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A Mixed Finite Element Method for the Biharmonic Problem Using Biorthogonal or Quasi-Biorthogonal Systems

โœ Scribed by Bishnu P. Lamichhane

Publisher
Springer US
Year
2010
Tongue
English
Weight
485 KB
Volume
46
Category
Article
ISSN
0885-7474

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A stabilized mixed finite element method
A stabilized mixed finite element method for the biharmonic equation based on biorthogonal systems
โœ Bishnu P. Lamichhane ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 266 KB

## A priori estimate a b s t r a c t We propose a stabilized finite element method for the approximation of the biharmonic equation with a clamped boundary condition. The mixed formulation of the biharmonic equation is obtained by introducing the gradient of the solution and a Lagrange multiplier