Adaptive time-domain boundary element methods for the wave equation with Neumann boundary conditions
By: Alessandra Aimi , Giulia Di Credico , Heiko Gimperlein and more
Potential Business Impact:
Makes computer simulations of waves more accurate.
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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