[02112] Adaptive Virtual Element Methods: convergence and optimality
Session Time & Room : 4D (Aug.24, 15:30-17:10) @E711
Type : Contributed Talk
Abstract : We consider a Virtual Element discretization of elliptic boundary-value problems, using triangular or quadrilateral meshes with hanging nodes of arbitrary, but fixed, maximal index.
We design a two-stage adaptive algorithm, based on a stabilization-free a posteriori error estimator, which alternates data approximation and solution approximation with increasing accuracy.
We prove the convergence of the inner and outer loops, we establish the optimality of the adaptive procedure in suitable approximation classes, and we provide numerical results.