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An interior penalty G alerkin domain decomposition method based on high‐order basis function
Author(s) -
Shi Yan,
Chen Zhou,
Liang ChangHong
Publication year - 2015
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.29235
Subject(s) - basis function , domain decomposition methods , boundary (topology) , legendre polynomials , galerkin method , topology (electrical circuits) , penalty method , mathematical analysis , function (biology) , mathematics , basis (linear algebra) , domain (mathematical analysis) , boundary value problem , decomposition , mathematical optimization , engineering , geometry , finite element method , combinatorics , structural engineering , evolutionary biology , biology , ecology
An integral equation based domain decomposition method (DDM) has been presented to solve electromagnetic responses of arbitrary targets including conducting objects in free space and microstrip antennas and circuits. The target is decomposed into several non‐overlapping subdomains, each of which will be meshed independently. Higher‐order hierarchical Legendre basis functions are defined on each interface boundary between all adjacent subdomains. An interior penalty Galerkin procedure is implemented to ensure continuous boundary current on the interface boundary. Some numerical examples are shown to demonstrate good accuracy and effectiveness of the proposed algorithm. © 2015 Wiley Periodicals, Inc. Microwave Opt Technol Lett 57:1961–1965, 2015