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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Open access funding provided by TU Wien (TUW). This study was funded by the Austrian Science Fund (FWF): P26252.
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Communicated by: Ivan Graham
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Nannen, L., Wess, M. Complex-scaled infinite elements for resonance problems in heterogeneous open systems. Adv Comput Math 48, 8 (2022). https://doi.org/10.1007/s10444-021-09923-1
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DOI: https://doi.org/10.1007/s10444-021-09923-1