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- W2892283810 abstract "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 weight belongs to the Muckenhoupt class. Second, we prove the stability in weighted norms for standard finite element approximations under the quasi-uniformity assumption on the family of meshes." @default.
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- W2892283810 date "2018-09-10" @default.
- W2892283810 modified "2023-09-27" @default.
- W2892283810 title "A weighted setting for the numerical approximation of the Poisson problem with singular sources" @default.
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