A stochastic Galerkin cell-based smoothed finite element method (SGCS-FEM)
TLDR
In this article, the cell-based smoothed finite element method is extended to solve stochastic partial differential equations with uncertain input parameters, and the spatial field of Young's Modulus and...Abstract:
In this paper, the cell-based smoothed finite element method is extended to solve stochastic partial differential equations with uncertain input parameters. The spatial field of Young’s Modulus and...read more
Citations
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Journal ArticleDOI
Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions
TL;DR: In this article, a novel enriched finite element method (EFEM) for wave analysis is presented, where the original linear nodal shape functions are enriched by using the additional interpolation cover functions over patches of elements.
Journal ArticleDOI
Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method
Chensen Ding,Chensen Ding,Kumar K. Tamma,Haojie Lian,Yanjun Ding,Timothy Dodwell,Timothy Dodwell,Stéphane Bordas,Stéphane Bordas,Stéphane Bordas +9 more
TL;DR: In this article, a reduced-order Monte Carlo stochastic isogeometric method is proposed to quantify the effect of the load uncertainty on the structural response of thin shells and solid structures.
Journal ArticleDOI
Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions
TL;DR: In this paper , a novel enriched finite element method (EFEM) for wave analysis is presented, where the original linear nodal shape functions are enriched by using the additional interpolation cover functions over patches of elements.
References
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Book
Stochastic Finite Elements: A Spectral Approach
Roger Ghanem,Pol D. Spanos +1 more
TL;DR: In this article, a representation of stochastic processes and response statistics are represented by finite element method and response representation, respectively, and numerical examples are provided for each of them.
Journal ArticleDOI
A stabilized conforming nodal integration for Galerkin mesh-free methods
TL;DR: In this paper, a strain smoothing stabilization for nodal integration is proposed to eliminate spatial instability in nodal integrations, where an integration constraint is introduced as a necessary condition for a linear exactness in the mesh-free Galerkin approximation.
Journal ArticleDOI
Optimal discretization of random fields
Chun-Ching Li,A. Der Kiureghian +1 more
TL;DR: The new method is found to be more efficient than other existing discretization methods, and more practical than a series expansion method employing the Karhunen‐Loeve theorem, and particularly useful for stochastic finite element studies involving random media.
Journal ArticleDOI
Neumann Expansion for Stochastic Finite Element Analysis
TL;DR: In this paper, the problem of structural response variability resulting from the spatial variability of material properties of structures, when they are subjected to static loads of a deterministic nature, is dealt with with the aid of the finite element method.
Journal ArticleDOI
Polynomial Chaos in Stochastic Finite Elements
Roger Ghanem,Pol D. Spanos +1 more
TL;DR: In this article, a new method for the solution of problems involving material variability is proposed, where the material property is modeled as a stochastic process and the solution process is represented by its projections onto the spaces spanned by these polynomials.
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