A family of C^0 finite elements for Kirchhoff plates I: Error analysis

Details A family of C^0 finite elements for Kirchhoff plates I: Error analysis A family of C^0 finite elements for Kirchhoff plates I: Error analysis

2006-11-22

arxiv.org/abs/math/0611690v1

Mathematics

Numerical Analysis

23 pages

Scientific paper

A new finite element formulation for the Kirchhoff plate model is presented.
The method is a displacement formulation with the deflection and the rotation
vector as unknowns and it is based on ideas stemming from a stabilized method
for the Reissner--Mindlin model and a method to treat a free boundary. Optimal
a-priori and a-posteriori error estimates are derived.

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