Ritz-Volterra projections to finite-element spaces and applications to integrodifferential and related equations

Yanping Lin, Vidar Thomee, Lars B. Wahlbin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

123 Citations (Scopus)

Abstract

The object of this paper is to investigate the convergence of finite-element approximations to solutions of parabolic and hyperbolic integrodifferential equations, and also of equations of Sobolev and viscoelasticity type. The concept of Ritz-Volterra projection will be seen to unify much of the analysis for the different types of problems. Optimal order error estimates are obtained in Lpfor 2 ≤ p < ∞, and almost optimal order pointwise results given.
Original languageEnglish
Pages (from-to)1047-1070
Number of pages24
JournalSIAM Journal on Numerical Analysis
Volume28
Issue number4
DOIs
Publication statusPublished - 1 Jan 1991
Externally publishedYes

ASJC Scopus subject areas

  • Numerical Analysis

Cite this