Weak imposition of boundary conditions for the boundary element method in the time domain

In this article we present a boundary element formulation for time dependent elastodynamic wave propagation in 2D interior domains with inhomogeneous boundary conditions. These are imposed in a weak sense, allowing the unified implementation of a wide range of boundary data, from pure Dirichlet to p...

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Bibliographic Details
Published inApplied numerical mathematics Vol. 200; pp. 18 - 42
Main Authors Aimi, A., Di Credico, G., Gimperlein, H., Guardasoni, C., Speroni, G.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.06.2024
Subjects
2D elastodynamics
Energetic boundary element method
Mixed boundary problems
2D elastodynamics
Energetic boundary element method
Mixed boundary problems
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Summary:In this article we present a boundary element formulation for time dependent elastodynamic wave propagation in 2D interior domains with inhomogeneous boundary conditions. These are imposed in a weak sense, allowing the unified implementation of a wide range of boundary data, from pure Dirichlet to pure Neumann and mixed ones. Numerical experiments indicate that the considered approach is effective and reliable. We discuss several numerical results which, compared to those obtained by the strong imposition of the boundary data, highlight the equivalence in the behavior of the error.
ISSN:0168-9274
1873-5460
DOI:10.1016/j.apnum.2023.05.011