On spectral fuzzy-stochastic FEM for problems involving polymorphic geometrical uncertainties

DOI10.1016/j.cma.2019.02.024zbMath1441.74271OpenAlexW2922377483MaRDI QIDQ1987990

Paul Steinmann, Dmytro Pivovarov, Kai Willner

Publication date: 16 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.2019.02.024

zbMATH Keywords

imprecise probabilityrandom geometrystochastic FEMextended FEMfuzzy FEMpolymorphic uncertainties

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Micromechanical theories (74A60) Spectral and related methods applied to problems in solid mechanics (74S25)

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Polymorphic uncertainty quantification for engineering structures via a hyperplane modelling technique ⋮ A novel implicit meshless particle method: NURBS-based particle hydrodynamics (NBPH) ⋮ Analytical mechanics allows novel vistas on mathematical epidemic dynamics modeling ⋮ Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters ⋮ Fuzzy dynamics of multibody systems with polymorphic uncertainty in the material microstructure ⋮ Stochastic local FEM for computational homogenization of heterogeneous materials exhibiting large plastic deformations

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