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Energetic boundary element method analysis of wave propagation in 2D multilayered media
Author(s) -
Aimi A.,
Gazzola S.,
Guardasoni C.
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1612
Subject(s) - mathematics , mathematical analysis , boundary element method , galerkin method , scalar (mathematics) , boundary value problem , boundary (topology) , partial differential equation , stability (learning theory) , homogeneous , element (criminal law) , finite element method , geometry , physics , thermodynamics , combinatorics , machine learning , computer science , political science , law
The analysis of scalar wave propagation in 2D zonewise homogeneous media with vanishing initial and mixed boundary conditions is carried out. The problem is formulated in terms of time‐dependent boundary integral equations, and then it is set in a weak form, based on a natural energy identity satisfied by the differential problem solution. Several numerical results have been obtained by means of the related energetic Galerkin boundary element method showing accuracy and stability of the method. Copyright © 2012 John Wiley & Sons, Ltd.