Magnetic Field Determination

  • Richard E. Bellman
  • Robert S. Roth
Part of the Mathematics and Its Applications book series (MAIA, volume 26)


We have waited until the last chapter to discuss ,in detail, a problem using the finite element method as an approximation technique. The problem with which we will be concerned is the determination of the magnetic field arising from a set of permanent magnets arbitrarily placed in space containing material of varying permeability.


Finite Element Method Unit Cube Finite Element Approximation Finite Element Solution Magnetic Equation 
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Bibliography and Comments

  1. Gallagher, R. H.:1975, Finite Element Analysis Fundamentals, Prentice-Hall, Inc. Englewood Cliffs, N.J.Google Scholar
  2. Zienkiewicz, O.C.,:1971, The Finite Element Method in Engineering Science, McGraw-Hill, LondonGoogle Scholar
  3. Zienkiewicz, O.C.,J. Lyness and D.R.J. Owen,:1977, “Three Dimensional Magnetic Field Determination using a Scalar Potential-A Finite Element Solution”, Trans, on Magnetics, Mag 13,5, 1649–1656CrossRefGoogle Scholar
  4. Halliday D. and R. Resnick,:1966, Physics parts I and II John Wiley & Sons Inc, N.Y.Google Scholar
  5. Csendes, Z.J., J. Weiss and S. R. H. Hoole,:1982, “Alternative Formulation of 3-D Magnetostatic Field Problems”, IEEE Trans, on Magnetics, Mag-18, 2, 367–372CrossRefGoogle Scholar
  6. Kotiuga, P.R., and P. P. Silvester,1982, “Vector Potential Formulation for Three Dimensional Magnetostatics”, J. Appl. Phy. 53,11, pt 2, 8399–8401CrossRefGoogle Scholar
  7. Mohammed, O.A., W.A. Davis, B.D. Popovic, T.W. Nehl and N.A. Gemerdash,:1962, “On the Uniqueness of Solutions of Magnetostatic Vector-Potential Problem by Three Dimensional Finite Element Methods”, J. Appl. Phy. 53,11, 8402–8404CrossRefGoogle Scholar

Copyright information

© D Reidel Publishing Company 1986

Authors and Affiliations

  • Richard E. Bellman
    • 1
    • 2
  • Robert S. Roth
    • 3
  1. 1.Department of Electrical EngineeringUniversity of Southern CaliforniaLos AngelesUSA
  2. 2.Center for Applied MathematicsThe University of GeorgiaAthensUSA
  3. 3.BostonUSA

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