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linearelasticity

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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1 results

A mimetic discretization method for linear elasticity
Lourenco Beirão Da Veiga
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 44 / Issue 2 / March 2010

Published online by Cambridge University Press:

27 January 2010, pp. 231-250

Print publication:

March 2010
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A Mimetic Discretization method for the linear elasticity problemin mixed weakly symmetric form is developed. The scheme is shown toconverge linearly in the mesh size, independently of theincompressibility parameter λ, provided the discrete scalarproduct satisfies two given conditions. Finally, a family ofalgebraic scalar products which respect the above conditions isdetailed.