2 code implementations • 16 Nov 2020 • Tom Gustafsson
This work describes a concise algorithm for the generation of triangular meshes with the help of standard adaptive finite element methods.
Numerical Analysis Mathematical Software Numerical Analysis
3 code implementations • 1 Jul 2020 • 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.
Numerical Analysis Numerical Analysis
no code implementations • 17 Dec 2019 • Tom Gustafsson, Rolf Stenberg, Juha Videman
We survey the Nitsche's master-slave finite element method for elastic contact problems analysed in [2].
Numerical Analysis Numerical Analysis
no code implementations • 25 Feb 2019 • Tom Gustafsson, Rolf Stenberg, Juha Videman
We derive a priori and a posteriori error estimates for the frictionless contact problem between two elastic bodies.
Numerical Analysis 65N30
no code implementations • 11 May 2018 • 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.
Numerical Analysis 65N30
no code implementations • 28 Feb 2018 • Tom Gustafsson, Rolf Stenberg, Juha Videman
Optimal a priori and a posteriori error estimates are derived for Nitsche's mortar finite elements.
Numerical Analysis 65N30
no code implementations • 12 Nov 2017 • Tom Gustafsson, K. R. Rajagopal, Rolf Stenberg, Juha Videman
We present a stabilized finite element method for the numerical solution of cavitation in lubrication, modeled as an inequality-constrained Reynolds equation.
Numerical Analysis
no code implementations • 11 Nov 2017 • 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 conforming $C^1$-continuous finite elements.
Numerical Analysis
no code implementations • 26 Jul 2017 • Tom Gustafsson, Rolf Stenberg, Juha Videman
We derive a residual a posteriori estimator for the Kirchhoff plate bending problem.
Numerical Analysis 65N30
