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Shiyuan Gu
MULTIGRID METHODS FOR A BIHARMONIC PROBLEM

Department of Mathematics
Louisiana State Univ LA 70803
gshy@math.lsu.edu
Susanne Brenner
Li-Yeng Sung

We develop multigrid algorithms for a quadratic $ C^0$ interior penalty method for a biharmonic problem with essential and natural boundary conditions of the Cahn-Hilliard type. A multigrid solve for the Poisson problem with homogeneous Neumann boundary condition is used as a preconditioner in the smoothing steps for the fourth order problem, which significantly improves the performance of the multigrid methods. Numerical results are presented.





Copper Mountain Conference 2011-02-21