Andrej Kolar-Požun: Superconvergence (?) in the RBF-FD method

The RBF-FD (Radial Basis Function-generated Finite Differences) method approximates differential operators on scattered nodes and hence generalises the finite difference method. The local approximation order of such a method is well known, unlike the order of the solution error if the method is used to solve differential equations in collocation sense. It turns out that the convergence order of a solution can be higher than the local one. On the seminar we will further explain and discuss this result.