An optimization technique for the solution of the Signorini problem using the boundary element method
We present an optimization technique for the numerical solution of the Signorini problem for the Laplacian via boundary element discretization. The discretized problem is a mixed linear complementarity problem with potential and flux at the contact region as complementary variables. This complementarity problem is reformulated as a bilinear optimization program, which we solve with an interior point algorithm. Numerical results for a test problem and a comparison with another solution technique are given.
signorini problem boundary elements method linear complementarity problem bilinear optimization program interior point algorithm