An energy approach to space-time Galerkin BEM for wave propagation problems
From MaRDI portal
Publication:3649927
DOI10.1002/nme.2660zbMath1176.74203OpenAlexW2063288147MaRDI QIDQ3649927
Ilario Mazzieri, Stefano Panizzi, Mauro Diligenti, Alessandra Aimi, Chiara Guardasoni
Publication date: 7 December 2009
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.2660
wave propagationweak formulationboundary integral equationenergy identityGalerkin boundary element method
Boundary element methods applied to problems in solid mechanics (74S15) Linear waves in solid mechanics (74J05)
Related Items (33)
Highly accurate quadrature schemes for singular integrals in energetic BEM applied to elastodynamics ⋮ A New Approach to Space-Time Boundary Integral Equations for the Wave Equation ⋮ Energetic BEM for the numerical analysis of 2D Dirichlet damped wave propagation exterior problems ⋮ Partially pivoted ACA based acceleration of the energetic BEM for time-domain acoustic and elastic waves exterior problems ⋮ Neumann exterior wave propagation problems: computational aspects of 3D energetic Galerkin BEM ⋮ \(hp\)-version time domain boundary elements for the wave equation on quasi-uniform meshes ⋮ Application of energetic BEM to 2D elastodynamic soft scattering problems ⋮ On the discretization and application of two space-time boundary integral equations for 3D wave propagation problems in unbounded domains ⋮ Towards coercive boundary element methods for the wave equation ⋮ A space-time energetic BIE method for 3D elastodynamics: the Dirichlet case ⋮ An enhancement of the fast time-domain boundary element method for the three-dimensional wave equation ⋮ Higher-order time domain boundary elements for elastodynamics: graded meshes and \textit{hp} versions ⋮ On the energetic Galerkin boundary element method applied to interior wave propagation problems ⋮ Lubich convolution quadratures and their application to problems described by space-time BIEs ⋮ A novel space-time generalized FDM for transient heat conduction problems ⋮ A residual a posteriori error estimate for the time-domain boundary element method ⋮ Numerical integration schemes for space-time hypersingular integrals in energetic Galerkin BEM ⋮ Time domain boundary element formulation for partially saturated poroelasticity ⋮ On the space-time discretization of variational retarded potential boundary integral equations ⋮ A generalized inf-sup stable variational formulation for the wave equation ⋮ Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions ⋮ Recent advances on the fast multipole accelerated boundary element method for 3D time-harmonic elastodynamics ⋮ Fast convolution quadrature for the wave equation in three dimensions ⋮ Wavelets and convolution quadrature for the efficient solution of a 2D space-time BIE for the wave equation ⋮ On a preconditioner for time domain boundary element methods ⋮ A stable 3D energetic Galerkin BEM approach for wave propagation interior problems ⋮ Restriction matrices in space-time energetic BEM ⋮ A time-dependent FEM-BEM coupling method for fluid-structure interaction in \(3d\) ⋮ BEM‐FEM coupling for the 1D Klein–Gordon equation ⋮ The wave-matching boundary integral equation -- an energy approach to Galerkin BEM for acoustic wave propagation problems ⋮ Wave propagation in elastic trusses: an approach via retarded potentials ⋮ Error estimates for FE-BE coupling of scattering of waves in the time domain ⋮ A new boundary element integration strategy for retarded potential boundary integral equations
Cites Work
- A boundary element procedure for transient wave propagations in two- dimensional isotropic elastic media
- Convolution quadrature and discretized operational calculus. I
- Convolution quadrature and discretized operational calculus. II
- A variational approach to boundary element elastodynamic analysis and extension to multidomain problems
- On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
- Numerical integration of functions with boundary singularities
- A comparative study of three boundary element approaches to calculate the transient response of viscoelastic solids with unbounded domains
- A wave problem in a half-space with a unilateral constraint at the boundary
- On the eivenvalues of an integral equation arising in the theory of band-limited signals
- A new space-time energetic formulation for wave propagation analysis in layered media by BEMs
- Some comments on Fourier analysis, uncertainty and modeling
- Formulation variationnelle pour le calcul de la diffraction d'une onde acoustique par une surface rigide
- Elastodynamics by BEM: a new direct formulation
- A Galerkin BEM for transient acoustic scattering by an absorbing obstacle
- Formulation variationnelle espace‐temps pour le calcul par potentiel retardé de la diffraction d'une onde acoustique (I)
- A variational boundary integral equation method for an elastodynamic antiplane crack
- On the transient acoustic scattering by a flat object
- Boundary equations in dynamic problems of the theory of elasticity
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: An energy approach to space-time Galerkin BEM for wave propagation problems