A fast finite volume method for conservative space-fractional diffusion equations in convex domains

作者：Jia, Jinhong; Wang, Hong^*

来源：Journal of Computational Physics, 2016, 310: 63-84.

DOI：10.1016/j.jcp.2016.01.015

• Anomalous diffusion
• Circulant matrix
• Conjugate gradient squared method
• Fast Fourier transform
• Space-fractional diffusion equation
• Toeplitz matrix
• Volume penalization

We develop a fast finite volume method for variable-coefficient, conservative space-fractional diffusion equations in convex domains via a volume-penalization approach. The method has an optimal storage and an almost linear computational complexity. The method retains second-order accuracy without requiring a Richardson extrapolation. Numerical results are presented to show the utility of the method.

• 出版日期2016-4-1
• 单位山东大学