Optimal control in heterogeneous domain decomposition methods

Domain Decomposition Methods for Linear-Quadratic Elliptic Optimal Control Problems

Domain Decomposition Methods for Linear-Quadratic Elliptic Optimal Control Problems

Algebraic Domain Decomposition Methods for Darcy flow in heterogeneous media

Heterogeneous Domain Decomposition Methods for Fluid-Structure Interaction Problems

In this note, we propose Steklov-Poincaré iterative algorithms (mutu-ated from the analogy with heterogeneous domain decomposition) to solve fluid-structure interaction problems. Although our framework is very general, the driving application is concerned with the interaction of blood flow and vessel wall in large arteries.

Numerical solution of vascular flows by heterogeneous domain decomposition methods

In this note we investigate a problem arising from fluid dynamics for hemodynamics, using heterogeneous domain decomposition techniques. In particular we will couple Navier-Stokes equations with Oseen or Stokes equations, as advocated in papers [FGQ99] and [FGQ00]. Our interest is twofold. On one hand we would like to assess the quality of the coupled heterogeneous models; in particular we want...

Algebraic Domain Decomposition Methods for Highly Heterogeneous Problems

We consider the solving of linear systems arising from porous media flow simulations with high heterogeneities. Using a Newton algorithm to handle the non-linearity leads to the solving of a sequence of linear systems with different but similar matrices and right hand sides. The parallel solver is a Schwarz domain decomposition method. The unknowns are partitioned with a criterion based on the ...