An efficient SFE method using Lagrange polynomials: application to nonlinear mechanical problems with uncertain parameters

DOI10.1016/j.cma.2007.04.017zbMath1173.74397OpenAlexW1982074547MaRDI QIDQ1033324

J. Baroth, M. Fogli, Ph. Bressolette, Cédric Chauvière

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2007.04.017

zbMATH Keywords

collocation methodsLagrange interpolationHilbertian approximationstochastic finite elements (SFE)

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Random structure in solid mechanics (74E35)

Related Items (7)

Sparse Representations in Stochastic Mechanics ⋮ Semi-reduced order stochastic finite element methods for solving contact problems with uncertainties ⋮ Solving stochastic systems with low-rank tensor compression ⋮ Multiresolution analysis for stochastic finite element problems with wavelet-based Karhunen-Loève expansion ⋮ The stochastic finite element method: past, present and future ⋮ A non-intrusive B-splines Bézier elements-based method for uncertainty propagation ⋮ Condensed SFEs for nonlinear mechanical problems

Cites Work

• Modeling uncertainty in flow simulations via generalized polynomial chaos.
• Ingredients for a general purpose stochastic finite elements implementation
• SFE method using Hermite polynomials: An approach for solving nonlinear mechanical problems with uncertain parameters
• An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
• Remarks on the Disposition of Points in Numerical Integration Formulas
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• High-Order Collocation Methods for Differential Equations with Random Inputs
• Computational Modeling of Uncertainty in Time-Domain Electromagnetics
• SYSTEMS OF FREQUENCY CURVES GENERATED BY METHODS OF TRANSLATION
• A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
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