On the implementation of linear finite element method for nonlocal diffusion model over 2D domain
Zuoqiang Shi
TL;DR
This paper presents an efficient implementation of the linear finite element method for 2D nonlocal diffusion problems, significantly reducing computational complexity by transforming a 4D integral into a 2D integral.
Contribution
The paper introduces a novel approach to implement finite element methods for nonlocal diffusion in 2D by simplifying the integral computation from 4D to 2D.
Findings
Reduced computational complexity in nonlocal diffusion simulations
Effective implementation of finite element method for 2D nonlocal problems
Potential for faster simulations in nonlocal models
Abstract
We propose an implementation of linear finite element method for nonlocal diffusion problem in 2D space. In the implementation, we reduce the integral from 4D to 2D which would simplify the computation significantly.
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Taxonomy
TopicsAdvanced Numerical Methods in Computational Mathematics · Numerical methods in engineering · Geotechnical and Geomechanical Engineering