Numerical Solution of Steady State Heat Flow Problems Over Curved Domains

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Numerical Solution of Steady State Heat Flow Problems Over Curved Domains

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 2 , Issue 3 (September 1976) table of contents

Pages: 257 - 274

Year of Publication: 1976

ISSN:0098-3500

Authors

C. A. Hall	Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, PA
R. W. Luczak	Computer Science Corp., Silver Spring, MD
A. G. Serdy	On-Line Systems, Inc., Pittsburgh, PA

Publisher

ACM New York, NY, USA

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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	FoRsYTH~ G., AND WASOW, W. Finite-Difference Methods for Partial Differential Equations. Wiley, New York, 1960
	2	GORDON, W.J., AND I~IALb, C.A. Construction of curvilinear coordinate systems and applications to mesh generation. Int. J. Numer. Meth. Eng. 7 (1973), 461-477.
	3	GORDON, W.J., AND HALL, C.A Geometric aspects of the finite element method. In The Mathematical Foundations of the Fin7 te Element Method w~th A pphcatwns to Partial Differential Equations, A.K. Aziz, Ed. Academic Press, New York, 1972, pp. 769-784.
	4	GORDON, W.$. AND HALL, C.A. Transfinite element methods: blending-function interpolation over curved element domains. Numer. Math. 21 (1973), 109-129.
	5	ISAACSON, E., AND KELLER, H. Analysis of Numerical Methods. Wiley, New York, 1966.{
	6	MIKttLIN, S., AND SMOLITSKIY, K. Approximate Methods for Solution of D~fferent~al and Integral Equations. Elsevier, New York, 1967.
	7	SPANIER, J. Alternatmg direction methods applied to heat conduction problems. In Mathematical Methvds for Digital Computers, Vol.//, A. Ralston and H. Wilf, Eds. Wiley, New York, 1967.
	8	VARGA, R. Matrix Iterative Analys~s. Prentice-Hall, Englewood Cliffs, N.J., 1962.
	9	ZIENKIEWICZ, O. The F~n~te Element Method ~n Engineemng Science. McGraw-Hill, New York, 1971.
	10	ZIENKI:EWICZ, 0., AND PHILLIPS, D. An automatic mesh generation scheme for plane and curved surfaces by "isoparametric" coordinates, int. J. Numer. Meth. Eng. 8 (1971), 519- 528.
	11	ZLAMAL, M. "On the finite element procedures for solving second order boundary value problems. Numer. Math. 14 (1969), 42--48.