A novel algorithm for the stochastic analysis of electric field problems considering material and spatial uncertainties

被引：1

作者：

Feng, S. Z. ^{[1
]}

Sun, Q. J. ^{[1
]}

Han, X. ^{[1
]}

Incecik, Atilla ^{[2
]}

Li, Z. X. ^{[3
,4
]}

机构：

[1] Hebei Univ Technol, State Key Lab Reliabil & Intelligence Elect Equipm, Tianjin 300130, Peoples R China

[2] Univ Strathclyde, Dept Naval Architecture Ocean Marine Engn, Glasgow City G11XQ, Scotland

[3] Opole Univ Technol, Fac Mech Engn, PL-45758 Opole, Poland

[4] Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2023年 / 133卷

基金：

美国国家科学基金会;

关键词：

Electric field problems; Stochastic analysis; Stochastic perturbation method; Random field; FINITE-ELEMENT-METHOD; NODAL INTEGRATION METHOD; G SPACE THEORY; WEAK W-2 FORM; UNIFIED FORMULATION; MECHANICS PROBLEMS; ALPHA-FEM; ES-FEM; GRADIENT; SIMULATION;

D O I：

10.1016/j.camwa.2023.01.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper aims to address the material and spatial uncertainties in the stochastic electric field problem by proposing two efficient algorithms based on the stable nodal integration method (SNIM). The random variables/fields are used to describe the material and spatial uncertainties and a generalized stochastic perturbation-SNIM (GS-SNIM) method is developed to address the random-variable scenario while a random field-SNIM (RF-SNIM) method is developed to address the random-field scenario. Numerical examples are studied to fully verify the accuracy and efficiency of the proposed GS/RF-SNIM. The analysis results demonstrate that (1) the GS-SNIM is able to solve the random-variable based uncertainties through different orders expansion; (2) the RF-SNIM can calculate the expected values and variances of the stochastic electric field problem; and (3) the present methods produce accurate stochastic analysis results and significantly reduce the computational cost.

引用

页码：124 / 141

页数：18

共 67 条

[41] An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order [J].