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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

TWO-SCALE ASYMPOTOTIC ANALYSIS METHODS FOR A CLASS OF ELLIPTIC BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC COEFFICIENTS

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【作者】 崔俊芝曹礼群

【Author】 Cui Junzhi; Cao Liqun(Institute of Computational Mathematics and Scientific/Engineering Computing,Chinese Academy of Sciences, Beijing)

【机构】 中国科学院计算数学与科学工程计算所湖南省湘潭大学!北京航空航天大学固体力学所

【Abstract】 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.

【基金】 国家自然科学基金
  • 【文献出处】 计算数学 ,MATHEMATICA NUMERICA SINICA , 编辑部邮箱 ,1999年01期
  • 【分类号】O241
  • 【被引频次】52
  • 【下载频次】264
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