scholarly journals A fast collocation method for a variable-coefficient nonlocal diffusion model

2017 ◽  
Vol 330 ◽  
pp. 114-126 ◽  
Author(s):  
Che Wang ◽  
Hong Wang
Keyword(s):  
Collocation Method ◽  
Diffusion Model ◽  
Variable Coefficient ◽  
Nonlocal Diffusion

scholarly journals Fast collocation method for a two-dimensional variable-coefficient linear nonlocal diffusion model

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Xuhao Zhang ◽  
Aijie Cheng
Keyword(s):  
Collocation Method ◽  
Diffusion Model ◽  
Variable Coefficient ◽  
Numerical Experiments ◽  
Krylov Subspace ◽  
Coefficient Matrix ◽  
Nonlocal Diffusion ◽  
Two Dimensional ◽  
Subspace Iteration ◽  
Dimensional Variable

Abstract In this paper, a fast collocation method is developed for a two-dimensional variable-coefficient linear nonlocal diffusion model. By carefully dealing with the variable coefficient in the integral operator and then analyzing the structure of the coefficient matrix, we can reduce the computational operations in each Krylov subspace iteration from $O(N^{2})$ O ( N 2 ) to $O(N\log N)$ O ( N log N ) and the memory requirement for the coefficient matrix from $O(N^{2})$ O ( N 2 ) to $O(N)$ O ( N ) . Numerical experiments are carried out to show the utility of the fast collocation method.

Element diffusion model with variable coefficient in bimetallic bonding process

2018 ◽  
Vol 253 ◽  
pp. 99-108 ◽  
Author(s):  
C.Y. Sun ◽  
Y.P. Cong ◽  
Q.D. Zhang ◽  
M.W. Fu ◽  
L. Li
Keyword(s):  
Diffusion Model ◽  
Variable Coefficient ◽  
Bonding Process ◽  
Element Diffusion
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