5 papers
Stabilized finite elements for Tresca friction problem
Tom Gustafsson, Juha Videman
We formulate and analyze a Nitsche-type algorithm for frictional contact problems. The method is derived from, and analyzed as, a stabilized finite element method and shown to be q…
A simple technique for unstructured mesh generation via adaptive finite elements
Tom Gustafsson
This work describes a concise algorithm for the generation of triangular meshes with the help of standard adaptive finite element methods. We demonstrate that a generic adaptive fi…
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…
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…
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…