khp-adaptive spectral projection based discontinuous Galerkin method for the numerical solution of wave equations with memory

被引：1

作者：

Giani, Stefano ^{[1
]}

Engstroem, Christian ^{[2
,3
]}

Grubisic, Luka ^{[4
]}

机构：

[1] Univ Durham, Dept Engn, South Rd, Durham DH1 3LE, England

[2] Linnaeus Univ, Dept Math, Vaxjo, Sweden

[3] Lund Univ, Ctr Math Sci, Lund, Sweden

[4] Univ Zagreb, Fac Sci, Dept Math, Zagreb, Angola

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 429卷

基金：

瑞典研究理事会;

关键词：

Automatic adaptivity; Inverse Laplace transform; Spectral projection; Wave equation with delay; Discontinuous Galerkin method; FINITE-ELEMENT APPROXIMATIONS; A-POSTERIORI; EIGENVALUE; EXPLICIT;

D O I：

10.1016/j.cam.2023.115212

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present an adaptive spectral projection based finite element method to numerically approximate the solution of the wave equation with memory. The adaptivity is not restricted to the mesh (hp-adaptivity), but it is also applied to the size of the computed spectrum (k-adaptivity). The meshes are refined using a residual based error estimator, while the size of the computed spectrum is adapted using the L2 norm of the error of the projected data. We show that the approach can be very efficient and accurate. (c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页数：19

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