Nannen, L., & Wess, M. (2022). Complex-scaled infinite elements for resonance problems in heterogeneous open systems. Advances in Computational Mathematics, 48(2), Article 8. https://doi.org/10.1007/s10444-021-09923-1
E101-03-1 - Forschungsgruppe Computational Mathematics in Engineering
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Journal:
Advances in Computational Mathematics
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ISSN:
1019-7168
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Date (published):
Apr-2022
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Number of Pages:
35
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Publisher:
SPRINGER
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Peer reviewed:
Yes
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Keywords:
Complex scaling; Helmholtz-type resonance problems; Heterogeneous exterior domains; Infinite elements
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Abstract:
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 a Galerkin method with ansatz functions with infinite support to discretize complex-scaled scalar Helmholtz-type resonance problems with inhomogeneous exterior domains. We show super-algebraic convergence of the method with respect to the number of unknowns in radial direction. Numerical examples underline the theoretical findings.
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Project title:
Infinite Elemente für Maxwell-Aussenraumprobleme: P26252-N25 (Fonds zur Förderung der wissenschaftlichen Forschung (FWF))
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Research Areas:
Mathematical and Algorithmic Foundations: 95% Computational Materials Science: 5%
