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...

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Bibliographic Details
Main Author: Lohi, Jonni
Other Authors: Informaatioteknologian tiedekunta, Faculty of Information Technology, Informaatioteknologia, Information Technology, Jyväskylän yliopisto, University of Jyväskylä
Format: Master's thesis
Language:eng
Published: 2019
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/63525
Description
Summary: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.