The Heterogeneous Helmholtz Problem with Spherical Symmetry: Green's\n Operator and Stability Estimates

2020/06/29 by Stefan Sauter, Sauter, Stefan, Céline Torres +1 · 1 citation
Computer Science · Engineering · Mathematics · #35B35 #65N12 #65N80 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Thermoelastic and Magnetoelastic Phenomena

paper · pdf · doi:10.48550/arxiv.2006.15866

openalex publication_date 2020/06/29 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We study wave propagation phenomena modelled in the frequency domain by the\nHelmholtz equation in heterogeneous media with focus on media with\ndiscontinuous, highly oscillating wave speed. We restrict to problems with\nspherical symmetry and will derive explicit representations of the Green's\noperator and stability estimates which are explicit in the frequency and the\nwave speed.\n

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