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PETROV-GALERKIN METHODS FOR THE TRANSIENT ADVECTIVE-DIFFUSIVE EQUATION WITH SHARP GRADIENTS (1996)

IDELSOHN, S. R. ; HEINRICH, J. C. ; OÑATE, E.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 39 (1996), S. 1455-1473

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ISSN: 0029-5981

Keywords: transient loads ; advective-diffusive equations ; Petrov-Galerkin ; Galerkin Leask-Square ; boundary layers ; Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: 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.

Additional Material: 8 Ill.

Type of Medium: Electronic Resource

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