Fast direct methods of solving finite-element grid schemes with bicubic elements for the Poisson equation-Reference-Cited by-同舟云学术

Fast direct methods of solving finite-element grid schemes with bicubic elements for the Poisson equation

Published:1994-10 Issue:6 Volume:71 Page:2799-2804
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Solov'ev S. I.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/BF02110588.pdf

Reference5 articles.

1. A. A. Samarskii, I. E. Kaporin, A. B. Kucherov, and E. S. Nikolaev, “Some modem methods of solution of grid equations,” Izv. Vyssh. Uchebn. Zaved., Matem., No. 7(254), 3–12 (1983).

2. S. I. Solov'ev, On the Spectrum of Finite-Element Approximation of the Eigenvalue Problem for the Laplace Operator [in Russian], Kazan' (1984), Unpublished manuscript, VINITI 30.7.84, No. 5517-84.

3. S. I. Solov'ev, “Fast solution methods for FEM grid schemes of second-order accuracy for the Poisson equation in a rectangle,” Izv. Vyssh. Uchebn. Zaved., Matem., No. 10(281), 71–74 (1985).

4. S. I. Solov'ev, “Fourier method for finite-element approximation of the Poisson equation,” in: Grid Methods for Solving Differential Equations [in Russian], Kazan' (1986), pp. 64–78.

5. P. Lancaster, Theory of Matrices [Russian translation], Moscow (1982).

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