Work

A Space-Time Adaptive Boundary Element Method for the Wave Equation

Year: 2026

Type: article

Abstract: . This article initiates the study of space-time adaptive mesh refinements for time-dependent boundary element formulations of wave equations. Based on error indicators of residual type, we formulate an adaptive boundary element procedure for acoustic soft-scattering problems with local tensor-product refinements of the space-time mesh. We discuss the algorithmic challenges and investigate the proposed method in numerical experiments. In particular, we study the performance and improved convergence rates with respect to the energy norm for problems dominated by spatial, temporal, or traveling singularities of the solution. The efficiency of the considered rigorous and heuristic a posteriori error indicators is discussed.

Source: SIAM Journal on Scientific Computing

DOI: 10.1137/25m1782170

Authors: A. Aimi, G. Di Credico, H. Gimperlein, C. Guardasoni

Institutions: University of Parma, Istituto Nazionale di Alta Matematica Francesco Severi, Universität Innsbruck

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4416024870

FWCI:

Cites:

Cited by:

Related to: