C2-continuous elements for boundary element analysis

International Journal for Numerical Methods in Engineering

Volumn 40, Issue 11, 1997, Pages 2087-2108

  Johnston, Peter R ^a  

^a UNIVERSITY OF TASMANIA   (Australia)

Author keywords

Boundary element method; C2 continuity; Overhauser elements; Tangential derivatives

Indexed keywords

CONTINUOUS BASIS FUNCTIONS; LAPLACE'S EQUATION; OVERHAUSER ELEMENTS;

APPROXIMATION THEORY; DIFFERENTIATION (CALCULUS); FUNCTIONS;

BOUNDARY ELEMENT METHOD;

EID: 0031165845     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970615)40:11<2087::AID-NME162>3.0.CO;2-5     Document Type: Article

References (15)

1. A. W. Overhauser, 'Analytic definition of curves and surfaces by parabolic blending', Technical Report SL68-40, Ford Motor Company, 1968.
2. J. A. Brewer and D. C. Anderson, 'Visual interactions with Overhauser curves and surfaces', Comput. Graphics, 11, 132-137 (1977).
3. C. V. Camp and G. S. Gipson, 'Overhauser elements in boundary element analysis', Math. Comput. Modelling, 15, 59-69 (1991).
4. L. J. Gray, 'A note on Overhauser elements', BE Commun., 5, 62-65 (1994).
5. P. R. Johnston, 'Second order Overhauser elements for boundary element analysis', Math. Comput. Modelling, 23(5), 61-74 (1996).
6. J. A. Liggett and J. R. Salmon, 'Cubic spline boundary elements', Int. j. numer. methods eng., 17, 543-556 (1981).
7. C. A. Brebbia and J. Dominguez, Boundary Elements'. An Introductory Course, 2nd edn, Computational Mechanics Publications, Southampton, 1992.
8. W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling, Numerical Recipes, The Art of Scientific Computing, 1st edn, Cambridge University Press, Cambridge, 1989.
9. A. H. Stroud and D. Seacrest, Gaussian Quadrature Formulas, Prentice-Hall, Englewood Cliffs, N.J., 1966.
10. G. Beer and J. O. Watson, Introduction of Finite and Boundary Element Methods for Engineers, Wiley, New York, 1992.
11. M. A. Jaswon and G. T. Symm, Integral Equation Methods in Potential Theory and Elastostatics, Academic Press, London, 1977.
12. J. H. Kane, Boundary Element Analysis in Engineering Continuum Mechanics, Prentice Hall, Englewood Cliffs, N.J., 1994.
13. L. J. Gray and C. S. Soucie, 'A Hermite interpolation algorithm for hypersingular boundary integrals', Int. j. numer. methods eng., 36, 2357-2367 (1993).
14. J. O. Watson, 'Hermitian cubic and singular elements for plane strain', in P. K. Banerjee and J. O. Watson (eds.), Developments in Boundary Element Methods, Vol. 4, Elsevier, London, 1986, pp. 1-28.
15. Y. Liu and F. J. Rizzo, 'A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems', Comput. Methods Appl Mech. Eng., 96, 271-287 (1992).