A superlinear convergence estimate for an iterative method for the biharmonic equation
Conference
·
OSTI ID:433410
- Wichita State Univ., Wichita, KS (United States)
In [CDH] a method for the solution of boundary value problems for the biharmonic equation using conformal mapping was investigated. The method is an implementation of the classical method of Muskhelishvili. In [CDH] it was shown, using the Hankel structure, that the linear system in [Musk] is the discretization of the identify plus a compact operator, and therefore the conjugate gradient method will converge superlinearly. The purpose of this paper is to give an estimate of the superlinear convergence in the case when the boundary curve is in a Hoelder class.
- Research Organization:
- Front Range Scientific Computations, Inc., Lakewood, CO (United States)
- DOE Contract Number:
- FG02-92ER25124
- OSTI ID:
- 433410
- Report Number(s):
- CONF-9604167-Vol.1; ON: DE96015306; CNN: Grant OSR-9255223; TRN: 97:000720-0085
- Resource Relation:
- Conference: Copper Mountain conference on iterative methods, Copper Mountain, CO (United States), 9-13 Apr 1996; Other Information: PBD: [1996]; Related Information: Is Part Of Copper Mountain conference on iterative methods: Proceedings: Volume 1; PB: 422 p.
- Country of Publication:
- United States
- Language:
- English
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