体积约束的非局部扩散问题的加罚有限元方法
A Penalized Finite Element Method of Nonlocal Diffusion Problem with Volume Constraints
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摘要: 针对非齐次和齐次体积约束的非局部扩散问题设计了新的有限元方法——加罚有限元方法,并给出该方法的误差分析.数值算例验证了加罚有限元方法的稳定性和有效性.Abstract: We propose a finite element method, penalized finite element method, to solve a homogenous and inhomogenous nonlocal diffusion problem with volume constraints, and give error estimate of the method. Finally, we show numerical experiments to verify the theoretical results.