An efficient spectral element method (SEM) based on Gauss-Lobatto-Legendre (GLL) polynomials is proposed for the semiconductor transient simulation. The fully coupled Newton iteration method is employed to solve the nonlinear drift-diffusion model. The mix-order basis functions with different variables and domains are employed to give a full play to the superiority of the proposed SEM. The PIN diode with quasi one-dimensional structure has been analyzed, and the numerical results have demonstrated the efficiency and accuracy of the proposed method.
机构:
Guizhou Univ Finance & Econ, Computat Math Res Ctr, Guiyang, Peoples R ChinaGuizhou Univ Finance & Econ, Computat Math Res Ctr, Guiyang, Peoples R China
Zhang, Jun
Wang, JinRong
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Guizhou Univ, Dept Math, Guiyang 550025, Peoples R China
Qufu Normal Univ, Sch Math Sci, Qufu, Shandong, Peoples R ChinaGuizhou Univ Finance & Econ, Computat Math Res Ctr, Guiyang, Peoples R China
Wang, JinRong
Zhou, Yong
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Xiangtan Univ, Dept Math, Xiangtan, Peoples R China
King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Jeddah, Saudi ArabiaGuizhou Univ Finance & Econ, Computat Math Res Ctr, Guiyang, Peoples R China
机构:
Xiamen Univ, Sch Math & Sci, Xiamen 361005, Peoples R ChinaXiamen Univ, Sch Math & Sci, Xiamen 361005, Peoples R China
An, Jing
Shen, Jie
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Xiamen Univ, Sch Math & Sci, Xiamen 361005, Peoples R China
Purdue Univ, Dept Math, W Lafayette, IN 47907 USAXiamen Univ, Sch Math & Sci, Xiamen 361005, Peoples R China