Geodesic
Contact between elastic bodies. II. Finite element analysis
Applications of Mathematics, Tome 26 (1981) no. 4, pp. 263-290.

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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.
DOI : 10.21136/AM.1981.103917
Classification : 49A29, 49J40, 49M15, 65N15, 65N30, 73K25, 73T05, 74A55, 74M15, 74S05
Mots-clés : piecewise linear elements; error estimate; exact solution sufficiently smooth; solution not regular; convergence 
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     title = {Contact between elastic bodies. {II.} {Finite} element analysis},
     journal = {Applications of Mathematics},
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Haslinger, Jaroslav; Hlaváček, Ivan. Contact between elastic bodies. II. Finite element analysis. Applications of Mathematics, Tome 26 (1981) no. 4, pp. 263-290. doi : 10.21136/AM.1981.103917. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103917/

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