GMRES and integral operators [electronic resource].
- Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy, 1994.
- Physical Description:
- pages 5, Paper 16 : digital, PDF file
- Additional Creators:
- National Science Foundation (U.S.) and United States. Department of Energy. Office of Scientific and Technical Information
- Restrictions on Access:
- Free-to-read Unrestricted online access
- Many discretizations of integral equations and compact fixed point problems are collectively compact and strongly convergent in spaces of continuous functions. These properties not only lead to stable and convergent approximations but also can be used in the construction of fast multilevel algorithms. Recently the GMRES algorithm has become a standard coarse mesh solver. The purpose of this paper is to show how the special properties of integral operators and their approximations are reflected in the performance of the GMRES iteration and how these properties can be used to strengthen the norm in which convergence takes place. The authors illustrate these ideas with composite Gauss rules for integral equations on the unit interval.
- Published through SciTech Connect., 12/31/1994., "conf-9404305--vol.1", "DE96005735", Colorado conference on iterative methods, Breckenridge, CO (United States), 5-9 Apr 1994., Kelley, C.T.; Xue, Z.Q., Front Range Scientific Computations, Inc., Boulder, CO (United States), and USDOE, Washington, DC (United States)
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