activity
20192026
most citedComplex scaled infinite elements for exterior Helmholtz problems

2 citations · 2 across the 6 of their papers we have counts for

collaborators

6 papers

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.NA2024

A Krylov Eigenvalue Solver Based on Filtered Time Domain Solutions

Lothar Nannen, Markus Wess

This paper introduces a method for computing eigenvalues and eigenvectors of a generalized Hermitian, matrix eigenvalue problem. The work is focused on large scale eigenvalue probl…

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…

math.NA2023

Mass lumping the dual cell method to arbitrary polynomial degree for acoustic and electromagnetic waves

Markus Wess, Bernard Kapidani, Lorenzo Codecasa +1

We present a fundamental improvement of a high polynomial degree time domain cell method recently introduced by the last three authors. The published work introduced a method featu…

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…