5 papers
Nitsche methods for constrained problems in mechanics
Tom Gustafsson, Antti Hannukainen, Vili Kohonen +1
We present guidelines for deriving new Nitsche Finite Element Methods to enforce equality and inequality constraints that act on the value of the unknown mechanical quantity. We fi…
Adaptive finite elements for obstacle problems
Tom Gustafsson
We summarise three applications of the obstacle problem to membrane contact, elastoplastic torsion and cavitation modelling, and show how the resulting models can be solved using m…
Hybrid Nitsche method for distributed computing
Tom Gustafsson, Antti Hannukainen, Vili Kohonen +1
We extend a distributed finite element method built upon model order reduction to arbitrary polynomial degree using a hybrid Nitsche scheme. The new method considerably simplifies…
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…
Distributed finite element solution using model order reduction
Tom Gustafsson, Antti Hannukainen, Vili Kohonen
We extend a localized model order reduction method for the distributed finite element solution of elliptic boundary value problems in the cloud. We give a computationally efficient…