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Zbl 1053.65049
Wang, Lieheng
On the error estimate of nonconforming finite element approximation to the obstacle problem. (English)
[J] J. Comput. Math. 21, No. 4, 481-490 (2003). ISSN 0254-9409; ISSN 1991-7139/e

Finite element approximations with nonconforming linear elements on a triangular grid as well as Wilson elements on rectangular grids are applied to 2-dimensional obstacle problems. The original inequality constrained problem is replaced by the finite element one using the related broken bilinear form. The obstacle condition in the discrete problems is enforced in the midpoints of the inner edges. Estimates of order $h$ are derived in terms of the broken norm for both discretizations.
[Christian Grossmann (Dresden)]

MSC 2000:: *65K10 Optimization techniques (numerical methods)
49J20 Optimal control problems with PDE (existence)
49M15 Methods of Newton-Raphson, Galerkin and Ritz types

Keywords: obstacle problem; nonconforming finite element; error estimates

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