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Since the development of Yee scheme back in 1966, it has become one of the most popular simulation tools for modeling electromagnetic wave propagation in various situations. However, its rigorous error analysis on nonuniform rectangular type grids was carried out until 1994 by Monk and Süli. They showed that the Yee scheme is still second-order convergent on a nonuniform mesh even though the local...
Summary.By means of identity techniques, in this paper, we develop the stream function-vorticity-pressure method and obtain the full approximation convergence and global superconvergence estimates for the Stokes equations.
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