Speaker
Description
This talk summarises our recent work on a fully 3D Summation-by-Parts scheme for a class of linear wave equations on hyperboloidal slices. The scheme is derived in spherical polar coordinates on a Minkowski background, and allows having grid points at the origin and on the z-axis, despite coordinate singularities, and at infinity, by introducing compactification followed by rescaling, and is proved to be stable. Kreiss-Oliger dissipation operators are generalized to curvilinear coordinates and are defined everywhere in the domain, including at the boundary points, such that they satisfy the dissipative property in the energy norms. Promising results are obtained, giving hope for application to fully nonlinear systems, like the Einstein Field Equations, and extracting the resulting gravitational waves free of systematic errors or gauge ambiguities.