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• W3161610134 abstract "<p style='text-indent:20px;'>A new method for some advection equations is derived and analyzed, where the finite element method is constructed by using spline. A proper spline subspace is discussed for satisfying boundary conditions. Meanwhile, in order to get more accuracy solutions, spline method is connected with finite element method. Furthermore, the stability and convergence are discussed rigorously. Two numerical experiments are also presented to verify the theoretical analysis." @default.
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• W3161610134 date "2021-01-01" @default.
• W3161610134 modified "2023-09-26" @default.
• W3161610134 title "Finite element method for two-dimensional linear advection equations based on spline method" @default.
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• W3161610134 doi "https://doi.org/10.3934/dcdss.2021056" @default.
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