A Comparative Study of Several Classical, Discrete Differential and Isogeometric Methods for Solving Poisson’s Equation on the Disk

A Comparative Study of Several Classical, Discrete Differential and Isogeometric Methods for Solving Poisson’s Equation on the Disk

This paper outlines and qualitatively compares the implementations of seven different methods for solving Poisson’s equation on the disk. The methods include two classical finite elements, a cotan formula-based discrete differential geometry approach and four isogeometric constructions. The comparis...

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Bibliographic Details
Main Authors: Thien Nguyen, Keçstutis Karčiauskas, Jörg Peters
Format: Article
Language:English
Published: MDPI AG 2014-06-01
Series:Axioms
Subjects:
Poisson’s equation
digital geometry
isogeometric analysis
extraordinary points
singular parameterization
G1 parameterization
Online Access:http://www.mdpi.com/2075-1680/3/2/280

Internet

http://www.mdpi.com/2075-1680/3/2/280

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