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A finite element Galerkin formulation and its numerical performance
Author(s) -
Salaam U.,
Sandhu R. S.
Publication year - 1976
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.1620100509
Subject(s) - finite element method , galerkin method , discontinuous galerkin method , mathematics , jump , matrix (chemical analysis) , mathematical analysis , boundary (topology) , boundary value problem , physics , structural engineering , engineering , materials science , composite material , quantum mechanics
A finite element Galerkin formulation admitting non‐homogenous boundary conditions and discontinuous approximants is derived from a variational principle. The procedure results in matrix equations explicitly allowing for jump discontinuties across interelement boundaries. As an illustration, a specialization of the procedure similar to a reduced integration technique is used to solve several problems in elastostatics. The improvement in accuracy in comparison with conventional methods is remarkable.