Stable least-squares space-time boundary element methods for the wave equation

• Main Authors: Hoonhout, Daniel, Löscher, Richard, Steinbach, Olaf, Urzúa-Torres, Carolina
• Format: Journal Article
• Language: English
• Published: 19.12.2023
• Subjects: Computer Science - Numerical Analysis; Mathematics - Numerical Analysis

In this paper, we recast the variational formulation corresponding to the single layer boundary integral operator $\operatorname{V}$ for the wave equation as a minimization problem in $L^2(\Sigma)$, where $\Sigma := \partial \Omega \times (0,T)$ is the lateral boundary of the space-time domain $Q :=...