6 papers
Cross-points in the Dirichlet-Neumann method II: a geometrically convergent variant
Bastien Chaudet-Dumas, Martin J. Gander
When considered as a standalone iterative solver for elliptic boundary value problems, the Dirichlet-Neumann (DN) method is known to converge geometrically for domain decomposition…
An optimized Space-Time Multigrid algorithm for parabolic PDEs
Bastien Chaudet-Dumas, Martin J. Gander, Ausra Pogozelskyte
We investigate three directions to further improve the highly efficient Space-Time Multigrid algorithm with block-Jacobi smoother introduced in [GanNeu16]. First, we derive an anal…
Cross-points in the Neumann-Neumann method
Bastien Chaudet-Dumas, Martin J. Gander
In this work, we focus on the Neumann-Neumann method (NNM), which is one of the most popular non-overlapping domain decomposition methods. Even though the NNM is widely used and pr…
A shape optimization algorithm based on directional derivatives for three-dimensional contact problems
Bastien Chaudet-Dumas
This work deals with shape optimization for contact mechanics. More specifically, the linear elasticity model is considered under the small deformations hypothesis, and the elastic…
Shape optimization for contact problems in linear elasticity
Bastien Chaudet-Dumas
This thesis deals with shape optimization for contact mechanics. More specifically, the linear elasticity model is considered under the small deformations hypothesis, and the elast…
A scalable Lagrange-Remap scheme for compressible multimaterial Euler equations with sharp interface reconstruction
Bastien Chaudet
This work is in the field of multi-material compressible fluid flows simulation. The proposed scheme is eulerian and related to finite volumes methods, but in a Lagrange-Remap form…