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)