A GENERALIZATION OF THE STANDARD GALERKIN FINITE ELEMENT METHOD IS CONSIDERED TO ENABLE IT TO DEAL SUCCESSFULLY WITH STEADY CONVECTION- DIFFUSION PROBLEMS. THE PROPOSED METHOD EMPLOYS A GENERALIZED GOVERNING EQUATION WHICH IS OBTAINED BY SUBTRACTING FROM THE ORIGINAL DIFFERENTIAL EQUATION THE SCALAR PRODUCT OF ITS GRADIENT BY A VECTOR OF FREE PARAMETERS ASSOCIATED WITH EACH OF THE COORDINATE-DIRECTIONS. THIS GENERALIZED EQUATION IS SUCCESSIVELY DISCRETIZED BY THE STANDARD BUBNOV-GALERKIN FINITE ELEMENT METHOD. THE EFFECTIVENESS OF THE METHOD IS ILLUSTRATED FOR THE CASE OF QUADRATIC LOCAL INTERPOLATIONS IN ONE AND TWO SPACE DIMENSIONS.
BELYTSCHKO T.;
SMOLINSKI P.;
1995-03-15
JRC4026
https://publications.jrc.ec.europa.eu/repository/handle/JRC4026,
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