An iterative polynomial chaos approach toward stochastic elastostatic structural analysis with non‐Gaussian randomness
Sign Up to like & getrecommendations! Published in 2019 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.6086
Abstract: Stochastic analysis of structure with non‐Gaussian material property and loading in the framework of polynomial chaos (PC) is considered. A new approach for the solution of stochastic mechanics problem with random coefficient is presented. The… read more here.
Keywords: analysis; mechanics; method; polynomial chaos ... See more keywords
An adaptive polynomial chaos expansion for high-dimensional reliability analysis
Sign Up to like & getrecommendations! Published in 2020 at "Structural and Multidisciplinary Optimization"
DOI: 10.1007/s00158-020-02594-4
Abstract: Efficiency is greatly concerned in reliability analysis community, especially for the problems with high-dimensional input random variables, because the computation cost of common reliability analysis methods may increase sharply with respect to the dimension of… read more here.
Keywords: reliability; pce; reliability analysis; polynomial chaos ... See more keywords
Surrogate combining harmonic decomposition and polynomial chaos for seismic shear waves in uncertain media
Sign Up to like & getrecommendations! Published in 2017 at "Computational Geosciences"
DOI: 10.1007/s10596-017-9677-5
Abstract: A polynomial chaos (PC) surrogate is proposed to reconstruct seismic time series in one-dimensional (1D) uncertain media. Our approach overcomes the deterioration of the PC convergence rate during long time integration. It is based on… read more here.
Keywords: uncertain media; harmonic decomposition; chaos; polynomial chaos ... See more keywords
Polynomial (chaos) approximation of maximum eigenvalue functions
Sign Up to like & getrecommendations! Published in 2019 at "Numerical Algorithms"
DOI: 10.1007/s11075-018-00648-9
Abstract: This paper is concerned with polynomial approximations of the spectral abscissa function (defined by the supremum of the real parts of the eigenvalues) of a parameterized eigenvalue problem, which are closely related to polynomial chaos… read more here.
Keywords: approximation maximum; maximum eigenvalue; chaos approximation; chaos ... See more keywords
Modeling and Reducing the Effect of Geometric Uncertainties in Intracranial Aneurysms with Polynomial Chaos Expansion, Data Decomposition, and 4D-Flow MRI.
Sign Up to like & getrecommendations! Published in 2021 at "Cardiovascular engineering and technology"
DOI: 10.1007/s13239-020-00511-w
Abstract: PURPOSE Variations in the vessel radius of segmented surfaces of intracranial aneurysms significantly influence the fluid velocities given by computer simulations. It is important to generate models that capture the effect of these variations in… read more here.
Keywords: fluid velocities; flow mri; uncertainty; intracranial aneurysms ... See more keywords
Non-intrusive polynomial chaos expansion for topology optimization using polygonal meshes
Sign Up to like & getrecommendations! Published in 2018 at "Journal of the Brazilian Society of Mechanical Sciences and Engineering"
DOI: 10.1007/s40430-018-1464-2
Abstract: This paper deals with the applications of stochastic spectral methods for structural topology optimization in the presence of uncertainties. A non-intrusive polynomial chaos expansion is integrated into a topology optimization algorithm to calculate low-order statistical… read more here.
Keywords: non intrusive; topology; topology optimization; optimization ... See more keywords
Sparse Polynomial Chaos expansion for advanced nuclear fuel cycle sensitivity analysis
Sign Up to like & getrecommendations! Published in 2020 at "Annals of Nuclear Energy"
DOI: 10.1016/j.anucene.2020.107430
Abstract: Abstract Uncertainty and sensitivity analyses are required in fuel cycle analyses for studying the viability of electronuclear scenarios by means of their response to variations in the input parameters. This implies that nuclear fuel cycle… read more here.
Keywords: nuclear fuel; cycle; sensitivity; fuel cycle ... See more keywords
All-at-once approach to multifidelity polynomial chaos expansion surrogate modeling
Sign Up to like & getrecommendations! Published in 2017 at "Aerospace Science and Technology"
DOI: 10.1016/j.ast.2017.07.043
Abstract: Abstract A new approach to multifidelity, gradient-enhanced surrogate modeling using polynomial chaos expansions is presented. This approach seeks complementary additive and multiplicative corrections to low-fidelity data whereas current hybrid methods in the literature attempt to… read more here.
Keywords: approach multifidelity; surrogate; polynomial chaos; approach ... See more keywords
High-dimensional uncertainty quantification for Mars atmospheric entry using adaptive generalized polynomial chaos
Sign Up to like & getrecommendations! Published in 2020 at "Aerospace Science and Technology"
DOI: 10.1016/j.ast.2020.106240
Abstract: Abstract The probabilistic uncertainties in Mars atmospheric entry degrade the entry guidance performance. The propagation law of high-dimensional uncertainty during Mars atmospheric entry is still an open problem that should be investigated. The current work… read more here.
Keywords: entry; generalized polynomial; polynomial chaos; mars atmospheric ... See more keywords
Optimal experiment design under parametric uncertainty: A comparison of a sensitivities based approach versus a polynomial chaos based stochastic approach
Sign Up to like & getrecommendations! Published in 2020 at "Chemical Engineering Science"
DOI: 10.1016/j.ces.2020.115651
Abstract: Abstract In order to estimate parameters accurately in nonlinear dynamic systems, experiments that yield a maximum of information are invaluable. Such experiments can be obtained by exploiting model-based optimal experiment design techniques, which use the… read more here.
Keywords: information; optimal experiment; experiment design; polynomial chaos ... See more keywords
A preconditioning approach for improved estimation of sparse polynomial chaos expansions
Sign Up to like & getrecommendations! Published in 2018 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.08.005
Abstract: Abstract Compressive sampling has been widely used for sparse polynomial chaos (PC) approximation of stochastic functions. The recovery accuracy of compressive sampling highly depends on the incoherence properties of the measurement matrix. In this paper,… read more here.
Keywords: accuracy; chaos expansions; chaos; sparse polynomial ... See more keywords