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.
引用
收藏
页数：15
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