期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 80, 期 11, 页码 1379-1405出版社
WILEY-BLACKWELL
DOI: 10.1002/nme.2662
关键词
immersed boundaries; Nitsche's method; approximate boundary conditions; finite element methods
资金
- Departament d'Universitats, Recerca i Societat de la Informacio of the Generalitat de Catalunya (Catalan Government)
We analyze several possibilities to prescribe boundary conditions in the context of immersed boundary methods. As basic approximation technique we consider the finite element method with a mesh that does not match the boundary of the computational domain, and therefore Dirichlet boundary conditions need to be prescribed in an approximate way. As starting variational approach we consider Nitsche's methods, and we then move to two options that yield non-symmetric problems but that turned out to be robust and efficient. The essential idea is to use the degrees of freedom of certain nodes of the finite element mesh to minimize the difference between the exact and the approximated boundary condition. Copyright (C) 2009 John Wiley & Sons, Ltd.
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