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中文摘要：
针对三维Helmholtz方程Dirichlet边界问题，提出一种高阶快速数值算法。该算法采用高阶有限差分方法离散化，利用FFT方法将离散方程缩小为规模较小的界面线性方程，可用直接法快速有效地求解。基于该方法可构造出解决三维Helmholtz方程的高阶快速数值算法，数值实验验证了算法的准确性和有效性。
英文摘要：
Aiming at the Dirichlet boundary problem of 3D Helmholtz equation, a high-order fast numerical algorithm is proposed. The algorithm is discretized by using the high-order finite difference method, and then exploiting the dis- crete Fourier transformation, the discrete system is reduce to a much smaller interface linear system. Direct methods are availed to solve this interface linear system. Numerical results demonstrate the remarkable accuracy and efficiency of the proposed algorithm.
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同项目期刊论文
New Preconditioners with Two Variable Relaxation Parameters for the Discretized Time-Harmonic Maxwel
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