Title

Finite element methods for the displacement obstacle problem of clamped plates

Document Type

Article

Publication Date

12-14-2012

Abstract

We study finite element methods for the displacement obstacle problem of clamped Kirchhoff plates. A unified convergence analysis is provided for C finite element methods, classical nonconforming finite element methods and C interior penalty methods. Under the condition that the obstacles are sufficiently smooth and that they are separated from each other and the zero displacement boundary constraint, we prove that the convergence in the energy norm is O(h) for convex domains. © 2012 American Mathematical Society. 1 0

Publication Source (Journal or Book title)

Mathematics of Computation

First Page

1247

Last Page

1262

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