A mixed finite element method for nonlinear elasticity: Two-fold saddle point approach and a-posteriori error estimate

Mauricio A. Barrientos, Gabriel N. Gatics, Ernst P. Stephan

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

37 Citas (Scopus)

Resumen

We extend the applicability of stable mixed finite elements for linear plane elasticity, such as PEERS, to a mixed variational formulation of hyperelasticity. The present approach is based on the introduction of the strain tensor as a further unknown, which yields a two-fold saddle point nonlinear operator equation for the corresponding weak formulation. We provide the uniqueness of solution for the continuous and discrete schemes, and derive the usual Cea estimate for the associated error. Finally, a reliable a-posteriori error estimate, based on the solution of local Dirichlet problems, and well suited for adaptive computations, is also given.

Idioma originalInglés
Páginas (desde-hasta)197-222
Número de páginas26
PublicaciónNumerische Mathematik
Volumen91
N.º2
DOI
EstadoPublicada - abr 2002
Publicado de forma externa

Huella

Profundice en los temas de investigación de 'A mixed finite element method for nonlinear elasticity: Two-fold saddle point approach and a-posteriori error estimate'. En conjunto forman una huella única.

Citar esto