An adaptive finite element method for the inequality-constrained Reynolds equation

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Tutkijat

Organisaatiot

  • Texas A and M University
  • Instituto Superior Tecnico Lisboa

Kuvaus

We present a stabilized finite element method for the numerical solution of cavitation in lubrication, modeled as an inequality-constrained Reynolds equation. The cavitation model is written as a variable coefficient saddle-point problem and approximated by a residual-based stabilized method. Based on our recent results on the classical obstacle problem, we present optimal a priori estimates and derive novel a posteriori error estimators. The method is implemented as a Nitsche-type finite element technique and shown in numerical computations to be superior to the usually applied penalty methods.

Yksityiskohdat

AlkuperäiskieliEnglanti
Sivut156-170
Sivumäärä15
JulkaisuComputer Methods in Applied Mechanics and Engineering
Vuosikerta336
TilaJulkaistu - 1 heinäkuuta 2018
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

ID: 18844212