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A mixed finite element model for use in potential flow problems
Author(s) -
Meissner Udo
Publication year - 1973
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/nme.1620060403
Subject(s) - finite element method , mixed finite element method , convergence (economics) , mathematics , extended finite element method , smoothed finite element method , finite element limit analysis , element (criminal law) , mathematical analysis , function (biology) , flow (mathematics) , field (mathematics) , mathematical optimization , boundary knot method , geometry , boundary element method , pure mathematics , engineering , structural engineering , evolutionary biology , political science , law , economics , biology , economic growth
A generalized variational principle is presented, which leads to a modified finite element approach for three‐dimensional field problems. Both, potential function and velocity field, are approximated by expansions which are continuous across the inter‐element boundaries. The rapid convergence of this mixed model is shown by two examples.