Proper orthogonal decomposition and Monte Carlo based isogeometric stochastic method for material, geometric and force multi-dimensional uncertainties

DOI10.1007/s00466-018-1607-4zbMath1469.74120OpenAlexW2884644430WikidataQ113327223 ScholiaQ113327223MaRDI QIDQ670380

Kumar K. Tamma, Yong Cai, Rohit R. Deokar, Chensen Ding, Xiang Yang Cui, Guangyao Li

Publication date: 18 March 2019

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-018-1607-4

zbMATH Keywords

proper orthogonal decompositionMonte Carlo methodisogeometric stochastic analysismaterial randomness

Mathematics Subject Classification ID

Random structure in solid mechanics (74E35) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60) Isogeometric methods applied to problems in solid mechanics (74S22)

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Cites Work

• Unnamed Item
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• 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
• Contact treatment in isogeometric analysis with NURBS
• The stochastic finite element method: past, present and future
• Full analytical sensitivities in NURBS based isogeometric shape optimization
• Stochastic meshfree method for elasto-plastic damage analysis
• Discretizations in isogeometric analysis of Navier-Stokes flow
• Developments in stochastic structural mechanics
• Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop `Model order reduction, coupled problems and optimization', Leiden, The Netherlands, September 19--23, 2005.
• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
• Research directions in computational mechanics
• 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
• Stochastic finite element analysis of shells
• Computation of 3D skeletons using a generalized Delaunay triangulation technique
• 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
• Stochastic isogeometric analysis of free vibration of functionally graded plates considering material randomness
• Computational aspects of the stochastic finite element method
• ``Seen is solution a CAD/CAE integrated parallel reanalysis design system
• Spectral stochastic finite element analysis for laminated composite plates
• A perturbation method for stochastic meshless analysis in elastostatics
• An isogeometric analysis approach to gradient damage models
• A large deformation frictional contact formulation using NURBS-based isogeometric analysis
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• MONTE CARLO METHODS FOR SOLVING MULTIVARIABLE PROBLEMS
• Stochastic perturbation finite elements
• Isogeometric Analysis
• Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
• The Stochastic Perturbation Method for Computational Mechanics
• Galerkin proper orthogonal decomposition methods for parabolic problems

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