Mathematical aspects of variational boundary integral equations for time dependent wave propagation

DOI10.1216/JIE-2017-29-1-137zbMath1364.35187MaRDI QIDQ518945

Jerónimo Rodríguez, Patrick Joly

Publication date: 4 April 2017

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1490583474

zbMATH Keywords

stabilitycoercivityretarded potentialsBEM-FEM couplingtransient wave equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for first-order hyperbolic systems (35L45) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (17)

A New Approach to Space-Time Boundary Integral Equations for the Wave Equation ⋮ Boundary element methods. Abstracts from the workshop held February 2--8, 2020 ⋮ \(hp\)-version time domain boundary elements for the wave equation on quasi-uniform meshes ⋮ Towards coercive boundary element methods for the wave equation ⋮ A space-time energetic BIE method for 3D elastodynamics: the Dirichlet case ⋮ Time domain boundary elements for elastodynamic contact ⋮ 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 ⋮ A residual a posteriori error estimate for the time-domain boundary element method ⋮ On the space-time discretization of variational retarded potential boundary integral equations ⋮ A generalized inf-sup stable variational formulation for the wave equation ⋮ On superconvergence of Runge-Kutta convolution quadrature for the wave equation ⋮ Space-Time Discretized Retarded Potential Boundary Integral Operators: Quadrature for Collocation Methods ⋮ A time-dependent FEM-BEM coupling method for fluid-structure interaction in \(3d\) ⋮ Time domain boundary elements for dynamic contact problems ⋮ Error estimates for FE-BE coupling of scattering of waves in the time domain ⋮ Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation

This page was built for publication: Mathematical aspects of variational boundary integral equations for time dependent wave propagation