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Weak imposition of essential boundary conditions in the finite element approximation of elliptic problems with non-matching meshes

Author
Codina, R.; Baiges, J.
Type of activity
Journal article
Journal
International journal for numerical methods in engineering
Date of publication
2015-11
Volume
104
Number
7
First page
624
Last page
654
DOI
https://doi.org/10.1002/nme.4815 Open in new window
Repository
http://hdl.handle.net/2117/85085 Open in new window
URL
http://onlinelibrary.wiley.com/doi/10.1002/nme.4815/abstract Open in new window
Abstract
In this work, we propose a method to prescribe essential boundary conditions in the finite element approximation of elliptic problems when the boundary of the computational domain does not match with the element boundaries. The problems considered are the Poisson problem, the Stokes problem, and the Darcy problem, the latter both in the primal and in the dual formulation. The formulation proposed is of variational type. The key idea is to start with the variational form that defines the problem ...
Citation
Codina, R., Baiges, J. Weak imposition of essential boundary conditions in the finite element approximation of elliptic problems with non-matching meshes. "International journal for numerical methods in engineering", Novembre 2015, vol. 104, núm. 7, p. 624-654.
Keywords
elliptic problems, essential boundary conditions, non-matching meshes
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

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