Solving the stochastic growth model with a finite element method [PDF]
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New approach in Stochastic Finite Element Method [PDF]
AbstractIn the paper, the new methodology for Stochastic Finite Element Method (SFEM) as the means to analyze structure in the probabilistic framework is presented. The concept of random influence vector is introduced and used to develop the universal formulas in the framework of SFEM that can work effectively for a wide variety of random loads ...
P. Sniady, W. Zielichowski‐Haber
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Stochastic post-processing calculation of iron losses – application to a PMSM [PDF]
To take account of the uncertainties introduced on the magnetic properties during the manufacturing process, the present work aims to focus on the stochastic modelling of iron losses in electrical machine stators.
RAMAROTAFIKA, Rindra +5 more
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A symmetric nodal conservative finite element method for the Darcy equation [PDF]
This work introduces and analyzes novel stable Petrov-Galerkin EnrichedMethods (PGEM) for the Darcy problem based on the simplest but unstable continuous P1/P0 pair.
Franca, L. P. +2 more
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Spectral Stochastic Finite Element Method for Electromagnetic Problems with Random Geometry
In electromagnetic problems, the problem geometry may not always be exactly known. One example of such a case is a rotating machine with random-wound windings.
Lehikoinen Antti
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Error estimates of finite element methods for nonlinear fractional stochastic differential equations
In this paper, we consider the Galerkin finite element approximations of the initial value problem for the nonlinear fractional stochastic partial differential equations with multiplicative noise.
Yanpeng Zhang, Xiaoyuan Yang, Xiaocui Li
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Stochastic Finite Element Simulation of Uncertain Structures Subjected to Earthquake
In present study, the stochastic finite element simulation based on the efficient Neumann expansion technique is extended for the analysis of uncertain structures under seismically induced random ground motion.
Subrata Chakraborty, Santi Sekhar Dey
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A Stochastic Wavelet Finite Element Method for 1D and 2D Structures Analysis
A stochastic finite element method based on B-spline wavelet on the interval (BSWI-SFEM) is presented for static analysis of 1D and 2D structures in this paper. Instead of conventional polynomial interpolation, the scaling functions of BSWI are employed
Xingwu Zhang +4 more
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Stochastic Finite Element Analysis of Plate Structures Considering Spatial Parameter Random Fields
For plate structures, their random parameters can be regarded as a two-dimensional random field in the plane. To solve the plate theory considering a two-dimensional random field, an efficient strategy for the stochastic finite element method was adopted.
Yan Yang, Fang-Wen Ge, Xiang Liu
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A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes [PDF]
We analyze a-posteriori error estimation and adaptive refinement algorithms for stochastic Galerkin Finite Element methods for countably-parametric elliptic boundary value problems.
Gittelson, Claude +8 more
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