scholarly journals A priorierror analysis of a fully-mixed finite element method for a two-dimensional fluid-solid interaction problem

2013 ◽  
Vol 47 (2) ◽  
pp. 471-506 ◽  
Author(s):  
Carolina Domínguez ◽  
Gabriel N. Gatica ◽  
Salim Meddahi ◽  
Ricardo Oyarzúa
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Two Dimensional ◽  
Fluid Solid Interaction ◽  
Interaction Problem ◽  
Element Method

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

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Qing-li Zhao ◽  
Zong-cheng Li ◽  
You-zheng Ding
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Optimal Order ◽  
Two Dimensional ◽  
Sobolev Equation ◽  
Order Error ◽  
Expanded Mixed Finite Element ◽  
Element Method

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.

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