3 papers
math.NA2026
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…
math.NA2026
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…
math.NA2025
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…