3 papers
math.NA2006
On the simulation of multibody systems with holonomic constraints
Jukka Tuomela, Teijo Arponen, Villesamuli Normi
We use Lagrangian formalism and jet spaces to derive a computational model to simulate multibody dynamics with holonomic constraints. Our approach avoids the traditional problems o…
math.NA2006
Analysing singularities of a benchmark problem
Teijo Arponen, Samuli Piipponen, Jukka Tuomela
The purpose of this paper is to analyze the singularities of a well known benchmark problem ``Andrews' squeezing mechanism''. We show that for physically relevant parameter values…
math.NA2004
An efficient geometric integrator for thermostatted anti-/ferromagnetic models
Teijo Arponen, Ben Leimkuhler
(Anti)-/ferromagnetic Heisenberg spin models arise from discretization of Landau-Lifshitz models in micromagnetic modelling. In many applications it is essential to study the behav…