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Accuracy analysis of quasi-Wilson nonconforming element for nonlinear dual phase lagging heat conduction equations is discussed and higher order error estimates are derived under semi-discrete and fully-discrete schemes. Since the nonconforming part of quasi-Wilson element is orthogonal to biquadratic polynomials in a certain sense, it can be proved that the compatibility error of this element is...
In this paper, ACM finite element method is applied to the approximation of nonlinear viscoelasticity equation for the semi-discrete scheme. by the integral identity, averaging technique and interpolated post processing techniques, the superclose and the global superconvergence properties with order O(h3.5) are derived. Furthermore, through constructing a suitable extrapolation scheme, higher accuracy...
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