Two-Order and Two-Scale Computation Method for Nonselfadjoint Elliptic Problems With Rapidly Oscillatory Coefficients

SU Fang; CUI Jun-zhi; XU Zhan

doi:10.3879/j.issn.1000-0887.2009.12.009

Volume 30 Issue 12

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SU Fang, CUI Jun-zhi, XU Zhan. Two-Order and Two-Scale Computation Method for Nonselfadjoint Elliptic Problems With Rapidly Oscillatory Coefficients[J]. Applied Mathematics and Mechanics, 2009, 30(12): 1482-1492. doi: 10.3879/j.issn.1000-0887.2009.12.009

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Two-Order and Two-Scale Computation Method for Nonselfadjoint Elliptic Problems With Rapidly Oscillatory Coefficients

doi: 10.3879/j.issn.1000-0887.2009.12.009

1.
Department of Mathematics and Systems Science, National University of Defense Technology, Changsha 410073, P. R. China;

Received Date: 2009-05-05
Rev Recd Date: 2009-10-04
Publish Date: 2009-12-15

Abstract

Abstract

The purpose was to solve nonselfadjoint elliptic problems with rapidly oscillatory coefficients.A two-order and two-scale approximate solution expression for nonselfadjoint elliptic problems was considered,and the error estimation of the two-order and two-scale approximate solution was derived.The numerical result shows that the approximation solution is effective.
- nonselfadjoint elliptic problems,
- rapidly oscillatory coefficients,
- two-order and two-scale finite element method

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References(17)

References

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