Polynomial Chaos Expansion mit räumlich adaptiven Sparse Grids [PDF]
, 2020 Die Polynomial Chaos Expansion (generalized Polynomial Chaos) ist eine Methode aus der Uncertainty Quantification. Mit ihr können die stochastischen Momente einer Funktion R, deren Parameter gemäß Verteilungsfunktionen verteilt sind, schnell berechnet ...
Albrecht, Thomas
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Mechanics & Industry, 2023 Surface response models, such as polynomial chaos Expansion, are commonly used to deal with the case of uncertain input parameters. Such models are only surrogates, so it is necessary to develop tools to assess the level of error between the reference ...
Serra Quentin, Florentin Eric
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Compressive sensing adaptation for polynomial chaos expansions [PDF]
Journal of Computational Physics, 2019 Submitted to Journal of Computational ...
Panagiotis Tsilifis +7 more
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Neumann enriched polynomial chaos approach for stochastic finite element problems [PDF]
, 2021 An enrichment scheme based upon the Neumann expansion method is proposed to augment the deterministic coefficient vectors associated with the polynomial chaos expansion method.
Adhikari, S., Pryse, S. E.
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Performance of non-intrusive uncertainty quantification in the aeroservoelastic simulation of wind turbines [PDF]
Wind Energy Science, 2019 The present paper characterizes the performance of non-intrusive uncertainty quantification methods for aeroservoelastic wind turbine analysis. Two different methods are considered, namely non-intrusive polynomial chaos expansion and Kriging.
P. Bortolotti +4 more
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A posteriori error estimation for stochastic static problems [PDF]
, 2014 To solve stochastic static field problems, a discretization by the Finite Element Method can be used. A system of equations is obtained with the unknowns (scalar potential at nodes for example) being random variables. To solve this stochastic system, the
MAC, Hung, CLENET, Stephane
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Polynomial Chaos Helps Assessing Parameters Variations of PCB Lines [PDF]
, 2011 This paper presents an effective solution for the analysis of long PCB interconnects with the inclusion of uncertainties resulting from different sources of variation, like temperature or fabrication process, on both the structure and loading conditions.
Stievano, Igor Simone +5 more
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From wind to loads: wind turbine site-specific load estimation with surrogate models trained on high-fidelity load databases [PDF]
Wind Energy Science, 2018 We define and demonstrate a procedure for quick assessment of site-specific lifetime fatigue loads using simplified load mapping functions (surrogate models), trained by means of a database with high-fidelity load simulations.
N. Dimitrov +3 more
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Polynomial Chaos-Based Tolerance Analysis of Microwave Planar Guiding Structures [PDF]
, 2011 This paper focuses on the derivation of an enhanced transmission-line model allowing to describe a realistic microwave interconnect with the inclusion of external uncertainties, like tolerances or process variations. The proposed method, that is based on
Paolo Manfredi +3 more
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A Posteriori Validation of Generalized Polynomial Chaos Expansions
SIAM Journal on Applied Dynamical Systems, 2023 Generalized polynomial chaos expansions are a powerful tool to study differential equations with random coefficients, allowing in particular to efficiently approximate random invariant sets associated to such equations. In this work, we use ideas from validated numerics in order to obtain rigorous a posteriori error estimates together with existence ...
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