On very accurate enclosure of the optimal constant in the a priori error estimates for \(H_0^2\)-projection
type: Item
instance of: scholarly article
title: On very accurate enclosure of the optimal constant in the a priori error estimates for \(H_0^2\)-projection
zbMATH Open document ID: 1190.65166
author: Takehiko Kinoshita
author: Mitsuhiro T. Nakao
published in: Journal of Computational and Applied Mathematics
publication date: 2010-04-21T00:00:00Z
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 5696601
zbMATH Keywords: constructive a priori error estimates
zbMATH Keywords: Legendre polynomials
zbMATH Keywords: nonlinear fourth-order elliptic problems
zbMATH Keywords: finite element method
zbMATH Keywords: spectral method
describes a project that uses: INTERVAL_ARITHMETIC
MaRDI profile type: Publication
full work available at URL: j.cam.2009.12.044
OpenAlex ID: W2026357264
cites work: Numerical verifications of solutions for nonlinear elliptic equations
cites work: A numerical verification method for the existence of weak solutions for nonlinear boundary value problems
cites work: Numerical verifications of solutions for elliptic equations in nonconvex polygonal domains
cites work: Numerical verifications for solutions to elliptic equations using residual iterations with a higher order finite element
cites work: Numerical verification of solutions for nonlinear elliptic problems using an \(L^\infty\) residual method
cites work: Q4100478
cites work: On the best constant in the error bound for the \(H_0^1\)-projection into piecewise polynomial spaces
cites work: Q4448960
cites work: A computer-assisted instability proof for the Orr-Sommerfeld problem with Poiseuille flow
cites work: Techniques of scientific computing (Part 2)
cites work: Algorithm 763: INTERVAL_ARITHMETIC
DOI: 10.1016/J.CAM.2009.12.044
description: scientific article; zbMATH DE number 5696601