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Zbl 1023.74043
Ben Belgacem, F.; Renard, Y.
Hybrid finite element methods for the Signorini problem. (English)
[J] Math. Comput. 72, No.243, 1117-1145 (2003). ISSN 0025-5718; ISSN 1088-6842/e

Summary: We study three mixed linear finite element methods for numerical simulation of two-dimensional Signorini problem. Applying Falk's lemma and saddle point theory to the resulting discrete mixed variational inequality allows us to state the convergence rate of each of them. Two of these finite elements provide optimal results under reasonable regularity assumptions on Signorini solution, and the numerical investigation shows that the third method also provides optimal accuracy.

MSC 2000:: *74S05 Finite element methods
74M15 Contact

Keywords: mixed linear finite element method; two-dimensional Signorini problem; discrete mixed variational inequality; bubble stabilization; Falk's lemma; saddle point theory; convergence rate; optimal accuracy

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Zentralblatt MATH Berlin [Germany]