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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
【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.
【关键词】 双尺度分析;
椭圆型边值问题;
小周期系数;
【Key words】 two-scale asymptotic analysis; elliptic bounary value problem; small periodic coefficient;
【Key words】 two-scale asymptotic analysis; elliptic bounary value problem; small periodic coefficient;
【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