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khp-adaptive spectral projection based discontinuous Galerkin method for the numerical solution of wave equations with memory
University of Durham, UK.ORCID iD: 0000-0002-8190-9958
Linnaeus University, Faculty of Technology, Department of Mathematics. Lund University, Sweden.ORCID iD: 0000-0002-1027-3825
University of Zagreb, Croatia.
2023 (English)In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 429, article id 115212Article in journal (Refereed) Published
Abstract [en]

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 (-adaptivity), but it is also applied to the size of the computed spectrum (-adaptivity). The meshes are refined using a residual based error estimator, while the size of the computed spectrum is adapted using the  norm of the error of the projected data. We show that the approach can be very efficient and accurate.

Place, publisher, year, edition, pages
Elsevier, 2023. Vol. 429, article id 115212
Keywords [en]
Automatic adaptivity, Inverse Laplace transform, Spectral projection, Wave equation with delay, Discontinuous Galerkin method
National Category
Computational Mathematics
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-120748DOI: 10.1016/j.cam.2023.115212ISI: 000973168600001Scopus ID: 2-s2.0-85151265664OAI: oai:DiVA.org:lnu-120748DiVA, id: diva2:1757270
Funder
Swedish Research Council, 2021-04537Available from: 2023-05-16 Created: 2023-05-16 Last updated: 2023-05-25Bibliographically approved

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Engström, Christian

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