A three-field formulation of the Poisson problem with Nitsche approach

Title: A three-field formulation of the Poisson problem with Nitsche approach
Creator: Ilyas, M.; Lamichhane, B. P.
Relation: 13th Biennial Engineering Mathematics and Applications Conference. Proceedings of the 13th Biennial Engineering Mathematics and Applications Conference (Auckland, New Zealand 29 November-01 December, 2017) p. C128-C142
Publisher Link: http://dx.doi.org/10.21914/anziamj.v59i0.12645
Publisher: Australian Mathematical Society
Resource Type: conference paper
Date: 2018
Description: We modify a three-field formulation of the Poisson problem with Nitsche approach for approximating Dirichlet boundary conditions. Nitsche approach allows us to weakly impose Dirichlet boundary condition but still preserves the optimal convergence. We use a biorthogonal system for efficient numerical computation and introduce a stabilisation term so that the problem is coercive on the whole space. Numerical examples are presented to verify the algebraic formulation of the problem.
Subject: three-field formulation; Poisson problem; Nitsche approach
Identifier: http://hdl.handle.net/1959.13/1447032
Identifier: uon:43037
Language: eng
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