Discrete computational mechanics for stiff phenomena

Dominik L. Michels, J. Paul T. Mueller

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations


Many natural phenomena which occur in the realm of visual computing and computational physics, like the dynamics of cloth, fibers, fluids, and solids as well as collision scenarios are described by stiff Hamiltonian equations of motion, i.e. differential equations whose solution spectra simultaneously contain extremely high and low frequencies. This usually impedes the development of physically accurate and at the same time efficient integration algorithms. We present a straightforward computationally oriented introduction to advanced concepts from classical mechanics. We provide an easy to understand step-by-step introduction from variational principles over the Euler-Lagrange formalism and the Legendre transformation to Hamiltonian mechanics. Based on such solid theoretical foundations, we study the underlying geometric structure of Hamiltonian systems as well as their discrete counterparts in order to develop sophisticated structure preserving integration algorithms to efficiently perform high fidelity simulations.

Original languageEnglish (US)
Title of host publicationSA 2016 - SIGGRAPH ASIA 2016 Courses
PublisherAssociation for Computing Machinery (ACM)
ISBN (Electronic)9781450345385
StatePublished - Nov 28 2016
Event2016 SIGGRAPH ASIA Courses, SA 2016 - Macau, China
Duration: Dec 5 2016Dec 8 2016

Publication series

NameSA 2016 - SIGGRAPH ASIA 2016 Courses


Other2016 SIGGRAPH ASIA Courses, SA 2016


  • Differential equations
  • Discrete computational mechanics
  • Efficient time integration
  • Exponential integrators
  • Fast simulation
  • Hamiltonian mechanics
  • High-fidelity simulation
  • Lagrange formalism
  • Legendre transformation
  • Real-time physics
  • Real-time simulation
  • Stiff differential equations
  • Structure preservation
  • Symmetry
  • Symplecticity
  • Variational integrators
  • Variational principles

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition
  • Computer Graphics and Computer-Aided Design


Dive into the research topics of 'Discrete computational mechanics for stiff phenomena'. Together they form a unique fingerprint.

Cite this