Nitsche's method for unilateral contact problems

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Tutkijat

Organisaatiot

  • VTT Technical Research Centre of Finland
  • University of Lisbon

Kuvaus

We derive optimal a priori and a posteriori error estimates for Nitsche's method applied to unilateral contact problems. Our analysis is based on the interpretation of Nitsche's method as a stabilised finite element method for the mixed Lagrange multiplier formulation of the contact problem wherein the Lagrange multiplier has been eliminated elementwise. To simplify the presentation, we focus on the scalar Signorini problem and outline only the proofs of the main results since most of the auxiliary results can be traced to our previous works on the numerical approximation of variational inequalities. We end the paper by presenting results of our numerical computations which corroborate the efficiency and reliability of the a posteriori estimators.

Yksityiskohdat

AlkuperäiskieliEnglanti
Sivut189-204
Sivumäärä16
JulkaisuPORTUGALIAE MATHEMATICA
Vuosikerta75
Numero3-4
TilaJulkaistu - 1 tammikuuta 2018
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

ID: 35319689