Abstract
Reciprocal variational problems for the boundary functionals of linear elasticity theory, defined on convex closed sets of functions, are formulated in an example of the Signorini problem. Certain unilateral boundary value problems of linear elasticity theory result in variational problems for such functionals. The reciprocity relationship is proved, and error estimates are presented of the approximate solutions of unilateral boundary value problems which can be used, for instance, in solving contact problems of linear elasticity theory.
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