Adaptive time-domain boundary element methods for the wave equation with Neumann boundary conditions
arXiv:2508.12332 · doi:10.1016/j.camwa.2025.08.020
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.
23 pages, 15 figures
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