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Error Estimates for the Boundary Element Approximation of a Contact Problem in Elasticity

✍ Scribed by W. Spann

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
298 KB
Volume
20
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Dedicated to G. C. Hsiao on the occasion of his 60th birthday

The two-dimensional frictionless contact problem of linear isotropic elasticity in the half-space is treated as a boundary variational inequality involving the Poincare-Steklov operator and discretized by linear boundary elements. Quadratic growth of the energy near the solution is shown under weak regularity assumptions if the central axis of external forces intersects the boundary of the domain in a Lebesgue null set. Estimating the numerical range of the discrete Poincare-Steklov operator and properly modifying it, enables the application of an error estimate for semi-coercive variational inequalities. Optimal order of convergence is obtained in the underlying Sobolev space H(j ).

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