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Alternating Direction Finite Element Method for a Class of Moving Boundary Problems

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Computational and Information Science (CIS 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3314))

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Abstract

An alternating direction finite element scheme for a class of moving boundary problems is studied. Using coordinate transformations of the spatial variants, a new domain independent of the time is obtained and an ADFE scheme on the new domain is proposed. Then the unique solvability of the approximation scheme is proved, and optimal H 1 and L 2 norm space estimates and O((Δt)2) estimate for the temporal variant are obtained.

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References

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Author information

Authors and Affiliations

  1. Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, P.R. China

    Xu-Zheng Liu

  2. Laboratory of Computational Physics, Institute of Applied Physics Computational Mathematics, Beijing, 100088, P.R. China

    Xia Cui

  3. School of Software, Tsinghua University, Beijing, 100084, P.R. China

    Jun-Hai Yong & Jia-Guang Sun

Authors
  1. Xu-Zheng Liu
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  2. Xia Cui
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  3. Jun-Hai Yong
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  4. Jia-Guang Sun
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Editor information

Editors and Affiliations

  1. School of Electronic Science and Technology, Anhui University, Hefei, Anhui, China

    Jun Zhang

  2. College of Science, Donghua University, 1882 Yan’an Xilu Road, 20051, Shanghai, China

    Ji-Huan He

  3. BASICS, Department of Computer Science and Engineering, Shanghai Jiao Tong University, 200030, Shanghai, China

    Yuxi Fu

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© 2004 Springer-Verlag Berlin Heidelberg

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Liu, XZ., Cui, X., Yong, JH., Sun, JG. (2004). Alternating Direction Finite Element Method for a Class of Moving Boundary Problems. In: Zhang, J., He, JH., Fu, Y. (eds) Computational and Information Science. CIS 2004. Lecture Notes in Computer Science, vol 3314. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30497-5_8

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  • DOI: https://doi.org/10.1007/978-3-540-30497-5_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24127-0

  • Online ISBN: 978-3-540-30497-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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