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A non-overlapping domain decomposition method for continuous-pressure mixed finite element approximations of the Stokes problem

Hani BenhassineAbderrahmane Bendali — 2011

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

This study is mainly dedicated to the development and analysis of non-overlapping domain decomposition methods for solving continuous-pressure finite element formulations of the Stokes problem. These methods have the following special features. By keeping the equations and unknowns unchanged at the cross points, that is, points shared by more than two subdomains, one can interpret them as iterative solvers of the actual discrete problem directly issued from the finite element scheme. In this way,...

A non-overlapping domain decomposition method for continuous-pressure mixed finite element approximations of the Stokes problem

Hani BenhassineAbderrahmane Bendali — 2011

ESAIM: Mathematical Modelling and Numerical Analysis

This study is mainly dedicated to the development and analysis of non-overlapping domain decomposition methods for solving continuous-pressure finite element formulations of the Stokes problem. These methods have the following special features. By keeping the equations and unknowns unchanged at the cross points, that is, points shared by more than two subdomains, one can interpret them as iterative solvers of the actual discrete problem directly issued from the finite element scheme. In this way,...

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