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Keywords: Time-periodic finite element method
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Journal Articles

Performance of Krylov subspace method with SOR preconditioner supported by Eisenstat’s technique for linear system derived from time-periodic FEM

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Makoto Kumagai, Shimpei Kakita, Yoshifumi Okamoto
Journal: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
COMPEL (2019) 38 (5): 1641–1654.
https://doi.org/10.1108/COMPEL-12-2018-0492
Published: 02 October 2019
...Makoto Kumagai; Shimpei Kakita; Yoshifumi Okamoto Purpose This paper aims to present the affinity of BiCGStab and BiCGStab2 with successive over-relaxation (SOR) preconditioner supported by Eisenstat’s technique for a linear system derived from the time-periodic finite element method (TP-FEM...
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Journal Articles

Enhancement of convergence characteristics of Newton-Raphson method with line search for nonlinear eddy current analysis based on time-periodic FEM

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Shimpei Kakita, Yoshifumi Okamoto
Journal: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
COMPEL (2019) 38 (5): 1627–1640.
https://doi.org/10.1108/COMPEL-12-2018-0491
Published: 27 September 2019
...Shimpei Kakita; Yoshifumi Okamoto Purpose The paper aims to improve convergence characteristics of the Newton–Raphson (NR) method applied to time-periodic finite element method using various line searches, as time-periodic finite element method causes deterioration of convergence characteristic...
View article titled, Enhancement of convergence characteristics of Newton-Raphson method with line search for nonlinear eddy current analysis based on time-periodic FEM
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