Date of Award
Summer 2021
Document Type
Thesis
Degree Name
Master of Arts (MA)
Department
Mathematics and Statistics
First Advisor
Vincent Martinez
Second Advisor
Animikh Biswas
Academic Program Adviser
Vincent Martinez
Abstract
This thesis develops the finite element method, constructs local approximation operators, and bounds their error. Global approximation operators are then constructed with a partition of unity. Finally, an application of these operators to data assimilation of the two-dimensional Navier-Stokes equations is presented, showing convergence of an algorithm in all Sobolev topologies.
Recommended Citation
Brown, Kenneth R., "Smooth Global Approximation for Continuous Data Assimilation" (2021). CUNY Academic Works.
https://academicworks.cuny.edu/hc_sas_etds/771
Included in
Analysis Commons, Control Theory Commons, Dynamical Systems Commons, Dynamic Systems Commons, Partial Differential Equations Commons