Adaptive time-domain boundary element methods for the wave equation with Neumann boundary conditions
Numerical Analysis
2025-08-28 v1 Numerical Analysis
Abstract
This article investigates adaptive mesh refinement procedures for the time-domain wave equation with Neumann boundary conditions, formulated as an equivalent hypersingular boundary integral equation. Space-adaptive and time-adaptive versions of a space-time boundary element method are presented, based on a reliable a posteriori error estimate of residual type. Numerical experiments illustrate the performance of the proposed approach.
Keywords
Cite
@article{arxiv.2508.12332,
title = {Adaptive time-domain boundary element methods for the wave equation with Neumann boundary conditions},
author = {Alessandra Aimi and Giulia Di Credico and Heiko Gimperlein and Chiara Guardasoni},
journal= {arXiv preprint arXiv:2508.12332},
year = {2025}
}
Comments
23 pages, 15 figures