Semi-algebraic mode analysis for finite element discretisations of the heat equation
Habibi, N. ; Mesforoush, A. ; Lorenz, F.J.G. (Universidad de Zaragoza) ; Rodrigo, C. (Universidad de Zaragoza)
Resumen: In this work, a semialgebraic mode analysis (SAMA) is proposed for investigating the convergence of a multigrid waveform relaxation method applied to the Finite Element (FE) discretization of the heat equation in two and three dimensions. This analysis for finite element methods is more involved and more general than that for Finite Difference (FD) discretizations, since mass matrix must be considered. The proposed analysis results in a very useful tool to study the behaviour of the multigrid waveform relaxation method depending on the parameters of the problem.
Idioma: Inglés
DOI: 10.22034/cmde.2019.32018.1549
Año: 2021
Publicado en: Computational methods for differential equations 9, 1 (2021), 146-158
ISSN: 2345-3982
Tipo y forma: Article (Published version)
Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes.
Exportado de SIDERAL (2025-10-17-14:17:13)
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Idioma: Inglés
DOI: 10.22034/cmde.2019.32018.1549
Año: 2021
Publicado en: Computational methods for differential equations 9, 1 (2021), 146-158
ISSN: 2345-3982
Tipo y forma: Article (Published version)
Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. Exportado de SIDERAL (2025-10-17-14:17:13)
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Record created 2025-02-21, last modified 2025-10-17