3 papers
math.NA2026
Finite Elements for Helmholtz Scattering with Infinity as a Computational Boundary
Markus Wess, Anıl ZenginoÄlu
Building on the null-infinity-layer construction, we develop an H1-conforming finite-element formulation of hyperboloidal compactification for the exterior Helmholtz equation. A ch…
math.NA2026
A higher-order dual cell method for time-domain Maxwell equations
Lorenzo Codecasa, Bernard Kapidani, Joachim Schöberl +1
We present a higher-order extension of the dual cell method for the time-domain Maxwell equations in three spatial dimensions. The approach builds upon a variational reinterpretati…
math.NA2024
Radial perfectly matched layers and infinite elements for the anisotropic wave equation
Martin Halla, Maryna Kachanovska, Markus Wess
We consider the scalar anisotropic wave equation. Recently a convergence analysis for radial perfectly matched layers (PML) in the frequency domain was reported and in the present…