Title: Efficient Chebyshev-Legendre Galerkin Methods 
       for Elliptic Problems

Author: Jie Shen

Status: Proceedings of the Third International Conference on
        Spectral and High Order Methods.  Houston Journal of
        Mathematics.

Abstract:

We introduce a new  and efficient Chebyshev-Legendre Galerkin method
for elliptic 
problems. The new method is based on a Legendre-Galerkin formulation,
but only the Chebyshev-Gauss-Lobatto points are used in the
computation. Hence, it enjoys  advantages of both the
Legendre-Galerkin and Chebyshev-Galerkin methods.