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Multigrid methods for space fractional partial differential equations

delete2015-12-01
delete16
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OA
AI
姜英军 (Yingjun Jiang) *
X
Xuejun Xu
DOI:10.1016/j.jcp.2015.08.052delete
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Abstract

Abstract

En 中文
We propose some multigrid methods for solving the algebraic systems resulting from finite element approximations of space fractional partial differential equations (SFPDEs). It is shown that our multigrid methods are optimal, which means the convergence rates of the methods are independent of the mesh size and mesh level, Moreover, our theoretical analysis and convergence results do not require regularity assumptions of the model problems. Numerical results are given to support our theoretical findings. (C) 2015 Elsevier Inc. All rights reserved.
Keywords:
Fractional differential equations
Multigrid methods
Optimal convergence
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Journal

Journal of Computational Physics cover
Journal of Computational Physics
IF:
3.8
Papers:
1.5W
Citations:
7.4W

Organization

C
chinese academy of sciences
Scholars:
56.5W
Papers: 44.9W
Citations: 704