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A general procedure for deriving stabilized space–time finite element methods for advective–diffusive problems
Author(s) -
Oñate E.,
Manzán M.
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19990915)31:1<203::aid-fld964>3.0.co;2-z
Subject(s) - finite element method , mathematics , advection , transient (computer programming) , calculus (dental) , mathematical analysis , space (punctuation) , computer science , physics , medicine , dentistry , thermodynamics , operating system
A procedure to derive stabilized space–time finite element methods for advective–diffusive problems is presented. The starting point is the stabilized balance equation for the transient case derived by Oñate [ Comput. Methods Appl. Mech. Eng. , 151 , 233–267 (1998)] using a finite increment calculus approach. A description of the new stabilization method and a procedure for computing the stabilization parameter of the space–time solution is given. The efficiency of the stabilization approach is shown in the solution of some transient advective–diffusive problems, including the non‐linear Burger's equation. Copyright © 1999 John Wiley & Sons, Ltd.