Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology

DOI10.1051/m2an/2019088zbMath1440.85003OpenAlexW2995139357MaRDI QIDQ5118607

Florian Faucher, Ha Thanh Pham, Hélène Barucq

Publication date: 26 August 2020

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2019088

zbMATH Keywords

Schrödinger equationradiation conditionsCoulomb potentialWhittaker functionshelioseismologyLiouville transformexact Dirichlet-to-Neumann mapoutgoing fundamental solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Fundamental solutions to PDEs (35A08) Wave equation (35L05) Schrödinger operator, Schrödinger equation (35J10) Planetary atmospheres (85A20) Spherical harmonics (33C55) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) PDEs in connection with astronomy and astrophysics (35Q85)

Related Items (6)

On the Treatment of Exterior Domains for the Time-Harmonic Equations of Stellar Oscillations ⋮ Construction and Numerical Assessment of Local Absorbing Boundary Conditions for Heterogeneous Time-Harmonic Acoustic Problems ⋮ Efficient and Accurate Algorithm for the Full Modal Green's Kernel of the Scalar Wave Equation in Helioseismology ⋮ Learned Infinite Elements ⋮ Outgoing modal solutions for Galbrun's equation in helioseismology ⋮ Adjoint-state method for hybridizable discontinuous Galerkin discretization, application to the inverse acoustic wave problem

Uses Software

• DLMF
• Arb

Cites Work

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