Print Email Facebook Twitter 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) Vuik, Cornelis (graduation committee) 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-splinescommuting projectorslocal projectorslocal 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 /islandora/object/uuid:45f4564b-21a5-4124-b5aa-2f2d9ac8b130/datastream/OBJ/view