Semi-discrete finite element approximations for linear parabolic integro-differential equations with integrable kernels
type: Item
instance of: scholarly article
title: Semi-discrete finite element approximations for linear parabolic integro-differential equations with integrable kernels
zbMATH Open document ID: 0921.65095
published in: Journal of Integral Equations and Applications
publication date: 1999-04-11T00:00:00Z
full work available at URL: Cont10-1.html
review text: The author applies semi-discrete finite element methods to a parabolic integro-differential equation with a bounded domain and smooth boundary. The kernel is assumed to be integrable. Optimal \(L^p\) error estimates and superconvergence are derived. The main advantage of the studied method is that it can be treated in the same way without the introduction of the Ritz-Volterra projection. The presented method uses the results of finite element approximations for elliptic problems.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 1236210
zbMATH Keywords: integrable kernel
zbMATH Keywords: semi-discrete finite element methods
zbMATH Keywords: parabolic integro-differential equation
zbMATH Keywords: error estimates
zbMATH Keywords: superconvergence
author: Yanping Lin
reviewed by: Lechoslaw Hącia
MaRDI profile type: Publication
OpenAlex ID: W2064033219
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DOI: 10.1216/JIEA/1181074208
description: scientific article; zbMATH DE number 1236210