Search Results

• The Weak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations

  Xiuli Wang, Qilong Zhai, Ran Zhang, Shangyou Zhang

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0088

  49455 5390 pp. 164-188

• A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation

  Shimin Chai, Yongkui Zou, Wenju Zhao

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0028

  44672 3117 pp. 467-485

• A Discontinuous Galerkin Finite Element Method Without Interior Penalty Terms

  Fuzheng Gao, Xiu Ye, Shangyou Zhang

  2022-01-24

  DOI:10.4208/aamm.OA-2020-0247

  42302 3424 pp. 299-314

• Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

  Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao

  2018-05-05

  DOI:10.4208/aamm.2014.m811

  42130 4759 pp. 353-385 Open Access

• On the Factors Affecting the Accuracy and Robustness of Smoothed-Radial Point Interpolation Method

  Abderrachid Hamrani, Idir Belaidi, Eric Monteiro, Philippe Lorong

  2018-05-05

  DOI:10.4208/aamm.2015.m1115

  44124 4634 pp. 43-72

• A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients

  Liqun Wang, Songming Hou, Liwei Shi, Ping Zhang

  2019-01-04

  DOI:10.4208/aamm.OA-2018-0099

  48011 4851 pp. 216-240

• A Primal-Dual Discontinuous Galerkin Finite Element Method for Ill-Posed Elliptic Cauchy Problems

  Yanli Chen, Tie Zhang, Ying Sheng

  2024-05-14

  DOI:10.4208/aamm.OA-2022-0108

  25102 2506 pp. 860-877

• A Weak Galerkin Finite Element Method for a $H({\rm curl})$-Elliptic Problem

  Jie Peng, Yingying Xie, Yage Xu, Liuqiang Zhong

  2025-07-19

  DOI:10.4208/aamm.OA-2023-0101

  8090 537 pp. 1411-1429

• A Posteriori Error Estimates of a Combined Mixed Finite Element and Discontinuous Galerkin Method for a Kind of Compressible Miscible Displacement Problems

  Jiming Yang, Zhiguang Xiong

  2013-05-01

  DOI:10.4208/aamm.11-m1140

  42034 4484 pp. 163-179

• Modification of Multiple Knot $B$-Spline Wavelet for Solving (Partially) Dirichlet Boundary Value Problem

  Fatemeh Pourakbari, Ali Tavakoli

  2021-07-01

  DOI:10.4208/aamm.12-12S10

  43783 4594 pp. 799-820

• Galerkin Formulations of the Method of Fundamental Solutions

  J. R. Berger, Andreas Karageorghis

  2021-01-13

  DOI:10.4208/aamm.13-13S02

  42798 4263 pp. 423-441

• Convergence and Quasi-Optimality of an Adaptive Continuous Interior Penalty Finite Element Method

  Lingxue Zhu, Zhenhua Zhou

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0160

  43571 3241 pp. 428-451

• A Stabilized Finite Element Method for Non-Stationary Conduction-Convection Problems

  Ke Zhao, Yinnian He, Tong Zhang

  2018-08-10

  DOI:10.4208/aamm.10-m1042

  41643 4397 pp. 239-258

• A Global Interpolating EFG Method for the Axially Moving Hub-Beam System

  Dan Xie, Shouyong Xie

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0170

  45224 3247 pp. 1136-1158

• Petrov-Galerkin Immersed Iso$P_2-P_0$ Interface Method for Solving Stokes Interface Problem

  Na Zhu, Hongxing Rui

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0268

  11499 852 pp. 909-921

• A Meshfree Technique for Numerical Simulation of Reaction-Diffusion Systems in Developmental Biology

  Zahra Jannesari, Mehdi Tatari

  2018-05-05

  DOI:10.4208/aamm.2015.m1085

  45233 3083 pp. 1225-1249

• An Inf-Sup Stabilized Finite Element Method by Multiscale Functions for the Stokes Equations

  Zhihao Ge, Yinnian He, Lingyu Song

  2018-08-10

  40202 3932 pp. 273-287

• Implicit DG Method for Time Domain Maxwell's Equations Involving Metamaterials

  Jiangxing Wang, Ziqing Xie, Chuanmiao Chen

  2021-07-01

  DOI:10.4208/aamm.2014.m725

  43056 4236 pp. 796-817

• Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

  Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt

  2026-02-01

  DOI:10.4208/aamm.OA-2023-0317

  5411 474 pp. 134-169

• Optimal Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method and Exponential Time Differencing Schemes for the Thin Film Epitaxy Problem Without Slope Selection

  Danni Zhang, Ruihan Guo

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0204

  39136 3550 pp. 545-567

• A Straightforward $hp$-Adaptivity Strategy for Shock-Capturing with High-Order Discontinuous Galerkin Methods

  Hongqiang Lu, Qiang Sun

  2014-06-01

  DOI:10.4208/aamm.2013.m-s1

  44756 5038 pp. 135-144

• Posteriori Error Estimation for an Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma

  Jichun Li

  2018-08-10

  43171 4776 pp. 107-124

• Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation

  Leilei Wei, Yinnian He, Xindong Zhang

  2018-05-05

  DOI:10.4208/aamm.2013.m220

  41748 3170 pp. 510-527

• An Efficient and Unconditionally Convergent Galerkin Finite Element Method for the Nonlinear Schrödinger Equation in High Dimensions

  Yue Cheng, Tingchun Wang, Boling Guo

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0033

  63078 4106 pp. 735-760

• A Discontinuous Galerkin Method with Minimal Dissipation for a Finite-Strain Plate

  Qiao Kang, Yan Xu

  2021-06-08

  DOI:10.4208/aamm.OA-2020-0388

  45810 3271 pp. 1027-1063

• A Study of Preconditioned Jacobian-Free Newton-Krylov Discontinuous Galerkin Method for Compressible Flows on 3D Hexahedral Grids

  Wanglong Qin, Junwei Cai, Hongqiang Lu, Peter K. Jimack, M. A. Walkley

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0004

  46724 4819 pp. 261-274 Open Access

• The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems

  Di Li, Min Liu, Xiliang Lu, Jerry Zhijian Yang

  2022-10-24

  DOI:10.4208/aamm.OA-2022-0008

  45215 4042 pp. 30-48