Coupling Finite Element and Spectral Methods: First Results

Christine Bernardi, Naima Debit, Yvon Maday
1990 Mathematics of Computation  
A Poisson equation on a rectangular domain is solved by coupling two methods: the domain is divided in two squares; a finite element approximation is used on the first square and a spectral discretization is used on the second. Two kinds of matching conditions on the interface are presented and compared; in both cases, error estimates are proved.
doi:10.2307/2008680 fatcat:eaz3f7jpsjftloins3ycgxaycm