Practical application of the stochastic finite element method
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Publication:338784
DOI10.1007/s11831-014-9139-3zbMath1348.65160OpenAlexW2094780058WikidataQ57318930 ScholiaQ57318930MaRDI QIDQ338784
José David Arregui-Mena, Lee Margetts, Paul M. Mummery
Publication date: 7 November 2016
Published in: Archives of Computational Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11831-014-9139-3
Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Monte Carlo methods (65C05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
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- Stochastic finite element with material uncertainties: implementation in a general purpose simulation program
- One-to-many node-disjoint paths of hyper-star networks
- Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations
- Adaptive sparse polynomial chaos expansion based on least angle regression
- Accurate estimation of evolutionary power spectra for strongly narrow-band random fields
- The stochastic finite element method: past, present and future
- Stochastic finite element analysis of long-span bridges with CFRP cables under earthquake ground motion
- A reduced polynomial chaos expansion method for the stochastic finite element analysis
- Developments in stochastic structural mechanics
- Buckling analysis of imperfect shells with stochastic non-Gaussian material and thickness properties
- Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis
- Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach
- Transient thermal stresses in a rectangular plate due to variation of heat-transfer coefficients on upper and lower surfaces
- A variational approach to the theory of the elastic behaviour of multiphase materials
- Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods
- Efficient computational procedures for reliability estimates of MDOF-systems
- Observations with regard to massively parallel computation for Monte Carlo simulation of stochastic dynamical systems
- On advanced Monte Carlo simulation procedures in stochastic structural dynamics
- Finite elements for elliptic problems with stochastic coefficients
- Probabilistic finite element analysis of a craniofacial finite element model
- Multiple scale computational model for damage in composite materials
- Ingredients for a general purpose stochastic finite elements implementation
- Parallel solution methods for stochastic finite element analysis using Monte Carlo simulation
- Computational aspects of the stochastic finite element method
- Karhunen-Loève approximation of random fields by generalized fast multipole methods
- Numerical solution of spectral stochastic finite element systems
- Elastic properties of reinforced solids: Some theoretical principles
- Random field finite elements
- The stochastic finite-element method
- The intrinsic random functions and their applications
- Power Diagrams: Properties, Algorithms and Applications
- The convergence variability of parallel iterative solvers
- Microstructural Randomness and Scaling in Mechanics of Materials
- On computational stochastic structural dynamics applying finite elements
- Random heterogeneous materials. Microstructure and macroscopic properties
