Discrete exterior calculus and higher order Whitney forms

Partial differential equations describing various phenomena have a natural expression in terms of differential forms. This thesis discusses higher order Whitney forms as approximations for differential forms. We present how they can be used with discrete exterior calculus to discretise and solve par...

Täydet tiedot

Bibliografiset tiedot
Päätekijä: Lohi, Jonni
Muut tekijät: Informaatioteknologian tiedekunta, Faculty of Information Technology, Informaatioteknologia, Information Technology, Jyväskylän yliopisto, University of Jyväskylä
Aineistotyyppi: Pro gradu
Kieli:eng
Julkaistu: 2019
Aiheet:
Linkit: https://jyx.jyu.fi/handle/123456789/63525
Kuvaus
Yhteenveto:Partial differential equations describing various phenomena have a natural expression in terms of differential forms. This thesis discusses higher order Whitney forms as approximations for differential forms. We present how they can be used with discrete exterior calculus to discretise and solve partial differential equations formulated with differential forms.