A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized stokes problem

Randolph E. Bank; Bruno D. Welfert

doi:10.1016/0045-7825(90)90124-5

A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized stokes problem

Randolph E. Bank, Bruno D. Welfert

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

We first derive the statically condensed form of the mini-element formulation for the generalized Stokes equations, then present a Petrov-Galerkin-like formulation for the same problem. We show that the two are closely related.

Original language	English (US)
Pages (from-to)	61-68
Number of pages	8
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	83
Issue number	1
DOIs	https://doi.org/10.1016/0045-7825(90)90124-5
State	Published - Oct 1990
Externally published	Yes

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/0045-7825(90)90124-5

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title = "A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized stokes problem",

abstract = "We first derive the statically condensed form of the mini-element formulation for the generalized Stokes equations, then present a Petrov-Galerkin-like formulation for the same problem. We show that the two are closely related.",

author = "Bank, {Randolph E.} and Welfert, {Bruno D.}",

note = "Funding Information: * This work was supported by the Office of Naval Research under contract N00014-89J-1440, by Avions Marcel Dassault, 78 Quai Marcel Dassault, 92214 St Cloud, France, and by Direction des Recherches Etudes et Techniques, 26 boulevard Victor, 75996 Paris Armies, France.",

year = "1990",

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T1 - A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized stokes problem

AU - Bank, Randolph E.

AU - Welfert, Bruno D.

N1 - Funding Information: * This work was supported by the Office of Naval Research under contract N00014-89J-1440, by Avions Marcel Dassault, 78 Quai Marcel Dassault, 92214 St Cloud, France, and by Direction des Recherches Etudes et Techniques, 26 boulevard Victor, 75996 Paris Armies, France.

PY - 1990/10

Y1 - 1990/10

N2 - We first derive the statically condensed form of the mini-element formulation for the generalized Stokes equations, then present a Petrov-Galerkin-like formulation for the same problem. We show that the two are closely related.

AB - We first derive the statically condensed form of the mini-element formulation for the generalized Stokes equations, then present a Petrov-Galerkin-like formulation for the same problem. We show that the two are closely related.

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A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized stokes problem

Abstract

ASJC Scopus subject areas

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