A space-time discontinuous Galerkin method for the elastic wave equation

被引：10
|
作者：
Antonietti, Paola F. [1 ]
Mazzieri, Ilario [1 ]
Migliorini, Francesco [1 ]
机构：
[1] Politecn Milan, Dipartimento Matemat, Lab Modeling & Sci Comp, MOX, Piazza Leonardo da Vinci 32, I-20133 Milan, Italy
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2020年 / 419卷
关键词：
Discontinuous Galerkin methods; Wave equation; Space-time finite elements; Stability and convergence analysis; FINITE-ELEMENT METHODS; ELASTODYNAMICS; FORMULATIONS; SEMIIMPLICIT; MESHES; APPROXIMATIONS; STABILITY; SCHEMES;
D O I：
10.1016/j.jcp.2020.109685
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this work we present a new high order space-time discretization method based on a discontinuous Galerkin paradigm for the second order visco-elastodynamics equation. After introducing the method, we show that the resulting space-time discontinuous Galerkin formulation is well-posed, stable and retains optimal rate of convergence with respect to the discretization parameters, namely the mesh size and the polynomial approximation degree. A set of two and three-dimensional numerical experiments confirms the theoretical bounds. (C) 2020 Elsevier Inc. All rights reserved.
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页数：26
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