Solving the Biharmonic Equation on Irregular Regions

Subscribe (Full Service)


	Search: The ACM Digital Library The Guide

	Feedback

Solving the Biharmonic Equation on Irregular Regions

Full text

Pdf (362 KB)

Source

ACM Transactions on Mathematical Software (TOMS) archive
Volume 5 , Issue 3 (September 1979) table of contents

Pages: 251 - 258

Year of Publication: 1979

ISSN:0098-3500

Author

L. W. Ehrlich

Applied Physics Laboratory, Johns Hopkins University, Johns Hopkins Road, Laurel, MD

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 2, Downloads (12 Months): 29, Citation Count: 0

Additional Information:

references index terms collaborative colleagues peer to peer

Tools and Actions:	Request Permissions Review this Article Save this Article to a Binder Display Formats: BibTeX EndNote ACM Ref

DOI Bookmark:	Use this link to bookmark this Article: http://doi.acm.org/10.1145/355841.355843 What is a DOI?

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	AXELSSON, O. Notes on the numerical solution of the biharmonic equations. J. inst. Math. Appl~cs. 11 (1973), 213-226.
	2	BUZBEE, B.L., DoRa, F W., GEORGE, J.A., AND GOLU~, G.H. The direct solution of the discrete Poisson equation on irregular regions. SIAM J. Numer. Anal. 8 (1971), 722-736.
	3	BUZBEE, B.L, GOLUB, G H., AND NIELSON, C.W. On direct methods for solving Poison's equations. SIAM J. Numer. Anal. 7 (1970), 627-656.
	4	EHRLICH, L.W. Solving the biharmomc equation as coupled finite difference equations. SIAM J. Numer. Anal. 8 (1971), 278-287.
	5	EHRLICH, L.W. Coupled harmonic equations, SOR, and Chebyshev acceleration. MOC. 26 (1972), 335-343.
	6	EHRLXCH, L.W., ANY GUPTA, M.M. Some difference schemes for the biharmonic equation. SIAM J. Numer. Anal. 12 (1975), 773-790.
	7	GUPTA, M.M Convergence and stability of finite difference schemes for some elliptic equations. Ph.D. Thesis, U. of Saskatchewan, Sasaktoon, Canada, 1971.
	8	MCLAURIN, I.W. A general coupled equation approach for solving the biharmonic boundary value problem. SIAM J. Numer. Anal. 11 (1974), 14-33.
	9	OSTROWSKI, A.M On the convergence of the Raylelgh quotient iteration for the computation of the characteristic roots and vectors. Arch. Rational Mech. Anal. I, 1 (1958), 233-241, Pt. II, 2 (1959), 423-428; III, 3 (1959), 325-340; IV, 3 (1959), 341-367; V, 3 (1959), 472-481; VI, 4 (1960), 153-165.
	10	SWEET, R.A. A generalized cyclic reduction algorithm. SIAM J. Numer. Anal. 11 (1974), 506- 520.
	11	YOUNG D. Iteratlve methods for solving partial difference equations of elliptic type. Trans. Amer. Meth. Sec. 76 (1971), 92-111.
	12	YOUNC, D. Iterative Solution of Large Linear Systems. Academic Press, New York, 1971.