Domain composition methods for associating geometric modeling with finite element modeling

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Domain composition methods for associating geometric modeling with finite element modeling

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ACM Symposium on Solid and Physical Modeling archive
Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications table of contents

Austin, Texas, United States

Pages: 443 - 454

Year of Publication: 1991

ISBN:0-89791-427-9

Authors

J. J. Cox	School of Mechanical Engineering, Purdue University, West Lafayette, Indiana
W. W. Charlesworth	School of Mechanical Engineering, Purdue University, West Lafayette, Indiana
D. C. Anderson	School of Mechanical Engineering, Purdue University, West Lafayette, Indiana

Sponsor

SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 3, Downloads (12 Months): 15, Citation Count: 2

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references cited by index terms collaborative colleagues

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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	Bernhard, R.J., Journal of Sound and Vibration 98(1), 55-65. A Finite Element Method for Synthesis of Acoustical Shapes, 1985.
	2	Bernhard, R.J., ASME Journal WA/NCA-13. A Procedure for Explicit Determination of Acoustical Shape Design by the Finite Element Method, 1984.
	3	Bernhard, R.J., Personal Communication, 1990.
	4	Bjorstad, P. E., Proceedings of the Second International Conference on Domain Decomposition Methods, Multiplicative and Additive Sehwarz Methods: Convergence in the Two-Domain Case, 1988.
	5	Bocher,M. 1894 Uber die Reihenentwickelungen der Potentialtheorie. Leipsig: B.G. Teubner.
	6	Boulbrachene, M., Cortey-Dumont, Ph., Miellou, j. C., Proceedings of the First international Conference on Domain Decomposition Methods, Mixing Finite Elements and Finite Differences in a Subdomain Method, 1987.
	7	Bourgat, J. F., Glowinski, R., Le Tallec, P., Vidrascu, M., Proceedings of the Second International Conference on Domain Decomposition Methods, Variational formulation and Algorithm for Trace Operator in Domain Decomposition Calculations, 1988.
	8	Braid, I.C., Designing with Volumes. Cambridge England: Cantab Press, 1974.
	9	Chandru,V., Dutta, D., Hoffman,C.M. 1988 Purdue University Technical Report CSD-TR-818. On the Geometry of Dupin Cyclides.
	10	Cook, W.A., Engineering Analysis vol. 5, no. 1. Body-Oriented Coordinates Applied to the Finite-Element Method, 1988.
	11	Cox, J., Anderson, D. A., Presentation at the 1990 IFIP WG 5.2 Workshop, Variational Forms Linking Shape With Function, Rensselaerville, New York, 1990.
	12	Cox, J., Anderson, D. A., Proceedings of the 1990 IFIP WG 5.2 Workshop, Single Model Formulations That Link Engineering An/alysis With Geometric Modeling, Rensselaerville, New York, 1990.
	13	Dong, S. B., State of the Art Surveys on Finite Element Technology, ASME, Global-Local Finite Element Methods, 451- 474, 1983.
	14	Dryja, M., Proceedings of the First International Conference on Domain Decomposition Methods, A Method of Domain Decomposition for Three-Dimensional Finite Element Elliptic Problems, 1987.
	15	Evans, D. J., Li-shan, K., Proceedings of the Second International Conference on Domain Decomposition Methods, New DO- main Decomposition Strategies for Elliptic Partial Differential Equations, 1988.
	16	Gladwell, I., Wait, R., A Survey of Numerical Methods for Partial Differential Equations, New York: Oxford University Press, 1979.
	17	Glowinski R., Wheeler, M. F., Proceedings of the First International Conference on Domain Decomposition Methods, DO- main Decomposition and Mixed Finite Elements for Elliptic Problems, 1987.
	18	Haslinger, J., Neittaanmakl, P., Finite Element Approximation for Optimal Shape Design. New York: John Wiley & Sons LTD, 1988.
	19	Hildebrand,F.B. 1976 Advanced Calculus for Applications. New Jersey: Prentlce-Hall Inc.
	20	Haug, E. J.,. Choi, K. K, The Optimum Shape. New York: Plenum Press. Paper #2 Material Derivative Methods for Shape Design Sensitivity Analysis, 1986.
	21	Erwin Kreyszig, Advanced Engineering Mathematics: Maple Computer Guide, John Wiley & Sons, Inc., New York, NY, 2000
	22	Lions, P. L., Proceedings of the Second International Conference on Domain Decomposition Methods, On the Sehwarz Alternating Method II: Stochastic Interpretation and Order Properties, 1988.
	23	Mason, J., Methods of Functional Analysis for Application in Solid Mechanics. Amsterdam: Elsevier Science Publishers B.V., 1985.
	24	Moon,P., Spencer,D.E. 1961 Field Theory for Engineers. Princeton New Jersey: D Van Nostrand Co..
	25	Moon, P., Spencer, D.E. 1988 Field Theory Handbook. Berlin: Springer-Verlag.
	26	Morse, P.M., Feshbach,H. 1953 Methods of Theoretical Physics. McGraw-Hill Book Company.
	27	Michael E. Mortenson, Geometric modeling, John Wiley & Sons, Inc., New York, NY, 1985
	28	Mroz, Z., The Optimum Shape. New York: Plenum Press. Paper #4 Variational Approach to Shape Sensitivities Analysis and Optimal Design, 1986.
	29	Nath, B., Potamitis, S.G., Journal For Numerical Methods in Engineering vol. 24,301-317. A Global Mapping Method for Improving the Performance of Quadratic Elements, 1987.
	30	Pearce, P.,Structure in Nature is a Strategy for Design. M1T Press, 1987.
	31	Reddy, J.N., An Introduction to the Finite Element Method. London: McGraw-HiU Book Company, 1984.
	32	Shapiro, V., Voelker, H., Research in Engineering Design, vol 1, # 1, 69-73, On the Role of Geometry in Mechanical Design, 1989.
	33	Shephard, M. S., Research in Engineering Design, vol 1, #3/ 4, 229-238, Idealization in Engineering Modeling and Design, 1990.
	34	Tsamasphyros, G., Giannakopoulos, A.E., Computer Methods in Applied Mechanics and Engineering 49, 331-342. The Mapped Elements for the Solution of Cracked Bodies, 1985.
	35	H. Voelcker , A. Requicha , E. Hartquist , W. Fisher , J. Metzger , R. Tilove , N. Birrell , W. Hunt , G. Armstrong , T. Check , R. Moote , J. McSweeney, The PADL-1.0/2 system for defining and displaying solid objects, ACM SIGGRAPH Computer Graphics, v.12 n.3, p.257-263, August 1978
	36	Kevin Weiler, Polygon comparison using a graph representation, ACM SIGGRAPH Computer Graphics, v.14 n.3, p.10-18, July 1980
	37	Weiler, Kevin J., Phl). thesis, Renssdear Polytechnic Institute, Troy, NY "Topological Structures for Geometric Modeling," August 1986.
	38	Wheeler, M. J., Computer-Aided Engineering, vol 9, #3, 56- 62, Structural Analysis for Everyday Engineering, 1990.
	39	Yang, R. J., Botkin, M.E., The Optimum Shape. New York: Plenum Press. Paper #3 The Relationship Between the Variational Approach and the Implicit Differentiation Approach to Shape Design Sensitivities, 1986.
	40	Zienkiewicz, O.C., The Finite Element Method. London: McGraw-Hill Book Company, 1977.
	41	Zienkiewicz, O.C., Morgan, K., Finite Elements and Approximation. New York: John Wiley & Sons, 1983.

CITED BY 2

	Helaman Ferguson , Alyn Rockwood , Jordan Cox, Topological design of sculptured surfaces, ACM SIGGRAPH Computer Graphics, v.26 n.2, p.149-156, July 1992
	Taylor C. Wilson , Jeffrey A. Talbert , Jordan J. Cox, “Modeling Primitives”: an object oriented formulation of boundary value problems in a solid geometric modeling context, Proceedings on the second ACM symposium on Solid modeling and applications, p.441-448, May 19-21, 1993, Montreal, Quebec, Canada