Adaptive finite element methods for variational inequalities

摘要: In this paper we are concerned with the numerical solution of stationary variational inequalities obstacle type associated second order elliptic differential operators in two or three space dimensions. particular, present adaptive finite element techniques featuring multilevel iterative solvers and a posteriori error estimators for local refinement triangulations. The algorithms rely on an outer-inner scheme outer active set strategy inner preconditioned cg-iterations involving variants hierarchical BPX-preconditioner which derivded framework additive Schwarz iterations. For estimation energy norm presented based approximate quasivariational inequality satis- fied by piecewise quadratic approximation global discretization error. Finally, performance preconditioners is illustrated results wide variety free boundary problems.