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Digitale Medien

On the continuation for variational inequalities depending on an eigenvalue parameter (1989)

Miersemann, Erich ; Mittelmann, Hans D. ; Törnig, W.

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 11 (1989), S. 95-104

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Details

ISSN: 0170-4214

Schlagwort(e): Mathematics and Statistics ; Applied Mathematics

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik

Notizen: In this paper we generalize recent theoretical results on the local continuation of parameter-dependent non-linear variational inequalities. The variational inequalities are rather general and describe, for example, the buckling of beams, plates or shells subject to obstacles. Under a technical hypothesis that is satisfied by the simply supported beam, we obtain the existence of a continuation of both the solution and the eigenvalue with respect to a local parameter. A numerical continuation method is presented that easily overcomes turning points. Numerical results are presented for the non-linear beam.

Zusätzliches Material: 2 Tab.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/mma.1670110107

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