J4 ›› 2011, Vol. 46 ›› Issue (8): 31-37.
• Articles •
NIU Yu-qi1, WANG Fen-ling1, SHI Dong-wei2
In this paper, by use of the integral identities and the mean value technique, approximation of bilinear finite element for the nonlinear viscoelasticity type equations with superclose property of order O(h2) in H1-norm is obtained. A global superconvergence result is yielded by interpolated post-processing method. Then higher accuracy of order O(h3) for approximation solution is derived through constructing a proper extrapolation scheme.
nonliear viscoelasticity type equations; bilinear element; higher accuracy; interpolated post-processing; extrapolation
NIU Yu-qi1, WANG Fen-ling1, SHI Dong-wei2. Higher accuracy analysis for the bilinear element solution of nonlinear viscoelasticity type equations[J].J4, 2011, 46(8): 31-37.
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