2019/07/23 by Lothar Nannen, Nannen, Lothar, Markus Wess +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering #cs.NA #math.NA
paper · pdf · doi:10.48550/arxiv.1907.09746
arxiv created 2019/07/23 · openalex publication_date 2019/07/23 · arxiv updated 2019/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Helmholtz resonance problems. We show that the approximation error of the method decays super algebraically with respect to the number of unknowns in radial direction. Numerical examples underline the theoretical findings and show the superior efficiency of our method compared to a standard perfectly matched layer method.