Towards Space‐Time Boundary Element Methods for Retarded Potential Integral Equations

Abstract: A space‐time discretization scheme for time domain boundary integral equations of the 3d wave equation, so‐called retarded potential boundary integral equations, is proposed. The principal idea of this approach is to treat time like an additional spatial coordinate. This leads to discretization methods in 3+1 dimensions based on simplex meshes of the lateral boundary of the space‐time cylinder. We discuss an explicit representation of the integral operators of the wave equation appropriate for the space‐time setting. A robust and accurate quadrature scheme for the numerical evaluation of the occurring integrals is presented and verified by means of numerical experiments.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Towards Space‐Time Boundary Element Methods for Retarded Potential Integral Equations ; volume:19 ; number:1 ; year:2019 ; extent:2 ; Proceedings in applied mathematics and mechanics ; 19, Heft 1 (2019) (gesamt 2)

Contributors, Places and Time

• Creator: Pölz, Dominik ; Schanz, Martin

Further information

• DOI: 10.1002/pamm.201900024
• URN: urn:nbn:de:101:1-2022072207414912726809
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 15.08.2025, 7:20 AM CEST