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The patch test for mixed formulations (1986)

Zienkiewicz, O. C. ; Qu, S. ; Taylor, R. L. ; [et al.]

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 23 (1986), S. 1873-1883

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: This paper presents a simple extension of the patch test to mixed formulations to provide the necessary and sufficient conditions for convergence. The general algebraic conditions of Babuska and Brezzi are given a simple form and a conceptual application of the patch tests serves to point out the instability of several well known formulations for incompressible problems. The test is also applied to mixed displacement - strain formulations of elasticity, and limiting formulations are noted.

Additional Material: 6 Ill.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/nme.1620231007

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