Dispersion analysis of triangle-based spectral element methods for elastic wave propagation

DOI10.1007/s11075-012-9592-8zbMath1343.74050OpenAlexW4297981294MaRDI QIDQ715141

Francesca Rapetti, Ilario Mazzieri

Publication date: 1 November 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-012-9592-8

zbMATH Keywords

elastic wave equationtriangular gridsspectral element methodsdispersion/dissipation analysis

Mathematics Subject Classification ID

Spectral and related methods applied to problems in solid mechanics (74S25) Linear waves in solid mechanics (74J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (12)

Dispersion-dissipation analysis of triangular numerical-flux-based discontinuous Galerkin method for elastic wave equations ⋮ Higher-order triangular spectral element method with optimized cubature points for seismic wavefield modeling ⋮ Dispersion Analysis of CIP-FEM for the Helmholtz Equation ⋮ Dispersion analysis of triangle-based Whitney element methods for electromagnetic wave propagation ⋮ Numerical modeling of seismic waves by discontinuous spectral element methods ⋮ Evaluation of the Spectral Finite Element Method with the Theory of Phononic Crystals ⋮ High-order discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes ⋮ Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics ⋮ Spectral Element Methods on Simplicial Meshes ⋮ High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation ⋮ Isogeometric numerical dispersion analysis for two-dimensional elastic wave propagation ⋮ Analysis of a high-order space and time discontinuous Galerkin method for elastodynamic equations. Application to 3D wave propagation

Uses Software

• LEBFEK

Cites Work

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• Spectral element methods on unstructured meshes: Which interpolation points?
• Spectral element methods on unstructured meshes: comparisons and recent advances
• An Algorithm for Computing Fekete Points in the Triangle
• Polynomial approximation of some singular functions
• The spectral element method for elastic wave equations—application to 2-D and 3-D seismic problems
• Spectral/hp Element Methods for Computational Fluid Dynamics

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