Author(s)

C.M. Murea & J.M. Crolet

Abstract

A fluid-structure interaction problem is studied in the following hypotheses: the fluid is incompressible and it is governed by the time-dependent Stokes equations and the sructure is governed by the linear elasticity equations. The interaction beet wen the blood and the left ventricle of the heart is the physical system which is modeled. This paper presents a stable algorithm wich computs the velocity and the pressure of the fluid and the velocity of the structure, using the Lagrange multiplier method. 1 Introduction A mathematical model for the biomechanics contact problems beetwen the blood and an elastic structure has been studied by J.L. Lions

Keywords