On the energetic Galerkin boundary element method applied to interior wave propagation problems

DOI10.1016/j.cam.2010.02.011zbMath1209.65094OpenAlexW2093117377MaRDI QIDQ629394

Mauro Diligenti, Alessandra Aimi, Chiara Guardasoni

Publication date: 9 March 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.02.011

zbMATH Keywords

numerical resultswave propagationboundary integral equationenergetic Galerkin boundary element method

Mathematics Subject Classification ID

Wave equation (35L05) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (13)

A New Approach to Space-Time Boundary Integral Equations for the Wave Equation ⋮ A space-time BIE method for 2D wave equation problems with mixed boundary conditions ⋮ Neumann exterior wave propagation problems: computational aspects of 3D energetic Galerkin BEM ⋮ Application of energetic BEM to 2D elastodynamic soft scattering problems ⋮ Conservative finite difference schemes for the generalized Zakharov-Kuznetsov equations ⋮ Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains ⋮ A residual a posteriori error estimate for the time-domain boundary element method ⋮ Solution of Lyapunov and Riccati equations in a multiprocessor environment ⋮ On the stability of direct time-domain boundary element methods for elastodynamics ⋮ A stable 3D energetic Galerkin BEM approach for wave propagation interior problems ⋮ Restriction matrices in space-time energetic BEM ⋮ Stability of boundary element methods for the two dimensional wave equation in time domain revisited ⋮ A new boundary element integration strategy for retarded potential boundary integral equations

Cites Work

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• Numerical integration of functions with boundary singularities
• A 2d hypersingular time-domain traction BEM for transient elastodynamic crack analysis
• On the Spectrum of Volume Integral Operators in Acoustic Scattering
• A new space-time energetic formulation for wave propagation analysis in layered media by BEMs
• An energy approach to space-time Galerkin BEM for wave propagation problems

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