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Article

Keywords:
piecewise linear elements; error estimate; exact solution sufficiently smooth; solution not regular; convergence
Summary:
The paper deals with the approximation of contact problems of two elastic bodies by finite element method. Using piecewise linear finite elements, some error estimates are derived, assuming that the exact solution is sufficiently smooth. If the solution is not regular, the convergence itself is proven. This analysis is given for two types of contact problems: with a bounded contact zone and with enlarging contact zone.
References:
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