BIB-VERSION:: CS-TR-v2.0
          ID:: STAN//NA-M-80-05
       ENTRY:: January 28, 1996
ORGANIZATION:: Stanford University, Department of Computer Science, Numerical
               Analysis Project
       TITLE:: Efficient solution of the biharmonic equation
        TYPE:: Manuscript
      AUTHOR:: Bjorstad, Petter E.
        DATE:: September 1980
       PAGES:: 16
    ABSTRACT:: A new method for the numerical solution of the first
               biharmonic problem in a rectangular region is outlined. The
               theoretical complexity of the method is $N^2$ + O(N) storage
               and O($N^2$) arithmetic operations. (In order to achieve a
               prescribed accuracy on an N by N grid.) Numerical results
               from a computer code that requires a$N^2$ + b$N^2$logN + O(N)
               operations with b << a, are presented using both a scalar and
               a vector computer. Extensions and some applications of the
               method for solving eigenvalue problems and certain nonlinear
               problems are mentioned.
       NOTES:: [Adminitrivia V1/Prg/19960128]
         END:: STAN//NA-M-80-05