenberger, Laurent Navoret, Nhung Pham

  2020-07-21

  46686 3178 Pages:877-901

• Developing Finite Element Methods for Simulating Transformation Optics Devices with Metamaterials

  Wei Yang, Jichun Li, Yungqing Huang & Bin He

  2018-09-01

  46481 5467 Pages:135-154

• Numerical Simulations for the Quasi-3D Fluid Streamer Propagation Model: Methods and Applications

  Chijie Zhuang, Mengmin Huang & Rong Zeng

  2020-07-31

  43287 3294 Pages:1259-1278

• High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise

  Xiaobing Feng, Liet Vo

  2024-10-09

  15269 1198 Pages:821-849

• 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

• A Constrained Finite Element Method Based on Domain Decomposition Satisfying the Discrete Maximum Principle for Diffusion Problems

  Xingding Chen & Guangwei Yuan

  2018-04-03

  39668 3132 Pages:297-320

• Dispersion Error Analysis of Stable Node-Based Finite Element Method for the Helmholtz Equation

  Xin Hu, Xiangyang Cui, Qunyi Zhang, Gang Wang & Guangyao Li

  2018-08-21

  47046 3602 Pages:795-821

• A Weak Galerkin Finite Element Method for the Navier-Stokes Equations

  Jiachuan Zhang, Kai Zhang, Jingzhi Li & Xiaoshen Wang

  2018-08-21

  48648 3267 Pages:706-746

• Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

  Meng Li, Yihang Guo, Jingjiang Bi

  2025-08-23

  6319 430 Pages:729-765

• Finite Element Algorithm for Dynamic Thermoelasticity Coupling Problems and Application to Transient Response of Structure with Strong Aerothermodynamic Environment

  Zhihui Li, Qiang Ma & Junzhi Cui

  2018-04-04

  40497 3351 Pages:773-810

• Two-Grid Method for Miscible Displacement Problem by Mixed Finite Element Methods and Mixed Finite Element Method of Characteristics

  Yanping Chen & Hanzhang Hu

  2020-07-31

  40398 3256 Pages:1503-1528

• The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle

  Ang Li, Hongtao Yang, Yonghai Li, Guangwei Yuan

  2023-01-24

  37785 3048 Pages:1437-1473

• A Moving Mesh Finite Element Method for Bernoulli Free Boundary Problems

  Jinye Shen, Heng Dai, Weizhang Huang

  2024-07-29

  24116 1732 Pages:248-273

• Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation

  M. Holst, J. A. McCammon, Z. Yu, Y. C. Zhou & Y. Zhu

  2012-11-01

  40113 4341 Pages:179-214

• An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations

  Ruigang Shen, Qianru Zhang, Benzhuo Lu

  2024-09-06

  19661 1568 Pages:521-550

• 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

• A Bilinear Immersed Finite Volume Element Method for the Diffusion Equation with Discontinuous Coefficient

  X.-M. He, T. Lin & Y. Lin

  2009-06-01

  39004 4275 Pages:185-202

• Fast Numerical Simulation of Two-Phase Transport Model in the Cathode of a Polymer Electrolyte Fuel Cell

  Pengtao Sun, Guangri Xue, Chaoyang Wang & Jinchao Xu

  2009-06-01

  38800 4224 Pages:49-71

• A Hybrid Finite Element-Laplace Transform Method for the Analysis of Transient Electromagnetic Scattering by an Over-Filled Cavity in the Ground Plane

  Junqi Huang, Aihua W. Wood & Michael J. Havrilla

  2018-03-24

  37915 4482 Pages:126-141

• Enforcing the Discrete Maximum Principle for Linear Finite Element Solutions of Second-Order Elliptic Problems

  Richard Liska & Mikhail Shashkov

  2008-03-01

  37973 4142 Pages:852-877

• A Parallel Computational Model for Three-Dimensional, Thermo-Mechanical Stokes Flow Simulations of Glaciers and Ice Sheets

  Wei Leng, Lili Ju, Max Gunzburger & Stephen Price

  2014-10-08

  42614 4255 Pages:1056-1080

• A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore

  Jehanzeb Hameed Chaudhry, Jeffrey Comer, Aleksei Aksimentiev & Luke N. Olson

  2014-01-05

  40610 4210 Pages:93-125

• Time-Lapse 3-D Seismic Wave Simulation via the Generalized Multiscale Finite Element Method

  Yongchae Cho, Richard L. Gibson, Hyunmin Kim, Mikhail Artemyev, Yalchin Efendiev

  2020-06-05

  49066 4390 Pages:401-423