Asymptotic Error Expansion and Defect Correction for Sobolev and Viscoelasticity Type Equations

Asymptotic Error Expansion and Defect Correction for Sobolev and Viscoelasticity Type Equations

Year:    1998

Author:    Qun Lin, Shuhua Zhang, Ningning Yan

Journal of Computational Mathematics, Vol. 16 (1998), Iss. 1 : pp. 51–62

Abstract

In this paper we study the higher accuracy methods $-$ the extrapolation and defect correction for the semidiscrete Galerkin approximations to the solutions of Sobolev and viscoelasticity type equations. The global extrapolation and the correction approximations of third order, rather than the pointwise extrapolation results are presented.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1998-JCM-9141

Journal of Computational Mathematics, Vol. 16 (1998), Iss. 1 : pp. 51–62

Published online:    1998-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Asymptotic error semidiscrete Galerkin approximation global extrapolation higher accuracy.

Author Details

Qun Lin

Shuhua Zhang

Ningning Yan