Jean-Morlet Chair whole semester on Numerical Methods for PDEs: Discretization, Iterative Solution & Parallelization (Martin Gander and Florence H

Only in very rare cases, and on very specific domains, is it possible to give closed form solutions for PDE equations, and a large part of research in numerical analysis is devoted therefore to computing approximate solutions. This requires several steps: firstly, one needs to discretize the PDEs. A first focus of our proposal is to look at a very sophisticated, new type of discretization of finite volume type: the discrete duality finite volume (DDFV) method. We will also focus on domain decomposition methods where there exist many open research questions on which the community is currently focusing: (coarse spaces, heterogeneous domain decomposition methods, domain decomposition for optimal control problems, PinT methods, etc.) Our program will feature the international PinT Conference, a research school for PhD students, workshops and research in pairs and a doctoral course. Invitations are open to tentative participants at all levels of their career.