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Convergence acceleration of the Newton-Raphson method using successive quadratic function approximation of residual

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3 Author(s)
Chang Seop Koh ; Sch. of Electr. & Comput. Eng., Chungbuk Nat. Univ. ; Jae Seop Ryu ; Fujiwara, K.

This paper presents new methods for determining a proper relaxation factor of the Newton-Raphson method to accelerate the convergence characteristics of a nonlinear finite-element analysis. In the methods, the squared residual of the Galerkin's approximation is successively approximated to a quadratic function using the gradients or Brent's method, and a relaxation factor is determined by minimizing the quadratic function until a quasioptimum relaxation factor is obtained. The presented methods are applied to the TEAM Workshop problem 13, and the results are compared with a conventional method

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Magnetics, IEEE Transactions on  (Volume:42 ,  Issue: 4 )