发展方程初边值问题的高阶差分-边界积分方程法及误差分析

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基金项目: 国家自然科学基金资助项目

A Coupling Method of Difference with High Order Accuracy and Boundary Integral Equation for Evolutionary Equation and Its Error Estimates

摘要: 本文结合差分方法与边界积分方程方法,提出并研究了一类新的求解发展型方程初边值问题的高阶差分与边界积分方程耦合数值方法.对于有界区域问题与无界区域问题给出了数值计算格式及其误差的先验估计.
- 高阶差分 /
- 边界元 /
- 发展方程 /
- 耦合方法 /
- 误差估计
Abstract: In the present paper,a new numerical method for solving initial-boundary value problems of evolutionary equations is proposed and studied,combining difference method with high accuracy with boundary integral equation method.The numerical approximate schemes for both problems on a bounded or unbounded domain in R³ are proposed and their prior error estimates are obtained.
- difference with high order accuracy /
- boundary finite element /
- evolutionary equation /
- error estimates /

[1]	羊丹平,非线性抛物型初边值问题的差分边界有限元藕合方法及误差估计(待发表).
[2]	Lions,J.L.and E.Magenes,Non-Homogeneous Boundary Value Problems and Applications,I,Springer-Verlag,New York,Heidelberg,Berlin(1973).
[3]	Adams,R.A.,Sobolev Spaces,Acad.Press,New York(1975).