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  • Numerical Approximation of Oscillatory Solutions of Hyperbolic-Elliptic Systems of Conservation Laws by Multiresolution Schemes

    Stefan Berres, Raimund Bürger, Alice Kozakevicius
    2018-08-10
    DOI:10.4208/aamm.09-m0935
    40361 4163 pp. 581-614
  • Error Estimates of Mixed Methods for Optimal Control Problems Governed by General Elliptic Equations

    Tianliang Hou, Li Li
    2021-07-01
    DOI:10.4208/aamm.2014.m807
    43489 3914 pp. 1050-1071
  • $(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations

    Yiying Wang, Yongkui Zou, Shimin Chai
    2020-12-21
    DOI:10.4208/aamm.OA-2020-0020
    47914 3259 pp. 554-568
  • An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis

    Yirang Yuan, Changfeng Li, Huailing Song
    2025-03-14
    DOI:10.4208/aamm.OA-2022-0207
    11559 902 pp. 706-731
  • A Family of Methods of the DG-Morley Type for Polyharmonic Equations

    Vitoriano Ruas, José Henrique Carneiro De Araujo
    2018-11-01
    DOI:10.4208/aamm.09-m0953
    39733 3760 pp. 303-332
  • Balanced Truncation Based on Generalized Multiscale Finite Element Method for the Parameter-Dependent Elliptic Problem

    Shan Jiang, Anastasiya Protasov, Meiling Sun
    2021-07-01
    DOI:10.4208/aamm.OA-2018-0073
    46417 3977 pp. 1527-1548
  • An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations

    Jinda Yang, Kai Zhang, Haiming Song, Ting Cheng
    2020-01-17
    DOI:10.4208/aamm.OA-2018-0198
    48570 3368 pp. 336-361
  • A Two-Level Method for Pressure Projection Stabilized P1 Nonconforming Approximation of the Semi-Linear Elliptic Equations

    Sufang Zhang, Hongxia Yan, Hongen Jia
    2018-05-05
    DOI:10.4208/aamm.2014.m842
    40949 3186 pp. 386-398
  • 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
  • A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media

    Sergiy Reutskiy, Ji Lin, Bin Zheng, Jiyou Tong
    2020-12-21
    DOI:10.4208/aamm.OA-2020-0052
    47705 3185 pp. 590-618
  • A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints

    Jinling Zhang, Yanping Chen, Yunqing Huang, Fenglin Huang
    2022-01-24
    DOI:10.4208/aamm.OA-2021-0144
    41202 3418 pp. 469-493
  • The Random Feature Method for Elliptic Eigenvalue Problems

    Kexiang Xiong, Zhen Zhang, Jingrun Chen, Yixin Luo
    2025-05-12
    DOI:10.4208/aamm.OA-2023-0312
    8799 601 pp. 1133-1170
  • Equivalent a Posteriori Error Estimators for Semilinear Elliptic Equations with Dirac Right-Hand Side

    Wenting Mao, Yanping Chen, Haitao Leng
    2020-04-10
    DOI:10.4208/aamm.OA-2019-0329
    45359 3361 pp. 835-848
  • Heat Convection Between Two Confocal Elliptic Tubes Placed at Different Orientations

    F. M. Mahfouz, H. M. Badr
    2018-08-10
    DOI:10.4208/aamm.09-m0930
    39989 4031 pp. 639-663
  • A Weak Formulation for Solving the Elliptic Interface Problems with Imperfect Contact

    Liqun Wang, Songming Hou, Liwei Shi
    2018-05-05
    DOI:10.4208/aamm.2015.m1236
    45192 3082 pp. 1189-1205
  • Coefficient Jump-Independent Approximation of the Conforming and Nonconforming Finite Element Solutions

    Shangyou Zhang
    2018-05-05
    DOI:10.4208/aamm.2015.m931
    43694 3065 pp. 722-736
  • Numerical Study of Geometric Multigrid Methods on CPU-GPU Heterogeneous Computers

    Chunsheng Feng, Shi Shu, Jinchao Xu, Chen-Song Zhang
    2014-06-01
    DOI:10.4208/aamm.2013.m87
    51028 6186 pp. 1-23
  • A Comparative Study on Polynomial Expansion Method and Polynomial Method of Particular Solutions

    Jen-Yi Chang, Ru-Yun Chen, Chia-Cheng Tsai
    2022-02-25
    DOI:10.4208/aamm.OA-2020-0385
    49263 3400 pp. 577-595
  • 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
  • Error Estimates and Superconvergence of Mixed Finite Element Methods for Optimal Control Problems with Low Regularity

    Yanping Chen, Tianliang Hou, Weishan Zheng
    2021-07-01
    DOI:10.4208/aamm.12-12S05
    43383 4191 pp. 751-768
  • Unified a Priori Error Estimate and a Posteriori Error Estimate of CIP-FEM for Elliptic Equations

    Jianye Wang, Rui Ma
    2018-05-05
    DOI:10.4208/aamm.2014.m834
    42292 3051 pp. 517-535
  • Restricted Additive Schwarz Preconditioner for Elliptic Equations with Jump Coefficients

    Zhiyong Liu, Yinnian He
    2021-07-01
    DOI:10.4208/aamm.2014.m669
    43742 4224 pp. 1072-1083
  • Pointwise Goal-Oriented a Posteriori Error Estimates Using Dual Problems with Dirac Delta Source Terms for Linear Elliptic Problems

    Fei Li, Jingang Liu, Nianyu Yi, Liuqiang Zhong
    2026-02-01
    DOI:10.4208/aamm.OA-2023-0186
    5298 457 pp. 222-241
  • Equivalent a Posteriori Error Estimator of Spectral Approximation for Control Problems with Integral Control-State Constraints in One Dimension

    Fenglin Huang, Yanping Chen, Xiulian Shi
    2018-05-05
    DOI:10.4208/aamm.2014.m591
    40552 3113 pp. 464-484
  • Optimal Bicubic Finite Volume Methods on Quadrilateral Meshes

    Yanli Chen, Yonghai Li
    2018-05-05
    DOI:10.4208/aamm.2013.m401
    41962 3152 pp. 454-471
  • An Iterative Two-Grid Method of a Finite Element PML Approximation for the Two Dimensional Maxwell Problem

    Chunmei Liu, Shi Shu, Yunqing Huang, Liuqiang Zhong, Junxian Wang
    2018-08-10
    DOI:10.4208/aamm.10-m11166
    42501 4230 pp. 175-189
  • 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
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