49 citations · 112 across the 8 of their papers we have counts for
12 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…
Nitsche's method for unilateral contact problems
Tom Gustafsson, Rolf Stenberg, Juha Videman
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 me…
Error analysis of Nitsche's mortar method
Tom Gustafsson, Rolf Stenberg, Juha Videman
Optimal a priori and a posteriori error estimates are derived for Nitsche's mortar finite elements. The analysis is based on the equivalence of the Nitsche's method and the stabili…
An adaptive finite element method for the inequality-constrained Reynolds equation
Tom Gustafsson, K. R. Rajagopal, Rolf Stenberg +1
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…
A stabilised finite element method for the plate obstacle problem
Tom Gustafsson, Rolf Stenberg, Juha Videman
We introduce a stabilised finite element formulation for the Kirchhoff plate obstacle problem and derive both a priori and residual-based a posteriori error estimates using conform…
A posteriori estimates for conforming Kirchhoff plate elements
Tom Gustafsson, Rolf Stenberg, Juha Videman
We derive a residual a posteriori estimator for the Kirchhoff plate bending problem. We consider the problem with a combination of clamped, simply supported and free boundary condi…
Mixed and stabilized finite element methods for the obstacle problem
Tom Gustafsson, Rolf Stenberg, Juha Videman
We discretize the Lagrange multiplier formulation of the obstacle problem by mixed and stabilized finite element methods. A priori and a posteriori error estimates are derived and…
Nonlinear Reynolds equation for hydrodynamic lubrication
Tom Gustafsson, K. R. Rajagopal, R. Stenberg +1
We derive a novel and rigorous correction to the classical Reynolds lubrication approximation for fluids with viscosity depending upon the pressure. Our analysis shows that the pre…