A new and improved analysis of the time domain boundary integral operators for the acoustic wave equation

DOI10.1216/JIE-2017-29-1-107zbMath1361.65075arXiv1512.02919MaRDI QIDQ518943

Francisco-Javier Sayas, Tonatiuh Sánchez-Vizuet, Matthew E. Hassell, Tianyu Qiu

Publication date: 4 April 2017

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

Full work available at URL: https://arxiv.org/abs/1512.02919

zbMATH Keywords

wave equationHilbert spacesemi-discretizationsabstract evolution equationsretarded boundary integral equations

Mathematics Subject Classification ID

Wave equation (35L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical solutions to abstract evolution equations (65J08) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (14)

Stability analysis and discretization of \(\mathbf{A}\)-\(\Phi\) time domain integral equations for multiscale electromagnetics ⋮ A New Approach to Space-Time Boundary Integral Equations for the Wave Equation ⋮ Runge-Kutta approximation for \(C_0\)-semigroups in the graph norm with applications to time domain boundary integral equations ⋮ On the propagation of acoustic waves in a thermo-electro-magneto-elastic solid ⋮ Time domain boundary integral equations and convolution quadrature for scattering by composite media ⋮ Analysis of Transient Acoustic-Elastic Interaction in an Unbounded Structure ⋮ Towards coercive boundary element methods for the wave equation ⋮ Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains ⋮ A high-order algorithm for time-domain scattering in three dimensions ⋮ Time-Domain Boundary Integral Methods in Linear Thermoelasticity ⋮ Evolution of a semidiscrete system modeling the scattering of acoustic waves by a piezoelectric solid ⋮ A fully discrete BEM-FEM scheme for transient acoustic waves ⋮ Time-domain boundary integral equation modeling of heat transmission problems ⋮ Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation

This page was built for publication: A new and improved analysis of the time domain boundary integral operators for the acoustic wave equation