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math.NA2021
An adaptive finite element method for high-frequency scattering problems with smoothly varying coefficients
Anton Arnold, Sjoerd Geevers, Ilaria Perugia +1
We introduce a new numerical method for solving time-harmonic acoustic scattering problems. The main focus is on plane waves scattered by smoothly varying material inhomogeneities.…
math.NA2021
WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime
Jannis Körner, Anton Arnold, Kirian Döpfner
This paper is concerned with an efficient numerical method for solving the 1D stationary Schrödinger equation in the highly oscillatory regime. Being a hybrid, analytical-numerical…