Space-time enriched finite elements for elastodynamic wave propagation

被引：1

作者：

Quaine, Kieran ^{[1
,2
,3
,4
]}

Gimperlein, Heiko ^{[1
,5
]}

机构：

[1] Leopold Franzens Univ Innsbruck, Engn Math, Technikerstr 13, A-6020 Innsbruck, Austria

[2] Univ Edinburgh, Maxwell Inst Math Sci, James Clerk Maxwell Bldg, Edinburgh EH9 3FD, Scotland

[3] Univ Edinburgh, Sch Math, James Clerk Maxwell Bldg, Edinburgh EH9 3FD, Scotland

[4] FEN Res GmbH, Technikerstr 1-3, A-6020 Innsbruck, Austria

[5] Univ Parma, Dept Math Phys & Comp Sci, Parco Area Sci 53-A, I-43124 Parma, Italy

来源：

ENGINEERING WITH COMPUTERS | 2023年 / 39卷 / 06期

基金：

英国工程与自然科学研究理事会;

关键词：

Generalised finite-element methods; Space-time methods; Elastodynamics; POSTERIORI ERROR ESTIMATE; PARTITION; SCATTERING;

D O I：

10.1007/s00366-023-01874-z

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This article investigates a generalised finite-element method for time-dependent elastic wave propagation, based on plane-wave enrichments of the approximation space. The enrichment in both space and time allows good approximation of oscillatory solutions even on coarse mesh grids and for large time steps. The proposed method is based on a discontinuous Galerkin discretisation in time and conforming finite elements in space. Numerical experiments study the stability and accuracy and confirm significant reductions of the computational effort required to achieve engineering accuracy.

引用

页码：4077 / 4091

页数：15

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