A-priori and a-posteriori error analysis for a family of Reissner–Mindlin plate elements

2008 ◽  
Vol 48 (2) ◽  
pp. 189-213 ◽  
Author(s):  
L. Beirão da Veiga ◽  
C. Chinosi ◽  
C. Lovadina ◽  
R. Stenberg
Keyword(s):  
Error Analysis ◽  
A Priori ◽  
Posteriori Error ◽  
Mindlin Plate ◽  
A Posteriori ◽  
A Posteriori Error Analysis ◽  
A Posteriori Error ◽  
Plate Elements ◽  
Posteriori Error Analysis

A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem

2015 ◽  
Vol 133 (4) ◽  
pp. 781-817 ◽  
Author(s):  
Verónica Anaya ◽  
David Mora ◽  
Ricardo Oyarzúa ◽  
Ricardo Ruiz-Baier
Keyword(s):  
Error Analysis ◽  
A Priori ◽  
Posteriori Error ◽  
A Posteriori ◽  
A Posteriori Error Analysis ◽  
A Posteriori Error ◽  
Mixed Scheme ◽  
Posteriori Error Analysis

Unified a Priori Error Estimate and a Posteriori Error Estimate of CIP-FEM for Elliptic Equations

2016 ◽  
Vol 8 (4) ◽  
pp. 517-535
Author(s):  
Jianye Wang ◽  
Rui Ma
Keyword(s):  
Finite Element ◽  
Error Analysis ◽  
Error Estimate ◽  
A Priori ◽  
Posteriori Error ◽  
A Posteriori ◽  
A Posteriori Error Analysis ◽  
A Posteriori Error ◽  
Penalty Term ◽  
Posteriori Error Analysis

AbstractThis paper is devoted to a unified a priori and a posteriori error analysis of CIP-FEM (continuous interior penalty finite element method) for second-order elliptic problems. Compared with the classic a priori error analysis in literature, our technique can easily apply for any type regularity assumption on the exact solution, especially for the case of lowerH1+sweak regularity under consideration, where 0 ≤s≤ 1/2. Because of the penalty term used in the CIP-FEM, Galerkin orthogonality is lost and Céa Lemma for conforming finite element methods can not be applied immediately when 0≤s≤1/2. To overcome this difficulty, our main idea is introducing an auxiliaryC1finite element space in the analysis of the penalty term. The same tool is also utilized in the explicit a posteriori error analysis of CIP-FEM.

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