Open AccessFEDORENKO FINITE SUPERELEMENT METHOD AS SPECIAL GALERKIN APPROXIMATION
Author(s) -
M P Galanin,
Е. Б. Савенков
Publication year - 2002
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2002.9637176
Subject(s) - superelement , galerkin method , mathematics , boundary value problem , domain (mathematical analysis) , mathematical analysis , domain decomposition methods , finite element method , petrov–galerkin method , iterative method , work (physics) , mathematical optimization , extended finite element method , physics , finite element limit analysis , thermodynamics
In this work we introduce variational equation which natural Petrov‐Galerkin approximation leads to Fedorenko Finite Superelement Method (FSEM). FSEM is considered as Petrov‐Galerkin approximation of the certain problem for traces of boundary‐value problem solution at the boundaries of some subdomains (superelements). Iterative methods of solution of the same problem are well known domain decomposition methods. Some numerical results are presented.