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Handling material discontinuities in a nonconforming generalized finite element method to solve wave propagation problems
Author(s) -
Facco Werley G.,
Silva Elson J.,
Adriano Ricardo,
Moura Alex S.,
Lima Naísses Z.
Publication year - 2012
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.27166
Subject(s) - classification of discontinuities , lagrange multiplier , piecewise , finite element method , piecewise linear function , mathematics , mathematical analysis , convergence (economics) , plane wave , computer science , mathematical optimization , physics , engineering , structural engineering , optics , economics , economic growth
To solve wave propagation problems over large domains composed by different media, many authors use the generalized finite element method (GFEM) with a geometrically conforming partition and plane wave enrichment.Such analysis is often accomplished by decomposing the entire domain into several subdomains and performing the analysis individually on each one. Then, the global analysis can be realized by using Lagrange multipliers to ensure the interface constraints. In this article, the GFEM with plane wave enrichment is extended to nonconforming discrete cases where the interface between the media can be handled as piecewise linear segments. Results for problems for which the analytical solution is known are presented to demonstrate the efficiency of the proposed technique. The convergence of the method is also presented as a function of the number of plane wave directions. © 2012 Wiley Periodicals, Inc. Microwave Opt Technol Lett 54:2709–2716, 2012; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.27166