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In this paper, we develop the function, derivative and high-order derivatives recovery methods for the piecewise $$L^2$$L2 projection and piecewise Lagrange interpolation. The presented recovery methods fully exploit the symmetry… Click to show full abstract
In this paper, we develop the function, derivative and high-order derivatives recovery methods for the piecewise $$L^2$$L2 projection and piecewise Lagrange interpolation. The presented recovery methods fully exploit the symmetry property to obtain the superconvergent recovered quantities. The analysis given here is based on Taylor expansion and to identify a symmetry sub-domain for superconvergence. Numerical examples are provided which demonstrate the superconvergence properties of the proposed recovery methods and its performance when applying to finite element method.
Journal Title: Journal of Scientific Computing
Year Published: 2018
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