The stability and approximation properties of Ritz-Volterra projection and applications. II
type: Item
instance of: scholarly article
zbMATH Open document ID: 0982.65144
author: Tie Zhang
publication date: 2002-04-11T00:00:00Z
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 1616507
zbMATH Keywords: Ritz-Volterra projections
zbMATH Keywords: convergence
zbMATH Keywords: semidiscrete finite element approximations
zbMATH Keywords: evolution equations
zbMATH Keywords: integrodifferential equations
zbMATH Keywords: Sobolev equation
zbMATH Keywords: equations of viscoelasticity
zbMATH Keywords: optimal order error estimates
MaRDI profile type: Publication
title: The stability and approximation properties of Ritz-Volterra projection and applications. II
published in: Numerical Mathematics
review text: For part I see ibid. 6, No. 1, 57-76 (1997; Zbl 0888.65117)]. The author investigates in a unified way the convergence of semidiscrete finite element approximations (Ritz-Volterra projections) to various type of evolution equations: parabolic and hyperbolic integrodifferential equations, Sobolev equation, and equations of viscoelasticity. Assuming the existence and uniqueness of sufficiently smooth solutions, the author obtains optimal order error estimates in \(L_p\) and \(W^1_p\) for \(2\leq p\leq\infty\).
reviewed by: Oleg Titow
description: scientific article; zbMATH DE number 1616507