A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media

@inproceedings{Hou1997AMF,
  title={A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media},
  author={Thomas Y. Hou and Xiao-Hui Wu},
  year={1997}
}
In this paper, we study a multiscale finite element method for solving a class of elliptic problems arising from composite materials and flows in porous media, which contain many spatial scales. The method is designed to efficiently capture the large scale behavior of the solution without resolving all the small scale features. This is accomplished by constructing the multiscale finite element base functions that are adaptive to the local property of the differential operator. Our method is… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 750 CITATIONS

An XFEM-based model for fluid flow in fractured porous media

VIEW 4 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

Improving robustness in multiscale methods

VIEW 16 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

Numerical Homogenization of Well Singularities in the Flow Transport through Heterogeneous Porous Media

  • Multiscale Modeling & Simulation
  • 2003
VIEW 6 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

A residual-driven local iterative corrector scheme for the multiscale finite element method

  • J. Comput. Physics
  • 2019
VIEW 8 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

FILTER CITATIONS BY YEAR

1997
2019

CITATION STATISTICS

  • 102 Highly Influenced Citations

  • Averaged 51 Citations per year from 2017 through 2019

References

Publications referenced by this paper.
SHOWING 1-10 OF 31 REFERENCES

Convergence of a multiscale nite element method for elliptic problems with rapidly oscillating coe cients

T. Y. Hou, X. H. Wu, Z. Cai
  • 1996
VIEW 10 EXCERPTS
HIGHLY INFLUENTIAL

Special nite element methods for a class of second order elliptic problems with rough coe cients

I. Babu ska, G. Caloz, E. Osborn
  • SIAM J. Numer. Anal.,
  • 1994
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Matrix-denpendent prologation and restrictions in a blackbox multigrid solver

P. M. De Zeeuw
  • J. Comput. Applied Math., 33:1{27
  • 1990
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Similar Papers

Loading similar papers…