49 citations · 186 across the 15 of their papers we have counts for
19 papers
Finite Element Methods for Elastic Contact: Penalty and Nitsche
Tom Gustafsson, Rolf Stenberg
We consider two methods for treating elastic contact problems with the finite element method; the penalty method and Nitsche's method. For the penalty method we discuss how the pen…
Analysis of Weakly Symmetric Mixed Finite Elements for Elasticity
Philip L. Lederer, Rolf Stenberg
We consider mixed finite element methods for linear elasticity where the symmetry of the stress tensor is weakly enforced. Both an a priori and a posteriori error analysis are give…
Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity
Philip L. Lederer, Rolf Stenberg
We consider mixed finite element methods with exact symmetric stress tensors. We derive a new quasi-optimal a priori error estimate uniformly valid with respect to the compressibil…
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…