Preconditioning for Singular Perturbation Problems.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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The classical iterative methods for the solution of the large systems of linear equations which arise in the numerical solution of elliptic boundary value problems become less efficient as the size of the system increases, i.e. as the numerical approximation gets better. This problem is particularly acute for singularly perturbed elliptic operators. If one can find an appropriate preconditioner this difficulty can be either ameliorated or eliminated. Previous research in this direction has been limited to the special case where the symmetric part of the operator is positive definite. This report comments on current efforts to resolve the general problem.
- Theoretical Mathematics