Sparse polynomial approximation in positive order Sobolev spaces with bounded mixed derivatives and applications to elliptic problems with random loading
type: Item
instance of: scholarly article
title: Sparse polynomial approximation in positive order Sobolev spaces with bounded mixed derivatives and applications to elliptic problems with random loading
zbMATH Open document ID: 1253.65184
author: Alexey Chernov
published in: Applied Numerical Mathematics
publication date: 2012-05-04T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 6030366
zbMATH Keywords: sparse polynomial discretization
zbMATH Keywords: \(p\)-version FEM
zbMATH Keywords: spectral element method
zbMATH Keywords: random data
zbMATH Keywords: continuous finite elements
zbMATH Keywords: sparse tensor product polynomials
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: optimal convergence
zbMATH Keywords: finite element method
zbMATH Keywords: elliptic differential equation
zbMATH Keywords: elliptic integral equation
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.apnum.2011.06.015
OpenAlex ID: W2049119935
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DOI: 10.1016/J.APNUM.2011.06.015
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reviewed by: Zhiming Chen
description: scientific article; zbMATH DE number 6030366