Atmospheric radiation boundary conditions for the Helmholtz equation

DOI10.1051/m2an/2017059zbMath1403.85001OpenAlexW2779466449WikidataQ130170628 ScholiaQ130170628MaRDI QIDQ4561148

Laurent Gizon, Marc Duruflé, Juliette Chabassier, Hélène Barucq, Michael Leguèbe

Publication date: 10 December 2018

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

Full work available at URL: https://hal.inria.fr/hal-01581834v2/file/SubARBC_Final.pdf

zbMATH Keywords

Helmholtz equationatmosphereradiation boundary condition

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Planetary atmospheres (85A20) Spherical harmonics (33C55)

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Construction and Numerical Assessment of Local Absorbing Boundary Conditions for Heterogeneous Time-Harmonic Acoustic Problems ⋮ TRAC method in dissipative media—a first analysis in frequency domain and homogeneous media ⋮ Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology ⋮ 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 ⋮ Equivalent boundary conditions for acoustic media with exponential densities. Application to the atmosphere in helioseismology

Cites Work

• Three-dimensional approximate local DtN boundary conditions for prolate spheroid boundaries
• Performance assessment of a new class of local absorbing boundary conditions for elliptical- and prolate spheroidal-shaped boundaries
• Eighty years of Sommerfeld's radiation condition
• Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape
• Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method
• Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
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