scholarly journals A quasi-optimal a priori error estimate for the two-dimensional Signorini problem approximated by linear finite elements

2012 ◽  
Vol 350 (5-6) ◽  
pp. 325-328 ◽  
Author(s):  
Yves Renard
Keyword(s):  
Finite Elements ◽  
Error Estimate ◽  
A Priori ◽  
Two Dimensional ◽  
Signorini Problem ◽  
A Priori Error Estimate

scholarly journals Convergence Analysis of a Discontinuous Finite Volume Method for the Signorini Problem

2020 ◽  
Vol 12 (4) ◽  
pp. 49
Author(s):  
Yuping Zeng ◽  
Fen Liang
Keyword(s):  
Exact Solution ◽  
Error Estimate ◽  
Convergence Analysis ◽  
Finite Volume Method ◽  
Finite Volume ◽  
A Priori ◽  
Energy Norm ◽  
Signorini Problem ◽  
A Priori Error Estimate ◽  
Volume Method

We introduce and analyze a discontinuous finite volume method for the Signorini problem. Under suitable regularity assumptions on the exact solution, we derive an optimal a priori error estimate in the energy norm.

A Simple Equilibrium Finite Element over Quadrilaterals

2006 ◽  
Vol 6 (4) ◽  
pp. 349-353
Author(s):  
A. Agouzal
Keyword(s):  
Finite Element ◽  
Error Estimate ◽  
A Priori ◽  
A Priori Error Estimate

AbstractIn this paper a simple equilibrium finite element on quadrilaterals is introduced and analysed. An optimal a priori error estimate has been obtained for arbitrary regular quadrilaterals.

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