Browsing by Author "Wang, Wei-Cheng"

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A NULL SPACE FREE JACOBI-DAVIDSON ITERATION FOR MAXWELL'S OPERATOR
(2015-01-01)
Huang, Yin-Liang
;
Huang, Tsung-Ming
;
Lin, Wen-Wei
;
Wang, Wei-Cheng
;
應用數學系
We present an efficient null space free Jacobi-Davidson method to compute the positive eigenvalues of time harmonic Maxwell's equations. We focus on a class of spatial discretizations that guarantee the existence of discrete vector potentials, such as Yee's scheme and the edge elements. During the Jacobi-Davidson iteration, the correction process is applied to the vector potential instead. The correction equation is solved approximately as in the standard Jacobi-Davidson approach. The computational cost of the transformation from the vector potential to the corrector is negligible. As a consequence, the expanding subspace automatically stays out of the null space and no extra projection step is needed. Numerical evidence confirms that the proposed scheme indeed outperforms the standard and projection-based Jacobi-Davidson methods by a significant margin.
Self-Assembled Epitaxial Core-Shell Nanocrystals with Tunable Magnetic Anisotropy
(2015-09-02)
Liao, Sheng-Chieh
;
Chen, Yong-Lun
;
Kuo, Wei-Cheng
;
Cheung, Jeffrey
;
Wang, Wei-Cheng