Unconditionally optimal \(H^1\)-norm error estimates of a fast and linearized Galerkin method for nonlinear subdiffusion equations
type: Item
instance of: scholarly article
title: Unconditionally optimal \(H^1\)-norm error estimates of a fast and linearized Galerkin method for nonlinear subdiffusion equations
zbMATH Open document ID: 1483.65157
author: Nan Liu
author: Hongyu Qin
author: Yin Yang
publication date: 2022-02-04T00:00:00Z
review text: The authors consider a semi-linear subdiffusion equation. They first consider a discretization in time given by a set of some special mesh points and derived a convenient semi-discrete scheme (discretization only in time). This semi-discrete scheme is based on a Newton linearized method. An analysis for the convergence is provided. Thanks to this semi-discrete scheme, a fully discrete scheme based on the use of the Galerkin method as discretization in space is established and a convergence analysis in \(H^1\)-norm is also given. Some numerical examples are presented to support the theoretical results.
reviewed by: Abdallah Bradji
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 7469197
zbMATH Keywords: \(H^1\)-norm error estimate
zbMATH Keywords: unconditional convergence
zbMATH Keywords: Newton linearized method
zbMATH Keywords: Galerkin method
MaRDI profile type: Publication
full work available at URL: j.camwa.2021.12.012
OpenAlex ID: W4206206986
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DOI: 10.1016/J.CAMWA.2021.12.012
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7469197