On the fast matrix multiplication in the boundary element method by panel clustering

Springer Science and Business Media LLC - Tập 54 Số 4 - Trang 463-491 - 1989
Wolfgang Hackbusch1, Zenon P. Nowak2
1Institut für Informatik und Praktische Mathematik, Christian-Albrechts-Universität zu Kiel, Kiel, Germany D-2300#TAB#
2, Surrey, Canada V3R 1R6#TAB#

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Tài liệu tham khảo

Ballmann, J., Eppler, R., Hackbusch, W.: Panel methods in mechanics with emphasis on Aerodynamics. Notes Numer. Fluid Mech., Vol. 21. Braunschweig, Vieweg 1988

Hackbusch, W.: Multi-grid methods and applications 1st Ed. Heidelberg Berlin New York, Springer 1985

Hackbusch, W.: Theorie und Numerik elliptischer Differentialgleichungen, 1st Ed. Stuttgart, Teubner 1986

Hackbusch, W., Nowak, Z.P.: Multigrid method for calculating the lifting potential incompressible flows around three-dimensional bodies. Hackbusch, W., Trottenberg, U. (eds.) Multigrid Methods, pp. 135?148. Berlin Heidelberg New York: Springer 1986

Hackbusch, W., Nowak, Z.P.: A multi-level discretisation und solution method for potential flow problems in three dimensions. In: Hirschel, E.H. (ed.) Finite approximation in fluid mechanics. pp. 71?89. Braunschweig: Vieweg 1986

Hackbusch, W., Nowak, Z.P.: On the complexity of the panel method (in Russ.). Proceedings of the conference ?Modern Problems in Numerical Analysis,? Moscow, Sept. 1986. Also in Report 8608, Universit�t Kiel, Sept. 1986 (to appear)

Hackbusch, W., Trottenberg, U.: Multi-grid methods II. Proceedings, K�ln, Oct. 1985. Lectures Notes in Mathematics 1228. Berlin Heidelberg New York, Springer 1986

Hirschel, E.H. (ed.) Finite approximation in fluid mechanics. Notes on Numerical Fluid Mechanics, Vol. 14. Braunschweig, Vieweg 1986

Jaswon, M.A., Symm, G.T.: Integral equation methods in potential theory and elastostatics. London, Academic Press 1977

Kr�l, J., Wendland, W.: On the applicability of the Fredholm-Radon method in potential theory and the panel method. In: Ballmann, G., Eppler, R., Hackbusch, W. (eds.) Panel methods in mechanics with emphasis on Aerodynamics, pp. 120?136. Braunschweig: Vieweg 1988

Nowak, Z.P.: A new type of higher-order boundary integral approximation for potential flow in three dimensions. In: Hirschel, E.H. (ed.) Finite approximation in fluid mechanics, pp. 218?231. Braunschweig: Vieweg 1986

Nowak, Z.P.: Panel clustering technique for lifting potential flows in the three space dimensions. In: Ballmann, G., Eppler, R., Hackbusch, W. (eds.) Panel methods in mechanics with emphasis on Aerodynamics, pp. 166?178. Braunschweig: Vieweg 1988

Nowak, Z.P.: Efficient multi-level panel methods of higher order accuracy. Report of Universit�t Kiel 1988 (to appear)

Rokhlin, V.: Rapid solution of integral equations of classical potential theory. J. Compt. Physics60, 187?207 (1985)