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Title: A superlinear convergence estimate for an iterative method for the biharmonic equation

Abstract

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.

Authors:
 [1]
  1. Wichita State Univ., Wichita, KS (United States)
Publication Date:
Research Org.:
Front Range Scientific Computations, Inc., Lakewood, CO (United States)
OSTI Identifier:
433410
Report Number(s):
CONF-9604167-Vol.1
ON: DE96015306; CNN: Grant OSR-9255223; TRN: 97:000720-0085
DOE Contract Number:  
FG02-92ER25124
Resource Type:
Conference
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
Subject:
99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; BOUNDARY-VALUE PROBLEMS; NUMERICAL SOLUTION; CONFORMAL MAPPING; CONVERGENCE; ITERATIVE METHODS

Citation Formats

Horn, M A. A superlinear convergence estimate for an iterative method for the biharmonic equation. United States: N. p., 1996. Web.
Horn, M A. A superlinear convergence estimate for an iterative method for the biharmonic equation. United States.
Horn, M A. 1996. "A superlinear convergence estimate for an iterative method for the biharmonic equation". United States. https://www.osti.gov/servlets/purl/433410.
@article{osti_433410,
title = {A superlinear convergence estimate for an iterative method for the biharmonic equation},
author = {Horn, M A},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/433410}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Dec 31 00:00:00 EST 1996},
month = {Tue Dec 31 00:00:00 EST 1996}
}

Conference:
Other availability
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