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Analysis of the heterogeneous multiscale method for parabolic homogenization problems

  • Ming P
  • Zhang P
Mathematics of Computation (2007) 76(257) 153-178
DOI: 10.1090/s0025-5718-06-01909-0
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Abstract

The heterogeneous multiscale method (HMM) is applied to var-ious parabolic problems with multiscale coefficients. These problems can be either linear or nonlinear. Optimal estimates are proved for the error between the HMM solution and the homogenized solution.

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Ming, P., & Zhang, P. (2007). Analysis of the heterogeneous multiscale method for parabolic homogenization problems. Mathematics of Computation, 76(257), 153–178. https://doi.org/10.1090/s0025-5718-06-01909-0

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