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





Three-field formulation, Poisson problem, Nitsche approach


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. References
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Author Biographies

Muhammad Ilyas, University of Newcastle, Australia

PhD Student (Mathematics)

Bishnu P. Lamichhane, University of Newcastle

Senior Lecturer (Mathematics





Proceedings Engineering Mathematics and Applications Conference