Local (Commuting) THB-spline Projector

Title

Local (Commuting) THB-spline Projector

 Author

Dijkstra, Kevin (TU Delft Electrical Engineering, Mathematics and Computer Science)

Contributor

Toshniwal, D. (mentor) ORCID 0000-0002-7142-7904
Vuik, Cornelis (graduation committee) ORCID 0000-0002-5988-9153
Visser, P.M. (graduation committee)

Degree granting institution

Delft University of Technology

 Programme

Applied Mathematics

 Date

2022-11-30

 Abstract

Existence of commuting THB-spline projectors is of importance in the field of numerical mathematics. These projectors are required to show that numerical solutions to the abstract Hodge Laplace problem are stable and consistent. We have introduced a local THB-spline projector based on Bezier projection, that commutes in the one-dimensional case. Additionally, to show that the projector is well posed in the univariate and multivariate case, we have derived so called projection elements, that are grouped mesh elements, on which the THB-splines are linearly independent.

 Subject

THB-splines
commuting projectors
local projectors
local linear indepence THB-splines

 To reference this document use:

http://resolver.tudelft.nl/uuid:45f4564b-21a5-4124-b5aa-2f2d9ac8b130

 Embargo date

2023-11-30

 Part of collection

Student theses

 Document type

master thesis

 Rights

© 2022 Kevin Dijkstra
Files
PDF Master_Kevin_Dijkstra_loc ... _Final.pdf 7.09 MB
Close viewer