Collocation methods based on radial basis functions for solving stochastic Poisson problems

被引：1

作者：

Chantasiriwan, Somchart ^{[1
]}

机构：

[1] Thammasat Univ, Fac Engn, Pathum Thani 12121, Thailand

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2007年 / 23卷 / 03期

关键词：

multiquadrics; Hermite collocation; method of fundamental solutions;

D O I：

10.1002/cnm.888

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Collocation methods based on radial basis functions can be used to provide accurate solutions to deterministic problems. For stochastic problems, accurate solutions may not be desirable if they are too sensitive to random inputs. In this paper, four methods are used to solve stochastic Poisson problems by expressing solutions in terms of source terms and boundary conditions. Comparison among the methods reveals that the method based on fundamental solutions performs better than other methods. Copyright (C) 2006 John Wiley & Sons, Ltd.

引用

页码：169 / 178

页数：10

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