The  P ‐version of the mixed‐finite element method for nonlinear second‐order elliptic problems | Zendy

Kim MiYoung | Zendy; Park EunJae | Zendy

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The P ‐version of the mixed‐finite element method for nonlinear second‐order elliptic problems

Author(s) -

Kim MiYoung,

Park EunJae

Publication year - 1996

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.1690120103

Subject(s) - mathematics , finite element method , uniqueness , nonlinear system , order (exchange) , scalar (mathematics) , mixed finite element method , function (biology) , elliptic curve , mathematical analysis , geometry , physics , finance , quantum mechanics , evolutionary biology , biology , economics , thermodynamics

The p ‐version of the mixed finite element method is considered for nonlinear second‐order elliptic problems. Existence and uniqueness of the approximation are demonstrated and optimal order error estimates in L 2 are derived for the three relevant functions. Error estimates for the scalar function are also given in L q , 2 ⩽ q ⩽ + ∞. © 1996 John Wiley & Sons, Inc.

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