Preconditioned CG Methods for a Variable-Coefficient Nonlocal Diffusion Model

被引：0
|
作者：
Ran, Yu-Hong [1 ]
Yan, Min [1 ]
机构：
[1] Northwest Univ, Sch Math, Ctr Nonlinear Studies, Xian 710127, Shaanxi, Peoples R China
来源：
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2022年
基金：
中国国家自然科学基金;
关键词：
Nonlocal diffusion model; fast collocation method; Toeplitz matrix; CG method; pre-conditioner; CIRCULANT PRECONDITIONER; ITERATIVE METHODS; APPROXIMATION;
D O I：
10.4208/eajam.290921.250122
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A variable-coefficient nonlocal diffusion model is discretized by an improved fast collocation scheme. The resulting linear system has a symmetric positive definite Toeplitz-like coefficient matrix. The preconditioned CG methods with Toeplitz and circulant preconditioners are used for solving the discretized linear system. Numerical experiments demonstrate the effectiveness of the preconditioned CG methods.
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收藏
页数：15
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