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Article
An Algorithm Using the Finite Volume Element Method and Its Splitting Extrapolation
Journal of Computational and Applied Mathematics
  • Yong Cao
  • Xiaoming He, Missouri University of Science and Technology
  • Tao Lü
Editor(s)
Efendiev, Y. and Goovaerts, M. J. and Mitsui, T. and Ng, M. and Tsuchiya, T. and Wuytack, L.
Abstract

This paper is to present a new efficient algorithm by using the finite volume element method and its splitting extrapolation. This method combines the local conservation property of the finite volume element method and the advantages of splitting extrapolation, such as a high order of accuracy, a high degree of parallelism, less computational complexity and more flexibility than a Richardson extrapolation. Because the splitting extrapolation formulas only require us to solve a set of smaller discrete subproblems on different coarser grids in parallel instead of on the globally fine grid, a large scale multidimensional problem is turned into a set of smaller discrete subproblems. Additionally, this method is efficient for solving interface problems if we regard the interfaces of the problems as the interfaces of the initial domain decomposition.

Department(s)
Mathematics and Statistics
Keywords and Phrases
  • Extrapolation,
  • Finite Volume Element Method,
  • Parallel Algorithm,
  • Domain Decomposition
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2011 Elsevier, All rights reserved.
Publication Date
1-1-2011
Citation Information
Yong Cao, Xiaoming He and Tao Lü. "An Algorithm Using the Finite Volume Element Method and Its Splitting Extrapolation" Journal of Computational and Applied Mathematics Vol. 235 Iss. 13 (2011) p. 3734 - 3742
Available at: http://works.bepress.com/xiaoming-he/16/