Adaptive algorithm for stochastic Galerkin method.
type: Item
instance of: scholarly article
title: Adaptive algorithm for stochastic Galerkin method.
zbMATH Open document ID: 1363.65005
author: Ivana Pultarová
published in: Applications of Mathematics
publication date: 2015-09-29T00:00:00Z
full work available at URL: http://hdl.handle.net/10338.dmlcz/144391
Mathematics Subject Classification ID: 65C30
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60H35
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 6486925
zbMATH Keywords: stochastic Galerkin method
zbMATH Keywords: a posteriori error estimate
zbMATH Keywords: strengthened Cauchy-Bunyakowski-Schwarz constant
zbMATH Keywords: adaptive refinement
zbMATH Keywords: polynomial chaos expansion
zbMATH Keywords: finite element
zbMATH Keywords: algorithm
zbMATH Keywords: numerical example
describes a project that uses: ALEA
MaRDI profile type: Publication
OpenAlex ID: W2269506172
cites work: A posteriori error estimation in finite element analysis
cites work: Iterative Solution Methods
cites work: Preconditioning of Boundary Value Problems Using Elementwise Schur Complements
cites work: A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
cites work: Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
cites work: The hierarchical basis multigrid method
cites work: A Priori Error Analysis of Stochastic Galerkin Mixed Approximations of Elliptic PDEs with Random Data
cites work: Linear processes in function spaces. Theory and applications
cites work: Adaptive stochastic Galerkin FEM
cites work: A posteriori error analysis of parameterized linear systems using spectral methods
cites work: Solution of stochastic partial differential equations using Galerkin finite element techniques
cites work: Stochastic Galerkin Matrices
cites work: Finite elements for elliptic problems with stochastic coefficients
cites work: Uncertainty propagation using Wiener-Haar expansions
cites work: Block-diagonal preconditioning for spectral stochastic finite-element systems
cites work: Hierarchical preconditioning for the stochastic Galerkin method: upper bounds to the strengthened CBS constants
cites work: Q5514782
cites work: Hierarchical Schur complement preconditioner for the stochastic Galerkin finite element methods
cites work: Efficient iterative solvers for stochastic Galerkin discretizations of log-transformed random diffusion problems
cites work: Q3583848
DOI: 10.1007/S10492-015-0111-9
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description: scientific article; zbMATH DE number 6486925