期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 429, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.cam.2023.115212
关键词
Automatic adaptivity; Inverse Laplace transform; Spectral projection; Wave equation with delay; Discontinuous Galerkin method
In this paper, we propose an adaptive spectral projection based finite element method to approximate the solution of the wave equation with memory. The adaptivity is not only applied to the mesh, but also to the size of the computed spectrum. The approach has been shown to be efficient and accurate.
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/).
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