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Department of Mathematics

Karlsruhe Institute of Technology
D-76128 Karlsruhe
Germany
Tel.: +49 721 608-43800

Domain decomposition and nonlinear parabolic equations - a time integrator approach

Speaker: Prof. Dr. Eskil Hansen (Lund)
Place: Seminar room 1.067, building 20.30
Time: 23.5.2019, 14:00 - 15:00
Invited by: CRC 1173

Abstract

Domain decomposition based schemes allow the usage of parallel and distributed hardware, making them well-suited for discretization of time dependent PDEs in general and parabolic equations in particular. In this talk, we will review the somewhat overlooked possibility of introducing the domain decomposition approach directly into the temporal discretization. We will outline a convergence analysis for these domain decomposition based time integrators for two standard families of nonlinear parabolic equations, namely, the parabolic p-Laplace and the porous medium type equations.