Treatment of multiple input uncertainties using the scaled boundary finite element method

DOI10.1016/j.apm.2021.06.021zbMath1481.65224OpenAlexW3178776164MaRDI QIDQ821830

Shaima M. Dsouza, Tittu M. Varghese, Ean Tat Ooi, Sundararajan Natarajan, Stéphane Pierre Alain Bordas

Publication date: 21 September 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2021.06.021

zbMATH Keywords

level-set methodscaled boundary finite element methodimplicitly defined interfacesnon-intrusive stochastic finite element method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Strain energy density as a Gaussian process and its utilization in stochastic finite element analysis: application to planar soft tissues ⋮ Synergistic effect of axial-torsional-radial deformation on the multi-strand helical filament artificial muscles ⋮ Novel algorithm for flexible multibody systems with hybrid uncertainties

Uses Software

• XFEM

Cites Work

• A simple and efficient preconditioning scheme for Heaviside enriched XFEM
• Adaptive sparse polynomial chaos expansion based on least angle regression
• The scaled boundary finite-element method - alias consistent infinitesimal finite-element cell method - for elastodynamics
• Reliability analysis of seepage using an applicable procedure based on stochastic scaled boundary finite element method
• Optimization of black-box problems using Smolyak grids and polynomial approximations
• An efficient forward propagation of multiple random fields using a stochastic Galerkin scaled boundary finite element method
• A stochastic scaled boundary finite element method
• Higher-order weighted integral stochastic finite element method and simplified first-order application
• Polygon scaled boundary finite elements for crack propagation modelling
• X-SFEM, a computational technique based on X-FEM to deal with random shapes
• Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework
• The scaled boundary finite element method in structural dynamics
• CONSISTENT INFINITESIMAL FINITE-ELEMENT CELL METHOD: THREE-DIMENSIONAL VECTOR WAVE EQUATION
• The Stochastic Perturbation Method for Computational Mechanics
• The stochastic Galerkin scaled boundary finite element method on random domain
• Reliability Calculations with the Stochastic Finite Element
• Modeling holes and inclusions by level sets in the extended finite element method