Nitsche's method for coupling non-matching meshes in fluid-structure vibration problems

Computational Mechanics

Volumn 32, Issue 1-2, 2003, Pages 134-139

  Hansbo, P ^a   Hermansson, J ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

Finite elements; Fluid structure interaction; Nitsche method; Non matching meshes

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DENSITY OF LIQUIDS; DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; POISSON EQUATION; POLYNOMIALS; TENSORS; VIBRATIONS (MECHANICAL);

LAME CONSTANTS; NITSCHE METHOD; NONMATCHING MESHES;

FLUID STRUCTURE INTERACTION;

EID: 0242406031     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-003-0467-7     Document Type: Article

References (13)

1. Alonso A, Dello Russo A, Padra C, Rodríguez R (2001) An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids. Comput. Visual. Sci. 4: 67-78
2. Alonso A, Dello Russo A, Vampa V (1999) A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis. Comput. Mech. 23: 231-239
3. Bermúdez A, Durán R, Muschietti MA, Rodríguez R, Solomin J (1995) Finite element vibration analysis of fluid-solid systems without spurious modes. SIAM J. Numer. Anal. 32: 1280-1295
4. Bermúdez A, Rodríguez R (1994) Finite element computation of the vibration modes of a fluid-solid system. Comput. Meth. Appl. Mech. Eng. 119: 355-360
5. Burman E, Hansbo P (2002) A unified stabilized method for Stokes and Darcys equations. Chalmers Finite Element Center Preprint 2002-15
6. Becker R, Hansbo P, Stenberg R (2003) A finite element method for domain decomposition with non-matching grids. M2AN Math. Model. Numer. Anal. 37: 209-225
7. Brezzi F, Fortin M (1991) Mixed and hybrid finite element methods. Springer Verlag, New York
8. Hansbo A, Hansbo P (2002) An unfitted finite element method, based on Nitsche's method, for elliptic interface problems. Comput. Meth. Appl. Mech. Eng. 191: 5537-5552
9. Hansbo A, Hansbo P, Larson M G (2003) A finite element method on composite grids based on Nitsche's method. M2AN Math. Model. Numer. Anal 37: 49-51
10. Hansbo P, Larson MG (2002) Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method. Comput. Meth. Appl. Mech. Eng. 191: 1895-1908
11. Nitsche J (1971) Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind Abh. Math. Univ. Hamburg 36: 9-15
12. Stenberg R (1995) On some techniques for approximating boundary conditions in the finite element method. J. Comput. Appl. Math. 63: 139-148
13. Wang X, Bathe K-J (1997) Displacement/pressure based mixed finite element formulation for acoustic fluid-structure interaction problems. Int. J. Numer. Meth. Eng. 40: 2001-2017