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math.NA2016
Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map
Juan Carlos Araujo-Cabarcas, Christian Engstrom, Elias Jarlebring
We present an efficient procedure for computing resonances and resonant modes of Helmholtz problems posed in exterior domains. The problem is formulated as a nonlinear eigenvalue p…
math.NA2016
On spurious solutions in finite element approximations of resonances in open systems
Juan Carlos Araujo-Cabarcas, Christian Engström
In this paper, we discuss problems arising when computing resonances with a finite element method. In the pre-asymptotic regime, we detect for the one dimensional case, spurious so…