Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie
Abstract
The aim of this paper is to prove the existence of an approximate weak solution for a steady fluid-structure interaction problem. A fictitious domain approach with
penalization is used. One of the main ingredients is an extension theorem for domains with Lipschitz boundaries. The fluid and structure domains are not necessarily double connected and the structure is not completely surrounded by the fluid. These assumptions are more realistic for some engineering and medical applications