3 papers
math.NA2020
Nitsche's method for Kirchhoff plates
Tom Gustafsson, Rolf Stenberg, Juha Videman
We introduce a Nitsche's method for the numerical approximation of the Kirchhoff-Love plate equation under general Robin-type boundary conditions. We analyze the method by presenti…
math.NA2019
Nitsche's Master-Slave Method for Elastic Contact Problems
Tom Gustafsson, Rolf Stenberg, Juha Videman
We survey the Nitsche's master-slave finite element method for elastic contact problems analysed in [2]. The main steps of the error analysis are recalled and numerical benchmark c…
math.NA2019
On Nitsche's method for elastic contact problems
Tom Gustafsson, Rolf Stenberg, Juha Videman
We show quasi-optimality and a posteriori error estimates for the frictionless contact problem between two elastic bodies with a zero-gap function. The analysis is based on interpr…