A POSTERIORI ERROR ESTIMATION FOR THE FINITE ELEMENT METHOD-OF-LINES SOLUTION OF PARABOLIC PROBLEMS
1999 ◽
Vol 09
(02)
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pp. 261-286
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Keyword(s):
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.
1999 ◽
Vol 19
(4)
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pp. 449-456
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2015 ◽
Vol 95
(5)
◽
pp. 1144-1163
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2000 ◽
Vol 10
(05)
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pp. 737-769
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2004 ◽
Vol 24
(3)
◽
pp. 521-547
◽
2016 ◽
pp. 449-453
2003 ◽
Vol 46
(1)
◽
pp. 75-94
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