A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations

Houde Han; Xiaonan Wu

doi:10.1137/S0036142996300385

A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations

Houde Han, Xiaonan Wu

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

53 Citations (Scopus)

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Abstract

A new mixed finite element method is formulated for the Stokes equations, in which the two components of the velocity and the pressure are defined on different meshes. First-order error estimates are obtained for both the velocity and the pressure. Also, the well-known MAC method is derived from the resulting finite element method.

Original language	English
Pages (from-to)	560-571
Number of pages	12
Journal	SIAM Journal on Numerical Analysis
Volume	35
Issue number	2
DOIs	https://doi.org/10.1137/S0036142996300385
Publication status	Published - Mar 1998

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MAC scheme
Mixed finite element method
Stokes equations

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abstract = "A new mixed finite element method is formulated for the Stokes equations, in which the two components of the velocity and the pressure are defined on different meshes. First-order error estimates are obtained for both the velocity and the pressure. Also, the well-known MAC method is derived from the resulting finite element method.",

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A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations

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