On A Priori Error Analysis of Fully Discrete Heterogeneous Multiscale FEM

  title={On A Priori Error Analysis of Fully Discrete Heterogeneous Multiscale FEM},
  author={Assyr Abdulle},
  journal={Multiscale Modeling & Simulation},
Heterogeneous multiscale methods have been introduced by E and Engquist [Commun. Math. Sci., 1 (2003), pp. 87–132] as a methodology for the numerical computation of problems with multiple scales. Analyses of the methods for various homogenization problems have been done by several authors. These results were obtained under the assumption that the microscopic models (the cell problems in the homogenization context) are analytically given. For numerical computations, these microscopic models have… CONTINUE READING
Highly Influential
This paper has highly influenced 10 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
72 Citations
16 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 72 extracted citations


Publications referenced by this paper.
Showing 1-10 of 16 references

Analysis of the heterogeneous multi-scale method for elliptic homogenization problems

  • E W., P. Ming, P. Zhang
  • J. Amer. Math. Soc.,
  • 2005
Highly Influential
10 Excerpts

Vanden-Eijden, Some recent progress in multiscale modeling, in Multiscale Modelling and Simulation, Lect

  • W E, X Li
  • Notes Comput. Sci. Eng
  • 2004
1 Excerpt

Wavelet - based numerical homogenization with applications , in Multiscale and Multiresolution Methods , Lect

  • B. Engquist, O. Runborg
  • Notes Comput . Sci . Eng .
  • 2004

Finite difference HMM for homogenization problem

  • A. Abdulle, E W.
  • J. Comput. Phys.,
  • 2003
3 Excerpts

Wavelet-based numerical homogenization with applications

  • B. Engquist, O. Runborg
  • Multiscale and Multiresolution Methods, Lect…
  • 2002
1 Excerpt

Similar Papers

Loading similar papers…