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PETROV–GALERKIN METHODS FOR THE TRANSIENT ADVECTIVE–DIFFUSIVE EQUATION WITH SHARP GRADIENTS
Author(s) -
IDELSOHN S. R.,
HEINRICH J. C.,
OÑATE E.
Publication year - 1996
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/(sici)1097-0207(19960515)39:9<1455::aid-nme912>3.0.co;2-0
Subject(s) - petrov–galerkin method , galerkin method , transient (computer programming) , mathematics , advection , mathematical analysis , generalization , convection–diffusion equation , weighting , boundary (topology) , finite element method , physics , computer science , thermodynamics , acoustics , operating system
A Petrov–Galerkin formulation based on two different perturbations to the weighting functions is presented. These perturbations stabilize the oscillations that are normally exhibited by the numerical solution of the transient advective–diffusive equation in the vicinity of sharp gradients produced by transient loads and boundary layers. The formulation may be written as a generalization of the Galerkin Least‐Square method.