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A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes

Autor
Baiges, J.; Codina, R.; Henke, F.; Shahmiri, S.; Wall, W.A.
Tipus d'activitat
Article en revista
Revista
International journal for numerical methods in engineering
Data de publicació
2012-05
Volum
90
Número
5
Pàgina inicial
636
Pàgina final
658
DOI
https://doi.org/10.1002/nme.3339 Obrir en finestra nova
URL
http://onlinelibrary.wiley.com/doi/10.1002/nme.3339/abstract Obrir en finestra nova
Resum
In this paper, we propose a way to weakly prescribe Dirichlet boundary conditions in embedded finite element meshes. The key feature of the method is that the algorithmic parameter of the formulation which allows to ensure stability is independent of the numerical approximation, relatively small, and can be fixed a priori. Moreover, the formulation is symmetric for symmetric problems. An additional element-discontinuous stress field is used to enforce the boundary conditions in the Poisson probl...
Paraules clau
Boundary conditions, Finite element methods, Fixed meshes, Nitsche's method
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

Participants