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math.NA2026
Finite Elements for Helmholtz Scattering with Infinity as a Computational Boundary
Markus Wess, Anıl Zenginoğlu
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.NA2019★ 2 cited
Complex scaled infinite elements for exterior Helmholtz problems
Lothar Nannen, Markus Wess
The technique of complex scaling for time harmonic wave type equations relies on a complex coordinate stretching to generate exponentially decaying solutions. In this work, we use…