A numerical study of energetic BEM-FEM applied to wave propagation in 2D multidomains
Author(s) -
A. Aimi,
Luca Desiderio,
M. Diligenti,
C. Guardasoni
Publication year - 2014
Publication title -
publications de l institut mathematique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim1410005a
Subject(s) - discretization , boundary element method , partial differential equation , finite element method , mathematical analysis , boundary (topology) , boundary value problem , mathematics , coupling (piping) , integral equation , stability (learning theory) , wave equation , computer science , physics , engineering , mechanical engineering , machine learning , thermodynamics
Starting from a recently developed energetic space-time weak for- mulation of boundary integral equations related to wave propagation prob- lems defined on single and multidomains, a coupling algorithm is presented, which allows a flexible use of finite and boundary element methods as local discretization techniques, in order to efficiently treat unbounded multilayered media. Partial differential equations associated to boundary integral equations will be weakly reformulated by the energetic approach and a particular em- phasis will be given to theoretical and experimental analysis of the stability of the proposed method.
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