Flux recovery from primal hybrid finite element methods

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A flux recovery technique is introduced and analyzed for the computed solution of the primal hybrid finite element method for second-order elliptic problems. The recovery is carried out over a single element at a time while ensuring the continuity of the flux across the interelement edges and the validity of the discrete conservation law at the element level. Our construction is general enough to cover all degrees of polynomials and grids of triangular or quadrilateral type. We illustrate the principle using the Raviart-Thomas spaces, but other well-known related function spaces such as the Brezzi-Douglas-Marini (BDM) or Brezzi-Douglas-Fortin-Marini (BDFM) space can be used as well. An extension of the technique to the nonlinear case is given. Numerical results are presented to confirm the theoretical results.
Publisher
SIAM PUBLICATIONS
Issue Date
2002-07
Language
English
Article Type
Article
Citation

SIAM JOURNAL ON NUMERICAL ANALYSIS, v.40, no.2, pp.403 - 415

ISSN
0036-1429
URI
http://hdl.handle.net/10203/85877
Appears in Collection
MA-Journal Papers(저널논문)
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