Finite element and DG analysis for neutral-type Volterra integro-differential equations with weakly singular kernels
type: Item
instance of: scholarly article
title: Finite element and DG analysis for neutral-type Volterra integro-differential equations with weakly singular kernels
zbMATH Open document ID: 1169.65122
author: Jingtang Ma
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-06-18T00:00:00Z
review text: The authors use finite element and discontinuous Galerkin (DG) methods to investigate the numerical solution of neutral-type Volterra integro differential equations with weakly singular kernels. A DG time stepping method for the semi discretized equation with fully discretized form is discussed. By defining a suitable Ritz Volterra projection operator a priori error estimates for the finite element method semi-discretization of the discussed problem is given.
reviewed by: Seenith Sivasundaram
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 5566266
zbMATH Keywords: Volterra integro differential equations of neutral type with weakly singular kernels
zbMATH Keywords: discontinuous Galerkin time-stepping methods
zbMATH Keywords: finite element methods
zbMATH Keywords: time stepping method
zbMATH Keywords: Ritz Volterra projection operator
zbMATH Keywords: a priori error estimates
zbMATH Keywords: semi-discretization
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.03.061
OpenAlex ID: W2029697110
cites work: Q4531674
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cites work: Non-classical \(H^ 1\) projection and Galerkin methods for non-linear parabolic integro-differential equations
cites work: Finite Element Methods for Integrodifferential Equations
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cites work: Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method
DOI: 10.1016/J.JMAA.2009.03.061
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description: scientific article; zbMATH DE number 5566266