期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 310, 期 -, 页码 63-84出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2016.01.015
关键词
Anomalous diffusion; Circulant matrix; Conjugate gradient squared method; Fast Fourier transform; Space-fractional diffusion equation; Toeplitz matrix; Volume penalization
资金
- National Science Foundation [EAR-0934747, DMS-1216923]
- OSD/ARO MURI Grant [W911NF-15-1-0562]
- National Natural Science Foundation of China [91130010, 11471194, 11571115]
- Taishan research project of Shandong Province
- State Scholarship Fund from China Scholarship Council [201306220110]
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. (C) 2016 Elsevier Inc. All rights reserved.
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