Least squares predictive transform space-time array processing for adaptive airborne MTI radar

Author(s):  
J.R. Guerci ◽  
E.H. Feria
Author(s):  
Gregor Gantner ◽  
Rob Stevenson

In [2019, Space-time least-squares finite elements for parabolic equations, arXiv:1911.01942] by Führer&Karkulik, well-posedness of a space-time First-Order System Least-Squares formulation of the heat equation was proven.  In the present work, this result is generalized to general second order parabolic PDEs with possibly inhomogenoeus boundary conditions, and plain convergence of a standard adaptive finite element method driven by the least-squares estimator is demonstrated.  The proof of the latter easily extends to a large class of least-squares formulations.


2019 ◽  
Vol 89 (323) ◽  
pp. 1193-1227 ◽  
Author(s):  
Monica Montardini ◽  
Matteo Negri ◽  
Giancarlo Sangalli ◽  
Mattia Tani

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