Expanded Mixed Finite Element Method for the Two-Dimensional Sobolev Equation | Zendy

QingLi Zhao | Zendy; Zong-cheng Li | Zendy; Youzheng Ding | Zendy

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Expanded Mixed Finite Element Method for the Two-Dimensional Sobolev Equation

Author(s) -

QingLi Zhao,

Zong-cheng Li,

Youzheng Ding

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/934973

Subject(s) - sobolev space , mathematics , uniqueness , finite element method , mathematical analysis , scalar (mathematics) , mixed finite element method , geometry , physics , thermodynamics

Expanded mixed finite element method is introduced to approximate the two-dimensional Sobolev equation. This formulation expands the standard mixed formulation in the sense that three unknown variables are explicitly treated. Existence and uniqueness of the numerical solution are demonstrated. Optimal order error estimates for both the scalar and two vector functions are established. © 2013 Qing-li Zhao et al.

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