On the Space-Time Discretization of Variational Retarded Potential Boundary Integral Equations

D. Pölz*, M. Schanz

*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikelBegutachtung


This paper discusses the practical development of space-time boundary element methods for the wave equation in three spatial dimensions. The employed trial spaces stem from simplex meshes of the lateral boundary of the space-time cylinder. This approach conforms genuinely to the distinguished structure of the solution operators of the wave equation, so-called retarded potentials. Since the numerical evaluation of the arising integrals is intricate, the bulk of this work is constituted by ideas about quadrature techniques for retarded layer potentials and associated energetic bilinear forms. Finally, we glimpse at algorithmic aspects regarding the efficient implementation of retarded potentials in the space-time setting. The proposed methods are verified by means of numerical experiments, which illustrate their capacity.
Seiten (von - bis)195-210
FachzeitschriftComputers & Mathematics with Applications
PublikationsstatusVeröffentlicht - 2021

ASJC Scopus subject areas

  • Computational Mathematics
  • Theoretische Informatik und Mathematik
  • Modellierung und Simulation

Fields of Expertise

  • Information, Communication & Computing


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