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Finite element methods are not always optimal

โœ Scribed by Arthur G. Werschulz


Book ID
103628470
Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
1009 KB
Volume
8
Category
Article
ISSN
0196-8858

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Nearly H1-optimal finite element methods
โœ Paul E. Barbone; Isaac Harari ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 144 KB

We examine the problem of ยฎnding the H 1 projection onto a ยฎnite element space of an unknown ยฎeld satisfying a speciยฎed boundary value problem. Solving the projection problem typically requires knowing the exact solution. We circumvent this issue and obtain a PetrovยฑGalerkin formulation which achiev