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Prof. Seymour Parter


University of Wisconsin-Madison

Semi-Circulant Preconditioning of Elliptic Operators


Abstract: In this work we consider the semi-circular preconditioning of elliptic differential operators of the form

in two cases; and . The paper [1] provided extremely interesting and useful results in the first case. On the other hand those appear to contradict basic results on preconditioning given in [2]. We re-obtain the results of [1] by a new approach which we believe to be more transparent. We also clarify the situation regarding the apparent contradiction with [2]. Finally, we describe the distribution of the preconditional eigenvalues in the uniformly elliptic case, .

Bibliography

1
L. HEMMINGSSON, A semi-circulant prconditioner for the convection-diffusion equations, Numer. Math., 81 (1998), pp. 211-249.

2
T. A. MANTEUFFEL AND S. V. PARTER, Preconditioning and boundary conditions, SIAM J. Numer. Anal., 27 (1990), pp. 656-694.

Time: Friday, June 21, 2002, 14.15 Uhr
Location:FU Berlin, Arnimallee 2-6, Raum 032 im EG

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