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A two‐level finite element method and its application to the Helmholtz equation
Author(s) -
Franca Leopoldo P.,
Macedo Antonini P.
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19980915)43:1<23::aid-nme383>3.0.co;2-n
Subject(s) - finite element method , helmholtz equation , galerkin method , mathematics , simple (philosophy) , helmholtz free energy , mathematical analysis , method of mean weighted residuals , mixed finite element method , extended finite element method , residual , geometry , calculus (dental) , algorithm , physics , structural engineering , engineering , boundary value problem , medicine , philosophy , quantum mechanics , dentistry , epistemology
A two‐level finite element method is introduced and its application to the Helmholtz equation is considered. The method retains the desirable features of the Galerkin method enriched with residual‐free bubbles, while it is not limited to discretizations using elements with simple geometry. The method can be applied to other equations and to irregular‐shaped domains. © 1998 John Wiley & Sons, Ltd.