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Performance of MOL for Surface Motion Driven by a Laplacian of Curvature

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Numerical Treatment of Multiphase Flows in Porous Media

Part of the book series: Lecture Notes in Physics ((LNP,volume 552))

Abstract

We analyze the performance of the method of lines when solving a partial differential equation system describing microstructural evolution in a sintering process. The system involves a fourth order nonlinear partial differential equation with a moving boundary. Both sequential and parallel ordinary differential equation solvers are applied.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Oakland University, Rochester, Michigan, 48309, USA

    Wen Zhang

  2. Department of Mathematics, Southern Methodist University, Dallas, Texas, 75275, USA

    Ian Gladwell

Authors
  1. Wen Zhang
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  2. Ian Gladwell
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Southern Methodist University, Box 750156, 75275-0156, Dallas, TX, USA

    Zhangxin Chen

  2. Institute for Scientific Computation, Texas A&M University, 77843-3404, College Station, TX, USA

    Richard E. Ewing

  3. Institute of ComputaTional Mathematics, Chinese Academy of Sciences, P.O.Box 2719, 100080, Beijing, P.R.China

    Zhong-Ci Shi

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© 2000 Springer-Verlag Berlin Heidelberg

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Zhang, W., Gladwell, I. (2000). Performance of MOL for Surface Motion Driven by a Laplacian of Curvature. In: Chen, Z., Ewing, R.E., Shi, ZC. (eds) Numerical Treatment of Multiphase Flows in Porous Media. Lecture Notes in Physics, vol 552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45467-5_37

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  • DOI: https://doi.org/10.1007/3-540-45467-5_37

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67566-2

  • Online ISBN: 978-3-540-45467-0

  • eBook Packages: Springer Book Archive

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