| Issue |
ESAIM: M2AN
Volume 44, Number 2, March-April 2010
|
|
|---|---|---|
| Page(s) | 231 - 250 | |
| DOI | https://doi.org/10.1051/m2an/2010001 | |
| Published online | 27 January 2010 | |
A mimetic discretization method for linear elasticity
Dipartimento di Matematica, Università di Milano,
Via Saldini 50, 20133 Milano, Italy. lourenco.beirao@unimi.it
Received:
31
October
2008
Revised:
3
July
2009
A Mimetic Discretization method for the linear elasticity problem in mixed weakly symmetric form is developed. The scheme is shown to converge linearly in the mesh size, independently of the incompressibility parameter λ, provided the discrete scalar product satisfies two given conditions. Finally, a family of algebraic scalar products which respect the above conditions is detailed.
Mathematics Subject Classification: 65N30 / 65N12 / 74B05
Key words: Mimetic finite difference methods / linear elasticity / finite element methods / mixed formulation
© EDP Sciences, SMAI, 2010
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