Differentiation of finite element solutions of the Poisson equation

IEEE Transactions on Magnetics

Volumn 29, Issue 2, 1993, Pages 1993-1996

  Silvester, Peter P ^a   Omeragić, Dževat ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIATION (CALCULUS); FINITE ELEMENT METHOD; FUNCTION EVALUATION; NUMERICAL METHODS; SENSITIVITY ANALYSIS;

GREEN;S SECOND IDENTITY; POISSON EQUATION; SQUARE REGIONS;

ELECTROMAGNETIC FIELDS;

EID: 0027555032     PISSN: 00189464     EISSN: 19410069     Source Type: Journal    
DOI: 10.1109/20.250800     Document Type: Article

References (8)

1. Silvester, P.P.: ‘Differentiation of finite element approximations to harmonic functions’. IEEE Transactions on Magnetics, vol. 27, pp. 3774–3779, 1991.
2. Bui, Q.V.: Permanent-magnet models in finite element analysis. Montreal: McGill University, 1977 (M. Eng. thesis.) v+120 pp.
3. Kotiuga, P.R., and Silvester, P.P.: ‘Calculations of fields and force densities from finite element approximations of potentials’. Jour. Appl. Phys., vol. 57, pt. 2B, p. 3856, 1985.
4. Silvester, P.P., ‘Extended Poisson kernels for differentiation of harmonic functions’. Electrosoft, vol. 2, pp. 284–300, 1991.
5. Kellogg, O.D: Foundations of potential theory. Berlin: Springer-Verlag, 1967 (Ch. X, pp. 236 et seq.).
6. Courant, R., Hilbert, D., Methods of mathematical physics. Vol.l. New York: Interscience, 1953, pp. 377 ff.
7. Mikhlin, S.G., Multidimensional singular integrals and integral equations. [W.J.A. Whyte, I.N. Sneddon, transl.] Oxford: Pergamon Press, 1965, pp. 58–62, 131–133.
8. Stroud, A.H: Approximate calculation of multiple integrals. Englewood Cliffs, NJ: Prentice-Hall, 1971.