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Finite element scheme for the viscous Cahn-Hilliard equation with a nonconstant gradient energy coefficient

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Abstract

A finite element scheme is considered for the viscous Cahn-Hilliard equation with the nonconstant gradient energy coefficient. The scheme inherits energy decay property and mass conservation as for the classical solution. We obtain the corresponding error estimate using the extended Lax-Richtmyer equivalence theorem.

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Authors and Affiliations

  1. School of Electrical Engineering, University of Ulsan, 680-749, Ulsan, Korea

    S. M. Choo

  2. Division of General Education, Kwangwoon University, 137-701, Seoul, Korea

    Y. H. Kim

Authors
  1. S. M. Choo
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  2. Y. H. Kim
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Corresponding author

Correspondence to S. M. Choo.

Additional information

This work was supported by the Korea Research Foundation Grant (KRF-2003-002-C00033)

S. M. Choo received his degrees of B.S. and M.S. from Seoul National University. He earned his Ph.D. at Seoul Natiomal University under the direction of S.K. Chung. He has been at University of Ulsan since September, 2001. His research interest is numerical analysis and systems biology.

Y. H. Kim received her degrees of B.S. and M.S. from Yonsei University. She earned her Ph.D. at Yonsei University under the direction of M.S. Song. She has been at Kwangwoon University since September, 2003. Her reserch interests are numerical analysis and financial mathematics.

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Choo, S.M., Kim, Y.H. Finite element scheme for the viscous Cahn-Hilliard equation with a nonconstant gradient energy coefficient. JAMC 19, 385–395 (2005). https://doi.org/10.1007/BF02935813

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  • DOI: https://doi.org/10.1007/BF02935813

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