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A hierarchical NXFE...
A hierarchical NXFEM for fictitious domain simulations
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- Becker, R. (author)
- Universite de Pau et des Pays de L'Adour,Université de Pau et des Pays de l'Adour
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- Burman, E. (author)
- University of Sussex,University of Sussex Falmer
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- Hansbo, Peter F G, 1959 (author)
- Jönköping University,Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering
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(creator_code:org_t)
- 2010-12-29
- 2011
- English.
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In: International Journal for Numerical Methods in Engineering. - : Wiley. - 0029-5981 .- 1097-0207. ; 86:4-5, s. 549-559
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Nitsche's method
- fictitious domain
- extended finite element method
- finite-element-method
- nitsches method
- grids
- Nitsche's method
Publication and Content Type
- ref (subject category)
- art (subject category)
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