A least-squares finite element method for second-order elliptic boundary value problems having interfaces due to discontinuous media properties is proposed and analyzed. Both Dirichlet and Neumann boundary data are treated. The boundary value problems are recast into a firstorder formulation to which a suitable least-squares principle is applied. Among the… (More)

@inproceedings{Cao1998LeastsquaresFE,
title={Least-squares Finite Element Approximations to Solutions of Interface Problems∗},
author={Yanzhao Cao},
year={1998}
}