 Error components estimates evolution in function of space DD iterations |
 Error components estimates evolution in function of space-time DD iterations |
Main results:
- guaranteed error upper bound on each DD iteration;
- distinguishes the domain decomposition error, the spatial discretization error, and possibly the temporal discretization error;
- important savings in terms of the number of domain decomposition iterations;
- optimized Robin and Ventcell transmission conditions;
- global-in-time formulation that allows for use of local time stepping (different time grids adapted to different time scales in the subdomains) and parallelization in time.
Details:
- steady linear setting: paper (preprint) with Sarah Ali Hassan, Caroline Japhet, and Michel Kern;
- unsteady linear setting: paper (preprint) with Sarah Ali Hassan and Caroline Japhet;
- two-phase flow with two different rock types: paper (preprint) with Elyes Ahmed, Sarah Ali Hassan, Caroline Japhet, and Michel Kern.
