A New ILU-type Smoother for Anisotropic Problems
Klaus Johannsen (Univ. Heidelberg)
Discrete systems arising from elliptic PDEs can be solved efficiently
using multigrid methods. In many cases of practical interest the
resulting linear equations exhibit strong isotropies. We present a new
ILU-type smoother for this type of problems. Its robust smoothing
property is investigated. Unlike the ILU(beta) scheme introduced in
[Wittum 89], the scheme does not require a damping parameter.
It can be easily extended to problems arising from systems of PDEs.
Numerical experiments demonstrate its excellent smoothing properties.
[Wittum 89] On the robustness of ILU smoothing. SIAM J. Sci. Stat. Comput,