A mimetic discretization method for linear elasticity

Lourenco Beirão Da Veiga

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 44, Issue: 2, page 231-250
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Beirão Da Veiga, Lourenco. "A mimetic discretization method for linear elasticity." ESAIM: Mathematical Modelling and Numerical Analysis 44.2 (2010): 231-250. <http://eudml.org/doc/250765>.

@article{BeirãoDaVeiga2010,
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. },
author = {Beirão Da Veiga, Lourenco},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Mimetic finite difference methods; linear elasticity; finite element methods; mixed formulation; mimetic finite difference methods; linear elasticity},
language = {eng},
month = {3},
number = {2},
pages = {231-250},
publisher = {EDP Sciences},
title = {A mimetic discretization method for linear elasticity},
url = {http://eudml.org/doc/250765},
volume = {44},
year = {2010},
}

TY - JOUR
AU - Beirão Da Veiga, Lourenco
TI - A mimetic discretization method for linear elasticity
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 44
IS - 2
SP - 231
EP - 250
AB - 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.
LA - eng
KW - Mimetic finite difference methods; linear elasticity; finite element methods; mixed formulation; mimetic finite difference methods; linear elasticity
UR - http://eudml.org/doc/250765
ER -

References

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