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

Qing-li Zhao, Zong-cheng Li and You-zheng Ding

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
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https://doi.org/10.1155/2013/934973

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:934973

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