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A hierarchical NXFEM for fictitious domain simulations

R. Becker ; E. Burman ; Peter Hansbo (Institutionen för matematiska vetenskaper, matematik)
International Journal for Numerical Methods in Engineering (0029-5981). Vol. 86 (2011), 4-5, p. 549-559.
[Artikel, refereegranskad vetenskaplig]

We suggest a fictitious domain method, based on the Nitsche XFEM method of (Comput. Meth. Appl. Mech. Engrg 2002; 191: 5537-5552), that employs a band of elements adjacent to the boundary. In contrast, the classical fictitious domain method uses Lagrange multipliers on a line (surface) where the boundary condition is to be enforced. The idea can be seen as an extension of the Chimera method of (ESAIM: Math. Model Numer. Anal. 2003; 37: 495-514), but with a hierarchical representation of the discontinuous solution field. The hierarchical formulation is better suited for moving fictitious boundaries since the stiffness matrix of the underlying structured mesh can be retained during the computations. Our technique allows for optimal convergence properties irrespective of the order of the underlying finite element method.

Nyckelord: Nitsche's method, fictitious domain, extended finite element method, finite-element-method, nitsches method, grids



Denna post skapades 2011-04-26.
CPL Pubid: 139759

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Numerisk analys

Chalmers infrastruktur