A LOCAL DISCONTINUOUS GALERKIN METHOD BASED ON VARIATIONAL STRUCTURE

被引：1
|
作者：
Aimoto, Yoshifumi [1 ]
Matsuo, Takayasu [1 ]
Miyatake, Yuto [1 ]
机构：
[1] Univ Tokyo, Dept Math Informat, Bunkyo Ku, Tokyo 1130033, Japan
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2015年 / 8卷 / 05期
基金：
日本学术振兴会;
关键词：
Discontinuous Galerkin method; variational structure; structure-preserving; conservative; dissipative; ENERGY-CONSERVATION; EQUATION; SCHEMES;
D O I：
10.3934/dcdss.2015.8.817
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a special variant of the local discontinuous Galerkin (LDG) method for time-dependent partial differential equations with certain variational structures and associated conservation or dissipation properties. The method provides a way to construct fully-discrete LDG schemes that retain discrete counterparts of the conservation or dissipation properties. Numerical results confirm the accuracy and effectiveness of the method.
引用
收藏
页码：817 / 832
页数：16
相关论文
共 50 条
  • [41] A Local Discontinuous Galerkin Method for the Complex Modified KdV Equation
    Li, Wenting
    Jiang, Kun
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 631 - 634
  • [42] Local discontinuous Galerkin method for a nonlocal viscous conservation laws
    Li, Can
    Liu, Shuming
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2021, 93 (01) : 197 - 219
  • [43] DISCONTINUOUS GALERKIN METHOD FOR THE FLUID-STRUCTURE INTERACTION
    Feistauer, Miloslav
    Balazsova, Monika
    Horacek, Jaromir
    ALGORITMY 2020: 21ST CONFERENCE ON SCIENTIFIC COMPUTING, 2020, : 61 - 70
  • [44] RESIDUAL-BASED VARIATIONAL MULTISCALE MODELING IN A DISCONTINUOUS GALERKIN FRAMEWORK
    Stoter, Stein K. F.
    Turteltaub, Sergio R.
    Hulshoff, Steven J.
    Schillinger, Dominik
    MULTISCALE MODELING & SIMULATION, 2018, 16 (03): : 1333 - 1364
  • [45] Local discontinuous Galerkin schemes for a nonlinear variational wave quation modelling liquid crystals
    Aursand, P.
    Koley, U.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 317 : 478 - 499
  • [46] A local discontinuous Galerkin method for time-fractional diffusion equation with discontinuous coefficient
    Huang, Chaobao
    An, Na
    Yu, Xijun
    APPLIED NUMERICAL MATHEMATICS, 2020, 151 : 367 - 379
  • [47] The Discontinuous Galerkin Material Point Method for variational hyperelastic-plastic solids
    Renaud, Adrien
    Heuze, Thomas
    Stainier, Laurent
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 365
  • [48] Variational analysis of the discontinuous Galerkin time-stepping method for parabolic equations
    Saito, Norikazu
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 41 (02) : 1267 - 1292
  • [49] An operator-based local discontinuous Galerkin method compatible with the BSSN formulation of the Einstein equations
    Miller, Jonah M.
    Schnetter, Erik
    CLASSICAL AND QUANTUM GRAVITY, 2017, 34 (01)
  • [50] A Reduced Local Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity
    Huang, Xuehai
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
12345