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Some New Results Using Quadratic Finite Elements for Pure Advection

机译：利用二次有限元进行纯平流的一些新结果

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Presented is a study of the one-dimensional (1D) advection equation. The authors present results in three areas. First, analytic solutions are given to the difference equations generated by the application of the Galerkin finite element method (GFEM) with piecewise linear basis functions (LFEM) (which solution has the same form as that for a space-centered second-order finite difference method), and piecewise quadratic (QFEM) basis functions for periodic boundary conditions and a uniform mesh. Second, based on these first results, a resolution is given to the question of the existence of the so-called ''backward traveling spurious mode'' in the case of QFEM. Third, the numerical behavior is examined for various solution methods on a randomly non-uniform mesh. (ERA citation 12:036216)

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