A Weighted Setting for the Numerical Approximation of the Poisson Problem with Singular Sources
A Weighted Setting for the Numerical Approximation of the Poisson Problem with Singular Sources
We consider the approximation of Poisson type problems where the source is given by a singular measure and the domain is a convex polygonal or polyhedral domain. First, we prove the well-posedness of the Poisson problem when the source belongs to the dual of a weighted Sobolev space where the …