An overview of the unusual stabilized finite element method and of the standard Galerkin method enriched with residual free bubble functions is presented. For the first method a concrete model problem illustrates its application in advective-diffusive-reactive equations and for the second method it is shown how static condensation of residual free bubbles gives rise to mass lumping and selective reduced integration, which are viewed as numerical tricks and can now be derived by the standard Galerkin method without tricks
Franca, L., Farhat, C., Lesoinne, M., Russo, A. (1998). Unusual stabilized finite element methods and residual free bubbles. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 27(1-4), 159-168 [10.1002/(SICI)1097-0363(199801)27:1/4<159::AID-FLD656>3.0.CO;2-8].
Unusual stabilized finite element methods and residual free bubbles
Russo, A
1998
Abstract
An overview of the unusual stabilized finite element method and of the standard Galerkin method enriched with residual free bubble functions is presented. For the first method a concrete model problem illustrates its application in advective-diffusive-reactive equations and for the second method it is shown how static condensation of residual free bubbles gives rise to mass lumping and selective reduced integration, which are viewed as numerical tricks and can now be derived by the standard Galerkin method without tricks
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