Heaviside enriched extended stochastic FEM for problems with uncertain material interfaces
type: Item
instance of: scholarly article
title: Heaviside enriched extended stochastic FEM for problems with uncertain material interfaces
zbMATH Open document ID: 1329.74279
author: Christapher Lang
author: Ashesh Sharma
author: Alireza Doostan
author: Kurt Maute
published in: Computational Mechanics
publication date: 2015-11-09T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N75
Mathematics Subject Classification ID: 74A50
zbMATH DE Number: 6505873
zbMATH Keywords: X-SFEM
zbMATH Keywords: level set method
zbMATH Keywords: Heaviside enrichment
zbMATH Keywords: polynomial chaos
zbMATH Keywords: uncertainty quantification
MaRDI profile type: Publication
Wikidata QID: Q113327597
full work available at URL: s00466-015-1199-1
OpenAlex ID: W1813275832
cites work: Imposing essential boundary conditions in mesh-free methods
cites work: The extended/generalized finite element method: An overview of the method and its applications
cites work: Coherence motivated sampling and convergence analysis of least squares polynomial chaos regression
cites work: A finite element method for the simulation of strong and weak discontinuities in solid mechanics
cites work: Nitsche’s method for general boundary conditions
cites work: Extended stochastic FEM for diffusion problems with uncertain material interfaces
cites work: A simple and efficient preconditioning scheme for Heaviside enriched XFEM
cites work: A finite element method for crack growth without remeshing
cites work: eXtended Stochastic Finite Element Method for the numerical simulation of heterogeneous materials with random material interfaces
cites work: X-SFEM, a computational technique based on X-FEM to deal with random shapes
cites work: An extended stochastic finite element method for solving stochastic partial differential equations on random domains
cites work: Homogenization of random heterogeneous media with inclusions of arbitrary shape modeled by XFEM
cites work: Q4265376
cites work: The stochastic finite element method: past, present and future
cites work: Identification of random shapes from images through polynomial chaos expansion of random level set functions
cites work: On some techniques for approximating boundary conditions in the finite element method
cites work: Modeling holes and inclusions by level sets in the extended finite element method
cites work: A level set simulation of dendritic solidification with combined features of front-tracking and fixed-domain methods
cites work: Finite cover method for linear and non-linear analyses of heterogeneous solids
cites work: Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures
cites work: A level set method for structural topology optimization.
cites work: Q3583848
cites work: The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
DOI: 10.1007/S00466-015-1199-1
description: scientific article; zbMATH DE number 6505873