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Zbl 1115.65340
Shi, Dongyang; Wang, Caixia
Anisotropic nonconforming finite element approximation to variational inequality problems with displacement obstacle.
(Chinese. English summary)
[J] Chin. J. Eng. Math. 23, No. 3, 399-406 (2006). ISSN 1005-3085

Summary: The authors study the nonconforming finite element approximation to the second-order variational obstacle problem with displacement obstacle on the anisotropic meshess. Optimal error estimates which are the same as those for regular finite element methods are obtained by utilizing some novel techniques and approaches. The application of finite element methods can thus be extended.
MSC 2000:
*65K10 Optimization techniques (numerical methods)
49J40 Variational methods including variational inequalities
49M15 Methods of Newton-Raphson, Galerkin and Ritz types

Keywords: displacement obstacle; optimal error estimate

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