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» The Serendipity Family of Finite Elements
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MOC
2002
90views more  MOC 2002»
13 years 4 months ago
Derivative superconvergent points in finite element solutions of harmonic functions--- A theoretical justification
Finite element derivative superconvergent points for harmonic functions under local rectangular mesh are investigated. All superconvergent points for the finite element space of an...
Zhimin Zhang
FOCM
2011
80views more  FOCM 2011»
12 years 8 months ago
The Serendipity Family of Finite Elements
Douglas N. Arnold, Gerard Awanou
MOC
2002
115views more  MOC 2002»
13 years 4 months ago
Approximation by quadrilateral finite elements
We consider the approximation properties of finite element spaces on quadrilateral meshes. The finite element spaces are constructed starting with a given finite dimensional space ...
Douglas N. Arnold, Daniele Boffi, Richard S. Falk
JSCIC
2010
97views more  JSCIC 2010»
12 years 11 months ago
Finite Element Characteristic Methods Requiring no Quadrature
The characteristic methods are known to be very efficient for convection-diffusion problems including the Navier-Stokes equations. Convergence is established when the integrals ar...
Olivier Pironneau
MOC
2002
101views more  MOC 2002»
13 years 4 months ago
On the stability of a family of finite element methods for hyperbolic problems
We consider a family of tensor product finite element methods for hyperbolic equations in RN , N 2, which are explicit and generate a continuous approximate solution. The base cas...
Gerard R. Richter