On a Data Structure for Adaptive Finite Element Mesh Refinements

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On a Data Structure for Adaptive Finite Element Mesh Refinements

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 6 , Issue 2 (June 1980) table of contents

Pages: 166 - 187

Year of Publication: 1980

ISSN:0098-3500

Authors

Werner C. Rheinboldt	Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, PA
Charles K. Mesztenyi	Computer Science Center, University of Maryland, College Park, MD

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 2, Downloads (12 Months): 52, Citation Count: 6

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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	BABU~KA, I, AND RHEINBOLDT, W Ana\|ysls of optnnal fimte-element meshes m R1. Math. Comput. 33 (1979), 435-463.
	2	BABUSKA, I, AND RHEINBOLDT, W. A-postemori error estimates for the finite element method. Int. J. Numer Meth. ~n Eng 12 (1978), 1597-1615.
	3	BABUSKA, I., AND RHEINBOLDT, W. Computational aspects of fimte element analysis. In Math. emat~cal Software III, J R. Rice (Ed.), Academic Press, New York, 1977, pp. 225-255.
	4	BABU.~KA, I., AND RHEINBOLDT, W Error estimates for adaptive fimte element computations. SIAM J Numer Anal. 15 (1978), 736-754.
	5	BABUSKA, I., AND RHEINBOLDT, W Oil the rehabfllty and optimality of the finite element method. Comput. Structures 10 (1979), 87-94.
	6	GEORGE, A Nested dmsechon of a regular finite element mesh. SIAM J. Numer. Anal. 10 (1973), 345-363
	7	GEORGE, A., AND LIU, J.W.H. An automatic nested dissection algorithm for irregular finite element problems. Res. Rep. CS-76-38, Dep. Comput. Sci., Univ. Waterloo, Canada, 1976
	8	Donald E. Knuth, The art of computer programming, volume 1 (3rd ed.): fundamental algorithms, Addison Wesley Longman Publishing Co., Inc., Redwood City, CA, 1997
	9	Pamela Zave , Werner C. Rheinboldt, Design of an Adaptive, Parallel Finite-Element System, ACM Transactions on Mathematical Software (TOMS), v.5 n.1, p.1-17, March 1979 [doi>10.1145/355815.355816]

CITED BY 6

	Hanan Samet, The Quadtree and Related Hierarchical Data Structures, ACM Computing Surveys (CSUR), v.16 n.2, p.187-260, June 1984
	Maria-Cecilia Rivara, Design and data structure of fully adaptive, multigrid, finite-element software, ACM Transactions on Mathematical Software (TOMS), v.10 n.3, p.242-264, Sept. 1984
	Pamela Zave , George E. Cole, Jr., A Quantitative Evaluation of the Feasibility of, and Suitable Hardware Architectures for, an Adaptive, Parallel Finite-Element System, ACM Transactions on Mathematical Software (TOMS), v.9 n.3, p.271-292, Sept. 1983
	Axel Friedrich , Konrad Polthier , Markus Schmies, Interpolation of triangle hierarchies, Proceedings of the conference on Visualization '98, p.391-396, October 18-23, 1998, Research Triangle Park, North Carolina, United States
	W. Bangerth , R. Hartmann , G. Kanschat, deal.II—A general-purpose object-oriented finite element library, ACM Transactions on Mathematical Software (TOMS), v.33 n.4, p.24-es, August 2007
	W. Bangerth , O. Kayser-Herold, Data structures and requirements for hp finite element software, ACM Transactions on Mathematical Software (TOMS), v.36 n.1, p.1-31, March 2009