Seminar 20 April

This week’s seminar will be given by Ingeborg Gåseby Gjerde.

Title: Mixed methods for the Poisson equation with a Dirac right-hand side
Abstract: In this talk, we will investigate the use of mixed methods for the Poisson equation with a Dirac right-hand side. The solution to this problem does not lie in H1, leading to suboptimal convergence rates for finite element solutions. We will start by discussing numerical results obtained from primal and dual mixed methods. Weighted Sobolev spaces will then be introduced, and we will discuss their use in existence proofs for equations with singular solutions. Finally, we will examine the results obtained from solving a rescaled Poisson’s equation.

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