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PETROV–GALERKIN METHODS FOR THE TRANSIENT ADVECTIVE–DIFFUSIVE EQUATION WITH SHARP GRADIENTS

✍ Scribed by S. R. IDELSOHN; J. C. HEINRICH; E. OÑATE

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
794 KB
Volume
39
Category
Article
ISSN
0029-5981

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✦ Synopsis

A Petrov4alerkin 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.

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## Abstract The advection‐diffusion equation has a long history as a benchmark for numerical methods. Taylor‐Galerkin methods are used together with the type of splines known as B‐splines to construct the approximation functions over the finite elements for the solution of time‐dependent advection‐