Mortar spectral method in axisymmetric domains (Q2836451)

The paper deals with the numerical solution of the Laplace equation in a three-dimensional axisymmetric domain. The original problem is reduced by a Fourier expansion in the angular variable to a countable family of two-dimensional problems. These 2D domains are partitioned onto quadrilaterall grids and the resulting subproblems are solved by a spectral method. Then the authors describe the main features of the mortar method and use the Strang-Fix algorithm to improve the accuracy of our discretization. A priori error estimates are derived and numerical experiments, demonstrating the order of convergence, are presented.