Ignacio Ojea

activity

20162026

most citedSome inequalities on weighted Sobolev spaces, distance weights and the Assouad dimension

2 citations · 2 across the 7 of their papers we have counts for

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math.NA2018

A weighted setting for the numerical approximation of the Poisson problem with singular sources

Irene Drelichman, Ricardo Durán, Ignacio Ojea

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 th…

math.NA2016

Anisotropic finite elements for elliptic problems with singular data

Ignacio Ojea

We study the problem $- Δ u = γ$ , where $γ$ is a singular measure, with support on a curve or a point. We prove that optimal rates of convergence for the finite element method can be…