A Novel Reduced Spectral Function Approach for Finite Element Analysis of Stochastic Dynamical Systems (Q5496954)

scientific article; zbMATH DE number 6393071

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English	A Novel Reduced Spectral Function Approach for Finite Element Analysis of Stochastic Dynamical Systems	scientific article; zbMATH DE number 6393071

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instance of

scholarly article

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title

A Novel Reduced Spectral Function Approach for Finite Element Analysis of Stochastic Dynamical Systems (English)

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Computational Methods in Stochastic Dynamics

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publication date

30 January 2015

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-94-007-5134-7_3

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cites work

Dynamic analysis of framed structures with statistical uncertainties

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Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations

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Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation

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A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters.

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Adaptive preconditioning of linear stochastic algebraic systems of equations

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Sparse grid collocation schemes for stochastic natural convection problems

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Q3997987

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Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems

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Q4304876

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PHYSICAL INTERPRETATION OF THE PROPER ORTHOGONAL MODES USING THE SINGULAR VALUE DECOMPOSITION

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Explicit solution to the stochastic system of linear algebraic equations \((\alpha _{1}\boldsymbol{A}_{1} + \alpha _{2}\boldsymbol{A}_{2} +\cdots+ \alpha _{m}\boldsymbol{A}_{m})\boldsymbol{x} = \boldsymbol{b}\)

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Random field finite elements

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An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations

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Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations

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A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations

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Generalized spectral decomposition method for solving stochastic finite element equations: invariant subspace problem and dedicated algorithms

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Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations

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Robust and efficient methods for stochastic finite element analysis using Monte Carlo simulation

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Comparative study of projection schemes for stochastic finite element analysis

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Domain decomposition of stochastic PDEs: Theoretical formulations

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The stochastic finite element method: past, present and future

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Beyond Wiener-Askey expansions: handling arbitrary PDFs

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The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

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Modeling uncertainty in flow simulations via generalized polynomial chaos.

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Identifiers

zbMATH Open document ID

1304.74060

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DOI

10.1007/978-94-007-5134-7_3

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5496954