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SOLUTION OF NONLINEAR OBSTACLE PROBLEMS BY COMPLEMENTARITY ALGORITHMS

We discuss a nonlinear beam obstacle model defined by inequality constraints and differential equations with highly nonlinear and fourth order operators. An appropriate discrete approximation by the finite element method leads to a large finite-dimensional mixed nonlinear complementarity problem. We propose an interior-point algorithm for the solution of this complementarity problem. Some computational experience with this algorithm on the solution of the beam model is included to highlight the efficiency of the algorithm.