A New Approach to Space-Time Boundary Integral Equations for the Wave Equation

DOI10.1137/21M1420034zbMath1484.35145arXiv2105.06800OpenAlexW3159995363MaRDI QIDQ5037718

Carolina Urzúa-Torres, Olaf Steinbach

Publication date: 4 March 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.06800

zbMATH Keywords

coercivityintegral equationsretarded potentialstransient wave equationloss of regularity in timenorm gap

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integral representations of solutions to PDEs (35C15) Wave equation (35L05) Integral operators (45P05) Integral operators (47G10)

Related Items (5)

Towards coercive boundary element methods for the wave equation ⋮ Time domain boundary elements for elastodynamic contact ⋮ At the interface between semiclassical analysis and numerical analysis of wave scattering problems. Abstracts from the workshop held September 25 -- October 1, 2022 ⋮ Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains ⋮ Space-time discontinuous Galerkin methods for weak solutions of hyperbolic linear symmetric Friedrichs systems

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