BIB-VERSION:: CS-TR-v2.0
          ID:: STAN//CS-TR-78-674
       ENTRY:: June 22, 1995
ORGANIZATION:: Stanford University, Department of Computer Science
       TITLE:: Finite element approximation and iterative solution of a
               class of mildly non-linear elliptic equations
        TYPE:: Technical Report
      AUTHOR:: Chan, Tony F.
      AUTHOR:: Glowinski, Roland
        DATE:: November 1978
       PAGES:: 80
    ABSTRACT:: We describe in this report the numerical analysis of a
               particular class of nonlinear Dirichlet problems. We consider
               an equivalent variational inequality formulation on which the
               problems of existence, uniqueness and approximation are
               easier to discuss. We prove in particular the convergence of
               an approximation by piecewise linear finite elements.
               Finally, we describe and compare several iterative methods
               for solving the approximate problems and particularly some
               new algorithms of augmented lagrangian type, which contain as
               special case some well-known alternating direction methods.
               Numerical results are presented.
       NOTES:: [Adminitrivia V1/Prg/19950622]
         END:: STAN//CS-TR-78-674