摘要
近似方案中对移动最小二乘近似(MLS)中的基函数采用带权的正交基函数,从而形成一种改进的移动最小二乘近似(IMLS),该近似比现有的移动最小二乘近似有更高的精度和效率,且不会导致系统方程产生病态。IMLS近似与Taylor展开的随机无网格迦辽金法(SEFGM)相结合构成了一种Taylor展开的改进的随机无网格迦辽金法(TSIEFGM)。用TSIEFGM对二维随机热传导问题进行了分析。通过对含随机参数的热传导问题进行分析,算例验证该方法的正确性和有效性,为解决随机热传导问题提供了一种新方法。
An improved moving least-square （IMLS） approximation is presented, in which the orthogonal function system with a weight function is used as the basis function. The IMLS approximation has a greater computational ef- ficiency and precision than the existing moving least-squares （MLS） approximation, and does not lead to an ill-con- ditioned system of equations. By combining the stochastic element-free Galerkin（SEFG） method with the IMLS ap- proximation, a Taylor expansion improved stochastic element-free Galerkin method for two-dimensional stochastic heat transfer conduction is derived. The method is correct and effective that is proved by analyzing heat transfer conduction problems with stochastic parameters. This provides a new method for solving the stochastic heat transfer conduction problems.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2012年第3期285-288,293,共5页
Journal of Natural Science of Heilongjiang University
基金
燕山大学博士基金资助项目(B272)
秦皇岛市科技攻关计划项目(201001A035)
