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Volume 16, Issue 1
Asymptotic Error Expansion and Defect Correction for Sobolev and Viscoelasticity Type Equations

Qun Lin, Shuhua Zhang & Ningning Yan

J. Comp. Math., 16 (1998), pp. 51-62.

Published online: 1998-02

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  • 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.

  • Keywords

Asymptotic error, semidiscrete Galerkin approximation, global extrapolation, higher accuracy.

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COPYRIGHT: © Global Science Press

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@Article{JCM-16-51, author = {Lin , QunZhang , Shuhua and Yan , Ningning}, title = {Asymptotic Error Expansion and Defect Correction for Sobolev and Viscoelasticity Type Equations}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {1}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9141.html} }
TY - JOUR T1 - Asymptotic Error Expansion and Defect Correction for Sobolev and Viscoelasticity Type Equations AU - Lin , Qun AU - Zhang , Shuhua AU - Yan , Ningning JO - Journal of Computational Mathematics VL - 1 SP - 51 EP - 62 PY - 1998 DA - 1998/02 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9141.html KW - Asymptotic error, semidiscrete Galerkin approximation, global extrapolation, higher accuracy. AB -

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.

Qun Lin, Shuhua Zhang & Ningning Yan. (1970). Asymptotic Error Expansion and Defect Correction for Sobolev and Viscoelasticity Type Equations. Journal of Computational Mathematics. 16 (1). 51-62. doi:
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