activity
20102024
most citedConvergence of infinite element methods for scalar waveguide problems

17 citations · 28 across the 5 of their papers we have counts for

collaborators

6 papers

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.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…

math.NA2015

Hardy space infinite elements for time-harmonic two-dimensional elastic waveguide problems

Martin Halla, Lothar Nannen

We consider time-harmonic linear elasticity equations in domains containing two-dimensional semi-infinite strips. Since for such problems there exist modes with different signs of…

math.NA2014★ 17 cited

Convergence of infinite element methods for scalar waveguide problems

Thorsten Hohage, Lothar Nannen

We consider the numerical solution of scalar wave equations in domains which are the union of a bounded domain and a finite number of infinite cylindrical waveguides. The aim of th…

math.NA2011★ 9 cited

High order Curl-conforming Hardy space infinite elements for exterior Maxwell problems

Lothar Nannen, Thorsten Hohage, Achim Schädle +1

A construction of prismatic Hardy space infinite elements to discretize wave equations on unbounded domains in , and is present…

math.NA2010

Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities

Lothar Nannen, Achim Schädle

This paper introduces a class of approximate transparent boundary conditions for the solution of Helmholtz-type resonance and scattering problems on unbounded domains. The computat…