Potential gradient recovery using a local smoothing procedure in the cauchy integral

Communications in Numerical Methods in Engineering

Volumn 15, Issue 8, 1999, Pages 547-556

  Mantic V ^a   Graciani, E ^a   Paris F ^a  

^a UNIVERSIDAD DE SEVILLA   (Spain)

Author keywords

Boundary element method; Laplace equation; Recovery techniques; Strongly singular integrals

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS;

CAUCHY INTEGRALS; POTENTIAL GRADIENT RECOVERY; STRONGLY SINGULAR INTEGRALS;

BOUNDARY ELEMENT METHOD;

EID: 0032640599     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1099-0887(199908)15:8<547::aid-cnm268>3.0.co;2-s     Document Type: Article

References (10)

1. G. Krishnasamy, F. J. Rizzo and T. J. Rudolphi, 'Continuity requirements for density functions in the boundary integral equation method', Comput. Mech., 9, 267-284 (1992).
2. L. J. Gray, D. Maroudas and M. N. Enmark, 'Galerkin boundary integral method for evaluating surface derivatives', Comput. Mech., 22, 187-193 (1998).
3. V. Mantič, E. Graciani and F. París, 'A simple local smoothing scheme in strongly singular boundary integral representation of potential gradient', Comput. Methods Appl. Mech. Eng., (in press).
4. C. Katz, 'Some improvements in 2D boundary elements using integration by parts', Proc. Boundary Element Methods in Engineering, C. A. Brebbia (Ed.), Springer Verlag, Berlin, 1982, pp. 72-85.
5. T. V. Hromadka II and C. Lai, The Complex Variable Boundary Element Method in Engineering Analysis, Springer Verlag, Berlin, 1987.
6. R. Kolhe, W. Ye, C. Y. Hui and S. Mukherjee, 'Complex variable formulation for usual and hypersingular integral equations for potential problems - with applications to corners and cracks', Comput. Mech., 17, 279-286 (1996).
7. N. I. Muskhelisvili, Singular Integral Equations, Noordhoff, Groningen, 1953.
8. W. Hackbusch, Integral Equations, Theory and Numerical Treatment, Birkhäuser Verlag, Basel, 1995.
9. E. Graciani, V. Mantič, F. París and J. Cañas, Potential gradient calculation in 2D using hypersingular BIE and strongly singular BIE with a smoothed integral density, in Proc. Int. Symp. Boundary Elements, IABEM'98, Ecole Polytechnique, Palaiseau, Paris, 1998, pp. 85-86.
10. O. C. Zienkiewicz and J. Z. Zhu, 'The superconvergent patch recovery and a posteriori error estimates, Part 1: The recovery technique', Int. J. Numer. Methods Eng., 33, 1331-1364 (1992).