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Finite element approximation of vector fields given by curl and divergence
Author(s) -
Neittaanmäki P.,
Saranen J.,
Mitchell A. R.
Publication year - 1981
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670030124
Subject(s) - curl (programming language) , mathematics , pointwise , finite element method , mathematical analysis , divergence (linguistics) , approximation error , scheme (mathematics) , physics , linguistics , philosophy , computer science , thermodynamics , programming language
In this paper a finite element approximation scheme for the system curl is considered. The use of pointwise approximation of the boundary condition leads to a nonconforming method. The error estimate is proved and numerically tested.