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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.NA2024
Stabilised finite element method for Stokes problem with nonlinear slip condition
Tom Gustafsson, Juha Videman
This work introduces a stabilised finite element formulation for the Stokes flow problem with a nonlinear slip boundary condition of friction type. The boundary condition is enforc…