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Extend Two-Step Preconditioning Technique for the Crank-Nicolson Finite-Difference Time-Domain Method to Analyze the 3D Microwave Circuits

机译:扩展了Crank-Nicolson时差有限域法的两步预处理技术,以分析3D微波电路

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摘要

The increase of the time-step size significantly deteriorates the property of the coefficient matrix generated from the Crank-Nicolson finite-difference time-domain method. As a result, the convergence of classical iterative methods, such as generalized minimal residual method (GMRES) would be substantially slowed down. The main purpose of this article is to show that the two-step preconditioner can greatly accelerate the convergence of the iterative method, such as GMRES. Numerical simulations show that this two-step preconditioned GMRES iterative method has a faster convergence speed than those methods when the preconditioner is used alone.
机译:时间步长的增加大大降低了由Crank-Nicolson时域有限差分法生成的系数矩阵的性能。结果,经典迭代方法(例如广义最小残差方法(GMRES))的收敛将大大减慢。本文的主要目的是证明两步预处理器可以极大地加快迭代方法(例如GMRES)的收敛。数值模拟表明,与单独使用预处理器相比,这种两步预处理的GMRES迭代方法具有更快的收敛速度。

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  • 作者单位

    Department of Electronic Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China Department of Communication Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;

    Department of Communication Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;

    Department of Communication Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;

    Department of Electronic Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    crank-nicolson (CN) scheme; FDTD; GMRES; preconditioning techniques;

    机译:crank-nicolson(CN)计划;FDTD;GMRES;预处理技术;

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