On Maximum Norm Estimates for Ritz-Volterra Projection with Applications to Some Time Dependent Problems

On Maximum Norm Estimates for Ritz-Volterra Projection with Applications to Some Time Dependent Problems

Year:    1997

Journal of Computational Mathematics, Vol. 15 (1997), Iss. 2 : pp. 159–178

Abstract

The stability in $L^\infty$-norm is considered for the Ritz-Volterra projection and some applications are presented in this paper. As a result, point-wise error estimates are established for the finite element approximation for the parabolic integro-differential equation, Sobolev equations, and a diffusion equation with non-local boundary value problem.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1997-JCM-9197

Journal of Computational Mathematics, Vol. 15 (1997), Iss. 2 : pp. 159–178

Published online:    1997-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

Keywords: