Projection methods for stochastic dynamic systems: a frequency domain approach (Q1986213)

scientific article; zbMATH DE number 7188232

Language	Label	Description	Also known as
English	Projection methods for stochastic dynamic systems: a frequency domain approach	scientific article; zbMATH DE number 7188232

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instance of

scholarly article

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title

Projection methods for stochastic dynamic systems: a frequency domain approach (English)

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author

Yanyan Li

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published in

Computer Methods in Applied Mechanics and Engineering

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publication date

8 April 2020

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full work available at URL

https://cronfa.swan.ac.uk/Record/cronfa39849/Download/0039849-12112018124854.pdf

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zbMATH Keywords

stochastic differential equations

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eigenfunctions

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Galerkin

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finite element

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projection methods

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reduced methods

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describes a project that uses

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Uncertainty quantification. Theory, implementation, and applications

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Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients

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High-dimensional integration: The quasi-Monte Carlo way

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Accelerating Monte Carlo estimation with derivatives of high-level finite element models

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

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An exact solution for the static and dynamic analysis of FE discretized uncertain structures

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An APDM-based method for the analysis of systems with uncertainties

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Dynamic analysis of framed structures with statistical uncertainties

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Generalized Neumann expansion and its application in stochastic finite element methods

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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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Prediction of geometric uncertainty effects on fluid dynamics by polynomial chaos and fictitious domain method

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Uncertainty propagation of p-boxes using sparse polynomial chaos expansions

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A robust and efficient stepwise regression method for building sparse polynomial chaos expansions

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Compressive sampling of polynomial chaos expansions: convergence analysis and sampling strategies

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Approximation of quantities of interest in stochastic PDEs by the random discrete \(L^2\) projection on polynomial spaces

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Optimal snapshot location for computing POD basis functions

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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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Reduced Basis Methods for Partial Differential Equations

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Reduced order methods for modeling and computational reduction

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A survey of projection-based model reduction methods for parametric dynamical systems

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Enhanced goal‐oriented error assessment and computational strategies in adaptive reduced basis solver for stochastic problems

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Adaptive reduced basis strategy based on goal oriented error assessment for stochastic problems

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The stochastic finite element method: past, present and future

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

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A posteriori error estimation in finite element analysis

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Rates of change of eigenvalues and eigenvectors.

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Identifiers

zbMATH Open document ID

1440.74437

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Mathematics Subject Classification ID

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10.1016/J.CMA.2018.04.025

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Sitelinks

Mathematics(1 entry)

mardi Publication:1986213