PDE Seminar: "Domain decomposition integrators for nonlinear parabolic equations", Eskil Hansen (Lund)
We will analyze temporal approximation schemes based on overlapping domain decompositions. As such schemes enable computations on parallel and distributed hardware, they are well suited for integrating large-scale parabolic systems. Our analysis is conducted by first casting the domain decomposition procedure into a variational framework based on weighted Sobolev spaces. The time integration of a nonlinear parabolic system can then be interpreted as an operator splitting scheme applied to an abstract evolution equation governed by a maximal dissipative vector field. By utilizing this abstract setting, we derive an temporal error analysis for the most common choices of domain decmposition based integrators.
Tid: 2018-04-24 13:30 till 14:30