On spectral fuzzy-stochastic FEM for problems involving polymorphic geometrical uncertainties
type: Item
instance of: scholarly article
title: On spectral fuzzy-stochastic FEM for problems involving polymorphic geometrical uncertainties
zbMATH Open document ID: 1441.74271
author: Dmytro Pivovarov
author: K. Willner
author: Paul Steinmann
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2020-04-16T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74S25
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N75
Mathematics Subject Classification ID: 74A60
zbMATH DE Number: 7189834
zbMATH Keywords: stochastic FEM
zbMATH Keywords: fuzzy FEM
zbMATH Keywords: extended FEM
zbMATH Keywords: polymorphic uncertainties
zbMATH Keywords: imprecise probability
zbMATH Keywords: random geometry
MaRDI profile type: Publication
full work available at URL: j.cma.2019.02.024
OpenAlex ID: W2922377483
cites work: Fuzzy sets as a basis for a theory of possibility
cites work: Probability-possibility transformations, triangular fuzzy sets, and probabilistic inequalities
cites work: Q5465585
cites work: Q5312889
cites work: Fuzzy logic and approximate reasoning
cites work: Q4945158
cites work: Possibility theory and statistical reasoning
cites work: Fuzzy Measures on Finite Scales as Families of Possibility Measures
cites work: Possibility and necessity measure specification using modifiers for decision making under fuzziness.
cites work: The construction of consistent possibility and necessity measures
cites work: Towards a unified theory of imprecise probability
cites work: The theory of interval-probability as a unifying concept for uncertainty
cites work: A spectral approach for fuzzy uncertainty propagation in finite element analysis
cites work: Fuzzy uncertainty propagation in composites using Gram-Schmidt polynomial chaos expansion
cites work: High dimensional model representation for stochastic finite element analysis
cites work: Finite elements for elliptic problems with stochastic coefficients
cites work: Acceleration of uncertainty updating in the description of transport processes in heterogeneous materials
cites work: Heaviside enriched extended stochastic FEM for problems with uncertain material interfaces
cites work: Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations
cites work: An extended stochastic finite element method for solving stochastic partial differential equations on random domains
cites work: The stochastic finite element method: past, present and future
cites work: A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
cites work: An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations
cites work: A multiscale stochastic finite element method on elliptic problems involving uncertainties
cites work: The transformation method for the simulation and analysis of systems with uncertain parameters
cites work: UNCERTAINTY MODELING USING FUZZY ARITHMETIC BASED ON SPARSE GRIDS: APPLICATIONS TO DYNAMIC SYSTEMS
cites work: The Stochastic Perturbation Method for Computational Mechanics
cites work: Generalized stochastic cell-based smoothed finite element method (GS\_CS-FEM) for solid mechanics
cites work: Stochastic homogenization analysis on elastic properties of fiber reinforced composites using the equivalent inclusion method and perturbation method
cites work: On solving elliptic stochastic partial differential equations
cites work: Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
cites work: Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation
cites work: Solution of stochastic partial differential equations using Galerkin finite element techniques
cites work: Extended stochastic FEM for diffusion problems with uncertain material interfaces
cites work: eXtended Stochastic Finite Element Method for the numerical simulation of heterogeneous materials with random material interfaces
cites work: On stochastic FEM based computational homogenization of magneto-active heterogeneous materials with random microstructure
cites work: Stochastic computation based on orthogonal expansion of random fields
cites work: A reduced spectral function approach for the stochastic finite element analysis
cites work: A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
cites work: Two reduction methods for stochastic FEM based homogenization using global basis functions
cites work: Q4648724
cites work: Fuzzy sets
cites work: Integration and conditioning in numerical possibility theory
cites work: On possibilistic mean value and variance of fuzzy numbers
cites work: SET DEFUZZIFICATION AND CHOQUET INTEGRAL
cites work: A procedure for ordering fuzzy subsets of the unit interval
cites work: Partitioned treatment of uncertainty in coupled domain problems: a separated representation approach
cites work: An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
cites work: Reduced‐order modelling for linear heat conduction with parametrised moving heat sources
cites work: A numerical study of different projection-based model reduction techniques applied to computational homogenisation
cites work: Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties
cites work: A finite element method for crack growth without remeshing
cites work: THE PARTITION OF UNITY METHOD
cites work: Discontinuous enrichment in finite elements with a partition of unity method
cites work: The partition of unity finite element method: basic theory and applications
cites work: The design and analysis of the generalized finite element method

On spectral fuzzy-stochastic FEM for problems involving polymorphic geometrical uncertainties (cites work)
cites work: A computational approach to handle complex microstructure geometries.

On spectral fuzzy-stochastic FEM for problems involving polymorphic geometrical uncertainties (cites work)
cites work: The extended/generalized finite element method: An overview of the method and its applications

On spectral fuzzy-stochastic FEM for problems involving polymorphic geometrical uncertainties (cites work)
cites work: A fuzzy arithmetical approach to the solution of finite element problems with uncertain parameters.

On spectral fuzzy-stochastic FEM for problems involving polymorphic geometrical uncertainties (DOI)
DOI: 10.1016/J.CMA.2019.02.024