The Numerical Realization of the Signorini Problem with a Given Friction Based on the Reciprocal Variational Formulation

The paper deals with a mixed finite element approximation of the Signorini problem with a given friction, which is based on the so-called reciprocal variational formulation. Two types of finite element approximations of the Lagrange multipliers are studied: piecewise constant and continuous piecewise linear ones. Numerical results are compared with the classical algebraic Lagrange multiplier approach.

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