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math.NA2017
A three-field formulation of the Poisson problem with Nitsche approach
Muhammad Ilyas, Bishnu P. Lamichhane
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 Dirich…
math.NA2017
A mixed finite element method for a sixth order elliptic problem
Jérôme Droniou, Muhammad Ilyas, Bishnu Lamichhane +1
We consider a saddle point formulation for a sixth order partial differential equation and its finite element approximation, for two sets of boundary conditions. We follow the Ciar…