Influence of periodically fluctuating material parameters on the stability of explicit high-order spectral element methods

DOI10.1016/j.jcp.2018.07.002zbMath1416.65306OpenAlexW2811076943MaRDI QIDQ2311628

Régis Cottereau, Ruben Sevilla

Publication date: 4 July 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://cronfa.swan.ac.uk/Record/cronfa40915/Download/0040915-06072018083920.pdf

zbMATH Keywords

stabilityspectral element methodheterogeneous mediahigh-orderexplicit time integration

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (1)

Mass lumping techniques in the spectral element method: on the equivalence of the row-sum, nodal quadrature, and diagonal scaling methods

Uses Software

• SPEED
• RegSEM

Cites Work

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• Wave propagation algorithms for multidimensional hyperbolic systems
• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• Spectral element method for acoustic wave simulation in heterogeneous media
• SPEED: SPectral Elements in Elastodynamics with Discontinuous Galerkin: a non-conforming approach for 3D multi-scale problems
• The spectral element method for elastic wave equations—application to 2-D and 3-D seismic problems
• Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation
• Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes

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