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一类具有小周期系数的椭圆型边值问题的双尺度渐近分析方法 被引量:17

TWO-SCALE ASYMPOTOTIC ANALYSIS METHODS FOR A CLASS OF ELLIPTIC BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC COEFFICIENTS
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摘要 A new type of computable scheme is provided for a class of elliptic bounaryvalue problems with small periodic coefficients. The principle idea of this methodis to change the computation of original problems into the solving process of theperiodic solution defined in the basic condguration and boundary layer. In thispaper, a completely rigorous mathematical theory for this process is presented. A new type of computable scheme is provided for a class of elliptic bounaryvalue problems with small periodic coefficients. The principle idea of this methodis to change the computation of original problems into the solving process of theperiodic solution defined in the basic condguration and boundary layer. In thispaper, a completely rigorous mathematical theory for this process is presented.
出处 《计算数学》 CSCD 北大核心 1999年第1期19-28,共10页 Mathematica Numerica Sinica
基金 国家自然科学基金
关键词 双尺度分析 边值问题 小周期系数 椭圆型方程 two-scale asymptotic analysis, elliptic bounary value problem, small periodic coefficient
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参考文献2

  • 1Cui Junzhi,J Comput Math,1996年,18卷,3期
  • 2Cui Junzhi,Engineering Computation and Computer Simulation,1995年

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