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.
BEIRAO DA VEIGA, L. (2010). A Mimetic discretization method for linear elasticity. MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE, 44(2), 231-250 [10.1051/m2an/2010001].
A Mimetic discretization method for linear elasticity
BEIRAO DA VEIGA, LOURENCOPrimo
2010
Abstract
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.File in questo prodotto:
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