Each H1/2–stable projection yields convergence and quasi–optimality of adaptive FEM with inhomogeneous Dirichlet data in Rd
We consider the solution of second order elliptic PDEs in R with inhomogeneous Dirichlet data by means of an –adaptive FEM with fixed polynomial order ∈ N. As model example serves the Poisson equation with mixed Dirichlet–Neumann boundary conditions, where the inhomogeneous Dirichlet data are discretized by use of an –stable projection, for instance, the –projection for = 1 or the Scott–Zhang projection for general ≥ 1. For error estimation, we use a residual error...