First-Order System Least-Squares: Numerical Experiments

Barry Lee

Department of Applied Mathematics University of Colorado Boulder, CO 80309-0526


We extend some of the existing FOSLS theory for general elliptic equations with mixed boundary conditions to general elliptic equations with the Robin boundary condition and to the complex Helmholtz equation with the Sommerfeld radiation condition. We then present some numerical results that demonstrate the multigrid convergence rate and discretization error given by the theory.