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• W2901597918 abstract "We present a finite volume method for Stokes problems using the isoparametric Q 1 – Q 0 element pair on quadrilateral meshes. To offset the lack of the i n f – s u p condition, a jump term of discrete pressure (stabilizing term) is added to the continuity approximation equation. Thus, we establish a stabilized finite volume scheme on quadrilateral meshes. Then, based on some superclose estimates, we derive the optimal error estimates in the H 1 - and L 2 -norms for velocity and in the L 2 -norm for pressure, respectively. Numerical examples are provided to illustrate our theoretical analysis. We emphasize that our work is the first time to propose and analyze a finite volume method for Stoke problems using isoparametric elements on quadrilateral meshes." @default.
• W2901597918 created "2018-11-29" @default.
• W2901597918 creator A5033320826 @default.
• W2901597918 creator A5041665913 @default.
• W2901597918 date "2019-02-01" @default.
• W2901597918 modified "2023-10-13" @default.
• W2901597918 title "A finite volume method for Stokes problems on quadrilateral meshes" @default.
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• W2901597918 doi "https://doi.org/10.1016/j.camwa.2018.10.044" @default.
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