Search Results

• The Adaptive Immersed Finite Element Method for the Variational Discretization of the Elliptic Optimal Control Problem with Interface

  Yanzhen Chang, Mengxue Fan, Liang Ge

  2026-04-01

  DOI:10.4208/amm.OA-2024-0084

  5027 208 pp. 700-723

• A First-Order Linear Energy Stable Scheme for the Cahn–Hilliard Equation with Dynamic Boundary Conditions Under the Effect of Hyperbolic Relaxation

  Minghui Yu, Rui Chen

  2026-02-06

  DOI:10.4208/aamm.OA-2025-0180

  1063 106 pp. 1616-1648

• A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

  Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li

  2026-08-01

  DOI:10.4208/aamm.OA-2023-0307

  1026 84 pp. 1155-1188

• Robust and Globally Divergence-Free Weak Galerkin Methods for Oseen Equations

  Lingxia Kong, Ya Min, Minfu Feng, Xiaoyu Fu

  2026-04-01

  DOI:0.4208/aamm.OA-2024-0089

  5020 247 pp. 411-433

• Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow

  Chao Lu, Qinghua Li, Tong Zhang

  2026-04-01

  DOI:10.4208/aamm.OA-2023-0135

  5255 260 pp. 601-641

• Stabilized Finite Element Methods for Biot's Consolidation Problems Using Equal Order Elements

  Gang Chen, Minfu Feng

  2018-09-17

  DOI:10.4208/aamm.2016.m1182

  46012 5509 pp. 77-99

• An EDG Method for Distributed Optimal Control of Elliptic PDEs

  Xiao Zhang, Yangwen Zhang, John Singler

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0223

  47147 3622 pp. 797-818

• Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations

  Xiaowei Bi, Demin Liu

  2024-11-01

  DOI:10.4208/aamm.OA-2022-0256

  15449 1424 pp. 1519-1548

• Superconvergence Error Estimate of the Bilinear-Constant Scheme for the Stokes Equations with Damping

  Huaijun Yang, Lele Wang, Xin Liao

  2024-11-01

  DOI:10.4208/aamm.OA-2022-0182

  15465 1434 pp. 1502-1518

• Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations

  Lina Ma, Cheng Wang, Zeyu Xia

  2024-12-31

  DOI:10.4208/aamm.OA-2023-0118

  13391 1255 pp. 633-662

• A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

  Eric Ngondiep

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0320

  11395 868 pp. 956-988

• Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations

  Junru Guo, Demin Liu

  2025-07-19

  DOI:10.4208/aamm.OA-2023-0238

  8143 582 pp. 1509-1549

• Discontinuous Galerkin Methods for Semilinear Elliptic Boundary Value Problem

  Jiajun Zhan, Liuqiang Zhong, Jie Peng

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0257

  41172 3104 pp. 450-467

• Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations

  Xu Wang, Weidong Zhao

  2023-02-24

  DOI:10.4208/aamm.OA-2022-0073

  39188 3451 pp. 737-768

• Two-Grid Finite Volume Element Method Combined with Crank-Nicolson Scheme for Semilinear Parabolic Equations

  Yuzhi Lou, Chuanjun Chen, Guanyu Xue

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0064

  44620 3269 pp. 892-913

• A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential

  Danxia Wang, Xingxing Wang, Hongen Jia

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0123

  44807 3286 pp. 867-891

• The Plane Wave Methods for the Time-Harmonic Elastic Wave Problems with the Complex Valued Coefficients

  Long Yuan, Shuai Xi, Binlin Zhang

  2021-06-08

  DOI:10.4208/aamm.OA-2020-0350

  44257 3217 pp. 1169-1202

• 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

• The Crank-Nicolson Hermite Cubic Orthogonal Spline Collocation Method for the Heat Equation with Nonlocal Boundary Conditions

  B. Bialecki, G. Fairweather, J. C. Lόpez-Marcos

  2021-01-13

  DOI:10.4208/aamm.13-13S03

  43216 4380 pp. 442-460

• 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

• High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domain

  Xuenan Zhao, Jing An, Juan Zhang

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0276

  1033 83 pp. 1189-1209

• On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

  Pouria Assari, Mehdi Dehghan

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0050

  44248 3323 pp. 807-837

• Optimal Error Estimate of the Penalty FEM for the Stationary Conduction-Convection Problems

  Yanfang Lei, Hongtao Wang, Zhiyong Si

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0103

  43239 2970 pp. 767-784

• Error Estimates for Finite Element Approximation to Elliptic Optimal Control Problems with Boundary Observations in $H^{-\frac{1}{2}}(\Gamma)$

  Xuelin Tao

  2024-07-22

  DOI:10.4208/aamm.OA-2022-0172

  26065 2384 pp. 1152-1175

• 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

• Error Analysis and Adaptive Methods of Least Squares Nonconforming Finite Element for the Transport Equations

  Huipo Liu, Shuanghu Wang, Hongbin Han

  2018-05-05

  DOI:10.4208/aamm.2015.m1104

  42801 3005 pp. 871-886

• A High Accuracy Numerical Method and Error Analysis for Fourth Order Elliptic Eigenvalue Problems in Circular Domain

  Yixiao Ge, Ting Tan, Jing An

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0068

  46385 3392 pp. 815-834