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Digitale Medien

Error estimation and adaptivity in flow formulation for forming problems (1988)

Zienkiewicz, O. C. ; Liu, Y. C. ; Huang, G. C.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 25 (1988), S. 23-42

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ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: A very simple and reliable error estimator has recently been developed for problems of linear elasticity.1 This leads naturally toa predication of an h-mesh refinement required for a given accuracy and with a suitable mesh generator2 for an efficient adaptive process. In this paper we extend the methodology developed previously to incompresible plastic flow of metals or polymers using the ‘flow formulation’ approach.3The examples of application include steady state extrusion problems for which exact solutions are available and hence allow the efficiency of the error estimates to be tested as well as more complex problems of upsetting in which the mesh is updated. It is found that the estimator performs well under various circumstances and provides an economical adaptive process.

Zusätzliches Material: 19 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620250105

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Digitale Medien

Error estimates and convergence rates for various incompressible elements (1989)

Zienkiewicz, O. C. ; Liu, Y. C. ; Huang, G. C.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 28 (1989), S. 2191-2202

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ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: This note reports numerical experiments on the efficiency of simple error estimates derived earlier1 applied to incompressible mixed or related penalty type formulations. The rate of convergence and performance of various mixed elements is compared. Numerical results from a driven cavity and an incompressible elastic problem demonstrate that the T6B1/3D and T6/3C elements give a faster rate of convergence than the T6/1D element. However, in the case of a plane extrusion analysis (stronger singularity), the rate of convergence for the T6B1/3D element drops and is inferior to that of the T6/1D, while the T6/3C element still proves superior to the other two elements.

Zusätzliches Material: 11 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620280914

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