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By Yuejin Z., Guodong X.

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12. 2. 130). 3. 132). 135) Note that the global right-hand-side vector d does not contribute to the global matrix system because the only nonzero entries of this vector belong to the first and the last rows. These will eventually be discarded after imposing the two Dirichlet boundary conditions at the end nodes of the domain. 134) must be evaluated either analytically or numerically. 134) can be equivalently expressed in terms of the natural coordinate instead of the x-coordinate. , from −1 to +1.

Boston: Artech House, 1998. [6] J. N. Reddy, Applied Functional Analysis and Variational Methods in Engineering. New York: McGraw-Hill, 1986. [7] S. G. Mikhlin, Variational Methods in Mathematical Physics. New York: Macmillan, 1964. [8] M. N. O. Sadiku, Numerical Techniques in Electromagnetics, 2nd ed. Boca Raton: CRC Press, 2001. [9] D. K. Cheng, Fundamentals of Engineering Electromagnetics. New York: Addison-Wesley, 1993. [10] C. H. , and D. E. Penney, Elementary Linear Algebra. New Jersey: PrenticeHall, 1988.

154). 3. REFERENCES [1] O. C. Zienkiewicz, The Finite Element Method. New York: McGraw-Hill, 1977. [2] P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers, 2nd ed. London: Cambridge University Press, 1990. [3] J. Jin, The Finite Element Method in Electromagnetics, 2nd ed. New York: Wiley-IEEE Press, 2002. [4] J. L. Volakis, A. Chatterjee, and L. C. Kempel, Finite Element Method Electromagnetics: Antennas, Microwave Circuits, and Scattering Applications. New York: Wiley-IEEE Press, 1998.

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3D magnetic field computation of a permanent magnet disc-type generator using scalar potential method by Yuejin Z., Guodong X.

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