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arXiv · 2508.12332

Adaptive time-domain boundary element methods for the wave equation with Neumann boundary conditions

Alessandra Aimi·Giulia Di Credico·Heiko Gimperlein·Chiara Guardasoni
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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.

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Alessandra Aimi, Giulia Di Credico, Heiko Gimperlein, Chiara Guardasoni. 2025-08-17. Adaptive time-domain boundary element methods for the wave equation with Neumann boundary conditions. https://doi.org/10.1016/j.camwa.2025.08.020

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