Abstract
The program PECET (Boundary Element Program in Three-Dimensional Elasticity) is presented in this paper.
This program, written in FORTRAN V and implemen ted on a UNIVAC 1100,has more than 10,000 sentences and 96 routines and has a lot of capabilities which will be explained in more detail.
The object of the program is the analysis of 3-D piecewise heterogeneous elastic domains, using a subregionalization process and 3-D parabolic isopara, metric boundary elements.
The program uses special data base management which will be described below, and the modularity followed to write it gives a great flexibility to the package.
The Method of Analysis includes an adaptive integration process, an original treatment of boundary conditions, a complete treatment of body forces, the utilization of a Modified Conjugate Gradient Method of solution and an original process of storage which makes it possible to save a lot of memory.
Keywords
- Boundary Element
- Conjugate Gradient Method
- Internal Memory
- Buffer Area
- Adaptive Integration
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
ALARCON, E., MARTIN, A., PARIS, F. “Boundary Elements in Potential and Elasticity Theory” Computers and Structures, Vol.10, pp.351–362, 1973.
BREBBIA, A. “Boundary Elements Method for Engineers”, Pentech Press, London, 1978.
CRUSE, T.A. “Numerical Solutions in Three Dimensional Elastostatics”, Int. y Sol. Struct. 5. 125–874, 1969.
CRUSE, T.A. “Application of the Boundary Integral Equation on Method to Three-Dimensional Stress Analysis”, Computers and Structures, Vol. 3, pp.509–527, 1973.
DATE, C.J. “An Introduction to Database Systems”, Addison-Wesley, Reading, Massachussetts, 1975.
DAVIS, P.J. and RABINOWITZ, P. “Methods of Numerical Integration”, Academic Press, 1975.
DOBLARE, M. “Formulación tridimensional del me todo de los elementos de contorno con interpola, ción parabólica”, Thesis, E.T.S.I.I., Madrid, 1981.
DVORNIK, J. “Generalization of the C.G. Method Applied to Linear and Nonlinear Problems”, J. Comp. Stu., 10, pp.217–223, 1979.
ENGELS, H. “Numerical Quadrature and Cubature”, Academic Press, 1980.
FELIPPA, C.A. “Database Management in Scientific Computing I. General Description”, Computers and Structures, Vol. 10, pp.53–61, 1979.
FELIPPA, C.A. “Database Management in Scientific Computing II. Data Structures and Program Architecture”, Computers and Structures, Vol.12, pp.131–145, 1980.
FUNG, Y.C. “Foundations of Solids Mechanics”, Prentice Hall, 1965.
GAMBOLATI, G. “Fast Solution to Finite Element Flow Equations by Newton Iteration and Modified Conjugate Gradient Method”, Stat. J. Num. Meth. Eng., 15, pp.661–675, 1980s.
GAMBOLATI, G. “Fast Solution to Finite Element Flow Equations by Newton Iteration and Modified Conjugate Gradient Method”, Stat. J. Num. Meth. Eng., 15, pp.661–675, 1980.
KATZAN, H. “Computer Data Management and Data Base Technology”, Van Nostrand Reinhold, New York, 1975.
LACHAT, J.C. “A Further Development of the Boun dary Integral Technique for Elastostatic”, Ph.D. Thesis, University of Southampton, 1975.
LACHAT, J.C. and WATSON, J.O. “Effective Numerical Treatment of Boundary Integral Equation: A Formulation for Three-Dimensional Elastostatic”, Int. J. Num. Meth. in Eng., 10, pp.991–1005, 1976.
PARIS, F. “El método de los elementos de contorno en la teoría del potencial y la elasticidad”, Thesis, E.T.S.I.I., Madrid, 1979.
STROUD, A.H. and SECREST, D. “Gaussian Quadrature Formulae”, Prentice Hall, 1966.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1982 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Doblare, M., Alarcon, E. (1982). A Three-Dimensional B.I.E.M. Program. In: Brebbia, C.A. (eds) Finite Element Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07229-5_22
Download citation
DOI: https://doi.org/10.1007/978-3-662-07229-5_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-07231-8
Online ISBN: 978-3-662-07229-5
eBook Packages: Springer Book Archive