Local A Posteriori Estimates on a Nonconvex Polygonal Domain

2012 ◽  
Vol 50 (2) ◽  
pp. 906-924 ◽  
Author(s):  
JaEun Ku ◽  
Alfred H. Schatz
Keyword(s):  
Polygonal Domain ◽  
A Posteriori ◽  
A Posteriori Estimates

scholarly journals On a posteriori estimates for a linearized Oldroyd's problem

2004 ◽  
Vol 167 (2) ◽  
pp. 345-361 ◽  
Author(s):  
K. Najib ◽  
D. Sandri ◽  
A.-M. Zine
Keyword(s):  
A Posteriori ◽  
A Posteriori Estimates

scholarly journals A Posteriori Estimates for Conforming Kirchhoff Plate Elements

2018 ◽  
Vol 40 (3) ◽  
pp. A1386-A1407 ◽  
Author(s):  
Tom Gustafsson ◽  
Rolf Stenberg ◽  
Juha Videman
Keyword(s):  
Kirchhoff Plate ◽  
A Posteriori ◽  
Plate Elements ◽  
A Posteriori Estimates

A POSTERIORI ERROR ESTIMATION FOR THE FINITE ELEMENT METHOD-OF-LINES SOLUTION OF PARABOLIC PROBLEMS

1999 ◽  
Vol 09 (02) ◽  
pp. 261-286 ◽  
Author(s):  
SLIMANE ADJERID ◽  
JOSEPH E. FLAHERTY ◽  
IVO BABUŠKA
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Method Of Lines ◽  
Posteriori Error ◽  
Parabolic Problems ◽  
A Posteriori ◽  
Element Discretization ◽  
Mesh Spacing ◽  
A Posteriori Estimates ◽  
Element Method

Babuška and Yu constructed a posteriori estimates for finite element discretization errors of linear elliptic problems utilizing a dichotomy principal stating that the errors of odd-order approximations arise near element edges as mesh spacing decreases while those of even-order approximations arise in element interiors. We construct similar a posteriori estimates for the spatial errors of finite element method-of-lines solutions of linear parabolic partial differential equations on square-element meshes. Error estimates computed in this manner are proven to be asymptotically correct; thus, they converge in strain energy under mesh refinement at the same rate as the actual errors.

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