In this article, expanded mixed finite element method is used to approximate the Forchheimer model. This method extends the traditional mixed element technique. Existence and uniqueness are proved. Optimal L-2-error analysis is obtained. Numerical simulations are given to validate the theoretical derivation.
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S China Normal Univ, Sch Math Sci, Dept Computat Math, Guangzhou 510631, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Dept Computat Math, Guangzhou 510631, Guangdong, Peoples R China
Chen, Yanping
Chen, Luoping
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Sun Yat Sen Univ, Sch Math & Computat Sci, Dept Computat Math, Guangzhou 510275, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Dept Computat Math, Guangzhou 510631, Guangdong, Peoples R China
Chen, Luoping
Zhang, Xiaochun
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S China Normal Univ, Sch Math Sci, Dept Computat Math, Guangzhou 510631, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Dept Computat Math, Guangzhou 510631, Guangdong, Peoples R China