Quasi-Wilson Nonconforming Finite Element Analysis to a Class of Nonlinear and Nonlocal Parabolic Problems
A Quasi-Wilson nonconforming finite element approximation is discussed for a class of nonlinear and nonlocal parabolic problems under semi-discrete schemes.The element has a special character that the con-sistency error can reach to order O(h2)in energy norm(one order higher than its interpolation error)when exact solution belongs to u∈H3(Ω).Using the special property,the derivative transfering technique with respect to the time t,and combined with the high precision analysis of bilinear element and interpolation post-processing technique,the superclose property and global superconvergence result are obtained.
nonlinear and nonlocal parabolic problemsQuasi-Wilsonhigh accuracy analysissuperclose and superconvergence
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