Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains
Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains
Several approaches are discussed how to understand the solution of the Dirichlet problem for the Poisson equation when the Dirichlet data are non-smooth such as if they are in only. For the method of transposition (sometimes called very weak formulation) three spaces for the test functions are considered, and a …