Cinmemj: Cinmemj moved page Draft Samper 581820744 to Codina Baiges 2015a

2019-09-05T15:16:18Z

Cinmemj moved page Draft Samper 581820744 to Codina Baiges 2015a

Cinmemj at 15:15, 5 September 2019

2019-09-05T15:15:59Z

Cinmemj: Created page with "==1 Title, abstract and keywords

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-==1 Title, abstract and keywords<!-- Your document should start with a concise and informative title. Titles are often used in information-retrieval systems. Avoid abbreviations and formulae where possible. Capitalize the first word of the title.
+== Abstract ==
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+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 and treat the boundary condition as a constraint. The particular feature is that the Lagrange multiplier is not defined on the boundary where the essential condition needs to be prescribed but is taken as a certain trace of a field defined in the computational domain, either in all of it or just in a region surrounding the boundary. When approximated numerically, this may allow one to condense the DOFs of the new field and end up with a problem posed only in terms of the original unknowns. The nature of the field used to weakly impose boundary conditions depends on the problem being treated. For the Poisson problem, it is a flux; for the Stokes problem, a stress; for the Darcy problem in primal form, a velocity field; and for the Darcy problem in dual form, it is a potential.
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-==2 The main text<!-- You can enter and format the text of this document by selecting the ‘Edit’ option in the menu at the top of this frame or next to the title of every section of the document. This will give access to the visual editor. Alternatively, you can edit the source of this document (Wiki markup format) by selecting the ‘Edit source’ option.
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← Older revision	Revision as of 15:16, 5 September 2019
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Codina Baiges 2015a - Revision history

Cinmemj: Cinmemj moved page Draft Samper 581820744 to Codina Baiges 2015a

Cinmemj at 15:15, 5 September 2019

Cinmemj: Created page with "==1 Title, abstract and keywords