Pointwise accuracy of a finite element method for nonlinear variational inequalities
One considers a partial differential equation equivalent to a nonlinear variational inequality -div F(\(\nabla u)+b(u)\ni f\), and a numerical approximation is proposed by combining continuous piecewise linear finite elements with a preliminary regularization of b. The result is quasi optimal in \(L^{\infty}\); and the case of locally coercive vector fields is considered.
scientific article; zbMATH DE number 4080787
scientific article