Aim of this paper is studying an effective hybrid finite element - spectral element method for the approximation of acoustic and elastic wave equations. We focus our analysis on a coupling algorithm based on the `relaxation' of the continuity condition on the interface between regions where the two different methods are used, namely the mortar projection method. We prove that this method enjoys optimal accuracy, and illustrate its practical implementation. It is well known that the use of spectral elements for the numerical treatment of wave propagation problems brings a significant reduction in the number of grid-points to be used. On the other hand, the finite element method allows a greater flexibility in dealing with problems posed on highly irregular domains and/or involving complex constitutive laws. A few applications to 2D acoustic and elastic problems illustrate these features.

Hybrid finite element - spectral element approximation of wave propagation problems

QUARTERONI, ALFIO MARIA
1997-01-01

Abstract

Aim of this paper is studying an effective hybrid finite element - spectral element method for the approximation of acoustic and elastic wave equations. We focus our analysis on a coupling algorithm based on the `relaxation' of the continuity condition on the interface between regions where the two different methods are used, namely the mortar projection method. We prove that this method enjoys optimal accuracy, and illustrate its practical implementation. It is well known that the use of spectral elements for the numerical treatment of wave propagation problems brings a significant reduction in the number of grid-points to be used. On the other hand, the finite element method allows a greater flexibility in dealing with problems posed on highly irregular domains and/or involving complex constitutive laws. A few applications to 2D acoustic and elastic problems illustrate these features.
1997
Acoustic waves, Algorithms, Approximation theory, Interfaces (materials), Problem solving, Spectrum analysis, Theorem proving Mortar projection method, Spectral element method (SEM) Finite element method
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/668757
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