计算物理 ›› 1998, Vol. 15 ›› Issue (3): 357-362.
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段占元1, 童秉纲1, 姜贵庆2
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作者简介:
Duan Zhanyuan1, Tong Binggang1, Jiang Guiqing2
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摘要： 利用文[1]提出的有限差分-有限元混合方法,给出一种新的有限元隐式格式,它避免了在传统有限元方法中采用隐式格式时需要求解大型带状稀疏矩阵以及存储量大等问题,同时利用差分法中近似因式分解方法和PuliamTH等人为避免块对角矩阵的求解提出的对角化技术,以期提高计算效率。
关键词: 有限差分-有限元混合方法, 隐式格式, 对角化方法
Abstract: A new finite element implicit scheme is constructed by using the Hybrid Finite Difference-Finite Element Method in. The implicit scheme overcomes the diffculty of solving large sparse matrix and demanding huge capacity in traditional finite element implicit schemes and at the same time, makes use of the approximate factorization and diagonalization techniques in finite difference method to acquire high calculation efficiency.
Key words: hybrid finite difference-finite element method, implicit scheme, diagonalization
中图分类号:
O242.21
段占元, 童秉纲, 姜贵庆. 有限差分-有限元混合方法的隐式格式研究[J]. 计算物理, 1998, 15(3): 357-362.
Duan Zhanyuan, Tong Binggang, Jiang Guiqing. AN IMPLICIT SCHEME OF THE HYBRID FINITE DIFFERENCE FINITE ELEMENT METHOD[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 15(3): 357-362.
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