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Multivalued boundary integral equations for inequality problems. The convex case. (English) Zbl 0656.73038

In the present paper the boundary integral equation method is extended to inequality problems. Here the case of convex superpotentials is considered. Using saddle-point techniques we derive certain variational inequalities on the boundary of the body with respect to the unknown boundary forces or displacements which are equivalent to multivalued boundary integral equations. The theory is illustrated by numerical examples indicating the connection of the developed method with the classical boundary element method.

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
49J40 Variational inequalities
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