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

Yanping Lin; Vidar Thomee; Lars B. Wahlbin

doi:10.1137/0728056

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 publication › Journal article › Academic research › peer-review

143 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 language	English
Pages (from-to)	1047-1070
Number of pages	24
Journal	SIAM Journal on Numerical Analysis
Volume	28
Issue number	4
DOIs	https://doi.org/10.1137/0728056
Publication status	Published - 1 Jan 1991
Externally published	Yes

ASJC Scopus subject areas

Numerical Analysis

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10.1137/0728056

Cite this

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

Abstract

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