A posteriori error estimates and maximal regularity for approximations of fully nonlinear parabolic problems in Banach spaces
type: Item
instance of: scholarly article
title: A posteriori error estimates and maximal regularity for approximations of fully nonlinear parabolic problems in Banach spaces
zbMATH Open document ID: 1155.65042
published in: Numerische Mathematik
publication date: 2008-12-02T00:00:00Z
review text: The authors consider the initial value problem \(u'(t) = F(u(t)), t > 0, u(0) = u_0 \in \mathcal{B},\) where \(F: \mathcal{B} \rightarrow X\) under suitable assumptions, \(X\) and \(B\) are abstract complex Banach spaces and \(\mathcal{B} \subset B\) is an open set. The equation is discretized in time by the backward Euler method and the authors prove a posteriori error estimates for the error between the discrete and the exact solution under verifiable assumptions on the data and the computed approximations.
reviewed by: Dinh Nho Hào
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 5377095
zbMATH Keywords: fully nonlinear parabolic problems
zbMATH Keywords: a posteriori estimates
zbMATH Keywords: maximal regularity
zbMATH Keywords: backward Euler method
author: Eduardo Cuesta
author: Charalambos Makridakis
MaRDI profile type: Publication
full work available at URL: s00211-008-0165-7
OpenAlex ID: W2099307259
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DOI: 10.1007/S00211-008-0165-7
description: scientific article; zbMATH DE number 5377095