In this paper, we study a spectral mortar element discretization of the Poisson equation on a square subject to mixed boundary conditions of Dirichlet and Neumann type. We carry out the numerical analysis of the method and derive error estimates. An efficient algorithm for the solution of the problem is proposed and numerical tests confirming the theoretical results are presented.
['Zakaria Belhachmi', 'Andreas Karageorghis']
A Spectral Mortar Element Discretization of the Poisson Equation with Mixed Boundary Conditions