GPU ACCELERATED UNCONDITIONALLY STABLE CRANK-NICOLSON FDTD METHOD FOR THE ANALYSIS OF THREE-DIMENSIONAL MICROWAVE CIRCUITS | Zendy

Kan Xu | Zendy; Zhenhong Fan | Zendy; Dazhi Ding | Zendy; Rushan Chen | Zendy

Open Access

GPU ACCELERATED UNCONDITIONALLY STABLE CRANK-NICOLSON FDTD METHOD FOR THE ANALYSIS OF THREE-DIMENSIONAL MICROWAVE CIRCUITS

Author(s) -

Kan Xu,

Zhenhong Fan,

Dazhi Ding,

Rushan Chen

Publication year - 2010

Publication title -

electromagnetic waves

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.437

H-Index - 89

eISSN - 1559-8985

pISSN - 1070-4698

DOI - 10.2528/pier10020606

Subject(s) - finite difference time domain method , graphics processing unit , speedup , computer science , crank–nicolson method , computational science , conjugate gradient method , parallel computing , electronic circuit , microwave , graphics , algorithm , finite difference method , mathematics , optics , physics , computer graphics (images) , mathematical analysis , telecommunications , quantum mechanics

The programmable graphics processing unit (GPU) is employed to accelerate the unconditionally stable Crank-Nicolson flnite-difierence time-domain (CN-FDTD) method for the analysis of microwave circuits. In order to e-ciently solve the linear system from the CN-FDTD method at each time step, both the sparse matrix vector product (SMVP) and the arithmetic operations on vectors in the bi-conjugate gradient stabilized (Bi-CGSTAB) algorithm are performed with multiple processors of the GPU. Therefore, the GPU based BI-CGSTAB algorithm can signiflcantly speed up the CN-FDTD simulation due to parallel computing capability of modern GPUs. Numerical results demonstrate that this method is very efiective and a speedup factor of 10 can be achieved.

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