Algorithmic aspects of enriched time domain boundary element methods. (March 2019)

• Record Type: Journal Article
• Authors: Gimperlein, Heiko; Stark, David
• Is Part Of: Engineering analysis with boundary elements. Volume 100(2019)
• Page Start: 118
• Page End: 124
• Publication Date: 2019-03
• Subjects: Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2018.02.010
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: We discuss the algorithmic aspects of a recently proposed time-domain partition-of-unity boundary element method for wave propagation problems a high frequency on coarse mesh grids. A main challenge is the accurate assembly of the Galerkin matrix for travelling plane-wave basis functions. We discuss the numerical solution of the space-time system and its preconditioning. Numerical results demonstrate the prospects and challenges of the approach.