On maximum norm estimates for Ritz-Volterra projection with applications to some time dependent problems

Yanping Lin

On maximum norm estimates for Ritz-Volterra projection with applications to some time dependent problems

Yanping Lin

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

The stability in L∞-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.

Original language	English
Pages (from-to)	159-178
Number of pages	20
Journal	Journal of Computational Mathematics
Volume	15
Issue number	2
Publication status	Published - 1 Dec 1997
Externally published	Yes

ASJC Scopus subject areas

Computational Mathematics

Cite this

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title = "On maximum norm estimates for Ritz-Volterra projection with applications to some time dependent problems",

abstract = "The stability in L∞-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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year = "1997",

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language = "English",

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journal = "Journal of Computational Mathematics",

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T1 - On maximum norm estimates for Ritz-Volterra projection with applications to some time dependent problems

AU - Lin, Yanping

PY - 1997/12/1

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N2 - The stability in L∞-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.

AB - The stability in L∞-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.

UR - https://www.scopus.com/pages/publications/0042742929

M3 - Journal article

SN - 0254-9409

VL - 15

SP - 159

EP - 178

JO - Journal of Computational Mathematics

JF - Journal of Computational Mathematics

IS - 2

ER -

On maximum norm estimates for Ritz-Volterra projection with applications to some time dependent problems

Abstract

ASJC Scopus subject areas

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