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Friday, October 25, 2024 - 14:15 in V5-148


A quasi-optimal space-time FEM with local mesh refinements for parabolic problems

A talk in the BI.discrete series by
Johannes Storn from Universität Leipzig

Abstract: We present a space-time finite element method for the heat equation that computes quasi-optimal approximations with respect to natural norms while incorporating local mesh refinements in space-time. The discretized problem is solved with a conjugate gradient method with optimal preconditioner for problems with initial conditions $u_0\in H^1_0(\Omega)$ and almost optimal preconditioner when $u_0\in L^2(\Omega)$.

Within the CRC this talk is associated to the project(s): A7



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