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张铁
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期刊论文
A Highly Accurate Derivative Recovery Formula For Finite Element Approximations In One Space Dimension
，-0001，（）：
A highly accurate derivative recovery formula is presented for the k-order finite element approximations to the two-point boundary value problems. This formula possesses the O (hk+1) order of superconvergence on the whole domain in L1 norm and O (h2k) order of ultraconvergence at the mesh points, and also the lowest regularity requirement for the exact solutions. Numerical experiments are given to verify the high accuracy of our formula.
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