Entropy characterization of finite elements

International Journal of Solids and Structures

Volumn 33, Issue 24, 1996, Pages 3549-3560

  Beltzer, Abraham I ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CALCULATIONS; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; CONSTRAINT THEORY; MAXIMUM PRINCIPLE; PROBABILITY;

ENTROPY CONCEPT; FINITE ELEMENTS; HYPERVOLUME; MAXIMUM ENTROPY PRINCIPLE;

FINITE ELEMENT METHOD;

EID: 0030269104     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7683(95)00193-X     Document Type: Article

References (13)

1. Beltzer, A. I. (1973). Application of information theory to analysis of approximate solutions. In Problems of Dynamics and Strength (in Russian : Voprosy Dynamiki e Prochnosti), Vol. 27, pp. 119-125. Riga Polytechnic Inst.
2. Beltzer, A. I. (1974). Evaluation of informational properties of approximate solutions. In Problems of Dynamics and Strength (in Russian : Voprosy Dynamiki e Prochnosti), Vol. 28, pp. 108-114. Riga Polytechnic Inst.
3. Beltzer, A. I. (1990). Variational and Finite Element Methods - A Symbolic Computation Approach. Springer, Berlin.
4. Beltzer, A. I. and Gotlib, V. A. (1995). Assessment of informational properties of finite elements. In Proc. Int. Conf. Computational Engineering Science, ICES-95, 30 July-3 August 1995, Hawaii, U.S.A.
5. Fikhtengolts, G. M. (1965). The Fundamentals of Mathematical Analysis, Vol. II, p. 403. Pergamon Press, NY.
6. Jaynes, E. T. (1957). Information theory and statistical mechanics. Phys. Revs. 106, 620-630; 108, 171-197.
7. Jaynes, E. T. (1957). Information theory and statistical mechanics. Phys. Revs. 106, 620-630; 108, 171-197.
8. Jaynes, E. T. (1979). Where do we stand on maximum entropy? In Maximum Entropy Formalism (edited by R. D. Levine and M. Tribus), pp. 15-118. MIT Press, Cambridge, MA.
9. Kapur, J. N. (1989). Maximum Entropy Models in Science and Engineering. John Wiley, NY.
10. Kardestuncer, H. and Norrie, D. H. (Eds). (1987). Finite Element Handbook. McGraw-Hill, NY.
11. MacNeal, R. H. (1994). Finite Elements : Their Design and Performance. Marcel Dekker, NY.
12. Shannon, B. D. (1948). A mathematical theory of communication. Bell System Tech. J. 27, 379-423, 623-659.
13. Zienkiewicz, O. C. (1977). The Finite Element Method. McGraw-Hill, London.