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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.