Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties
DOI10.1016/j.cma.2019.02.004zbMath1441.74295OpenAlexW2913860281WikidataQ128373599 ScholiaQ128373599MaRDI QIDQ2174139
Guangyao Li, Yanjun Ding, Rohit R. Deokar, Chensen Ding, Stéphane Pierre Alain Bordas, Kumar K. Tamma, Xiang Yang Cui
Publication date: 20 April 2020
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.2019.02.004
stochastic isogeometric analysishigh-dimensional and independent material uncertaintiesmodel order reduction via proper orthogonal decompositionMonte Carlo simulation (MCS)
Monte Carlo methods (65C05) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)
Related Items (10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Practical application of the stochastic finite element method
- Reduced order methods for modeling and computational reduction
- Generalized stochastic cell-based smoothed finite element method (GS\_CS-FEM) for solid mechanics
- Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients
- Isogeometric boundary element analysis using unstructured T-splines
- Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems
- The stochastic finite element method: past, present and future
- Stochastic meshfree method for elasto-plastic damage analysis
- Adaptive reduced basis strategy based on goal oriented error assessment for stochastic problems
- Theories and finite elements for multilayered anisotropic, composite plates and shells.
- Improving the computational efficiency in finite element analysis of shells with uncertain properties
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- Stochastic analysis of a thermoelastic problem in functionally graded plates with uncertain material properties
- Stochastic finite element analysis of shells with combined random material and geometric properties.
- Stochastic analysis using the generalized perturbation stable node-based smoothed finite element method
- A reduced-order model for Monte Carlo simulations of stochastic groundwater flow
- A scaled boundary finite element formulation with bubble functions for elasto-static analyses of functionally graded materials
- Theory and methodology for estimation and control of errors due to modeling, approximation, and uncertainty
- Stochastic finite element analysis of shells
- Model reduction for compressible flows using POD and Galerkin projection
- Stochastic second-order BEM perturbation formulation
- Ingredients for a general purpose stochastic finite elements implementation
- Parallel solution methods for stochastic finite element analysis using Monte Carlo simulation
- Isogeometric generalized \(n\)th order perturbation-based stochastic method for exact geometric modeling of (composite) structures: static and dynamic analysis with random material parameters
- Isogeometric analysis: an overview and computer implementation aspects
- Stochastic finite element method for free vibration characteristics of random FGM beams
- Stochastic multi-scale finite element based reliability analysis for laminated composite structures
- Shape optimization directly from CAD: an isogeometric boundary element approach using T-splines
- Exact and efficient isogeometric reanalysis of accurate shape and boundary modifications
- Stochastic isogeometric analysis of free vibration of functionally graded plates considering material randomness
- Accelerating Monte Carlo estimation with derivatives of high-level finite element models
- ``Seen is solution a CAD/CAE integrated parallel reanalysis design system
- Isogeometric structural shape optimization
- A perturbation method for stochastic meshless analysis in elastostatics
- PROPER ORTHOGONAL DECOMPOSITION AND ITS APPLICATIONS—PART I: THEORY
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- MONTE CARLO METHODS FOR SOLVING MULTIVARIABLE PROBLEMS
- Stochastic perturbation finite elements
- Isogeometric Analysis
- The Stochastic Perturbation Method for Computational Mechanics
This page was built for publication: Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties