Date of Award
Master of Arts (MA)
Mathematics and Statistics
Academic Program Adviser
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.
Brown, Kenneth R., "Smooth Global Approximation for Continuous Data Assimilation" (2021). CUNY Academic Works.