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 - <p style="text-align: justify;">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.</p>