Performance assessment of a new class of local absorbing boundary conditions for elliptical- and prolate spheroidal-shaped boundaries

DOI10.1016/j.apnum.2008.10.001zbMath1162.65404OpenAlexW2166384469MaRDI QIDQ1021619

Rabia Djellouli, Hélène Barucq, A.-G. Saint-Guirons

Publication date: 8 June 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/inria-00338494/file/APNUM_revised151008.pdf

zbMATH Keywords

Helmholtz equationscattering problemsabsorbing boundary conditionsDirichlet-to-Neumann operatorelliptic coordinatesprolate spheroidal coordinatesradiating problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Approximate local Dirichlet-to-Neumann map for three-dimensional time-harmonic elastic waves, Atmospheric radiation boundary conditions for the Helmholtz equation, Compact high order schemes with gradient-direction derivatives for absorbing boundary conditions, A general approach for high order absorbing boundary conditions for the Helmholtz equation, TRAC method in dissipative media—a first analysis in frequency domain and homogeneous media, High-frequency analysis of the efficiency of a local approximate DtN2 boundary condition for prolate spheroidal-shaped boundaries, Time-reversed absorbing conditions in the partial aperture case, On surface radiation conditions for an ellipse, Performance assessment of a new class of local absorbing boundary conditions for elliptical- and prolate spheroidal-shaped boundaries

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