Nitsche's method for coupling non–matching meshes in fluid–structure vibration problems
Journal article, 2003

Nitsche's method is a classical method for imposing essential boundary conditions weakly. Unlike the penalty method, it is consistent with the original differential equation. The strong point of Nitsche's method is that it retains the convergence rate of the underlying finite element method, whereas the standard penalty method either requires a very large penalty parameter, destroying the condition number of the resulting matrix problem, or, in case the condition number is to be retained, is limited to first order energy-norm accuracy. In this paper, we give a formulation of Nitsche's method suitable for the problem of fluid-structure interaction. Numerical examples are given.


Joakim Hermansson


Peter F G Hansbo


Computational Mechanics

0178-7675 (ISSN) 1432-0924 (eISSN)

Vol. 32 1-2 134-139

Subject Categories

Applied Mechanics

Computational Mathematics

Fluid Mechanics and Acoustics



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