Asymptotic Error Expansion And Defect Correction For Sobolev And Viscoelasticity Type Equations
Qun Lin 1, Shu-hua Zhang 1, Ning-ning Yan 11 Institute of Systems Science, Chinese Academy of Sciences, Beijing, China
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.
Key words: Asymptotic error; semidiscrete Galerkin approximation; global extrapolation; higher accuracy.