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Mixed methods and the marriage between “mixed” finite elements and boundary elements
Author(s) -
Bossavit Alain
Publication year - 1991
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690070405
Subject(s) - mathematics , bounded function , finite element method , field (mathematics) , boundary (topology) , space (punctuation) , mathematical analysis , boundary value problem , nonlinear system , simple (philosophy) , rest (music) , calculus (dental) , pure mathematics , computer science , physics , structural engineering , engineering , medicine , philosophy , epistemology , dentistry , quantum mechanics , acoustics , operating system
When fields that describe a physical situation extend over the whole space, but with complex behavior (nonlinearity, coupling, etc.) only in a bounded region and simple behavior in the rest of space, it may be worthwhile to treat the inner field by a finite elements procedure and the outer field by boundary elements. We address this “marriage” problem in the case of mixed elements. The model problem adopted for this discussion is magnetostatics . A new approach to the question of mixed elements is used, which emphasizes their parenthood with a classical concept of differential geometry, Whitney forms .