Space-Time Least-Squares Spectral Elements for Convection Dominated Unsteady Flows

2003 ◽  
Author(s):  
Bart De Maerschalck ◽  
Marc Gerritsma ◽  
Michael Proot
Keyword(s):  
Least Squares ◽  
Unsteady Flows ◽  
Space Time ◽  
Spectral Elements ◽  
Convection Dominated

Space-Time Least-Squares Spectral Elements for Convection Dominated Unsteady Flows

AIAA Journal ◽  
2006 ◽  
Vol 44 (3) ◽  
pp. 558-565 ◽  
Author(s):  
B. De Maerschalck ◽  
M. I. Gerritsma ◽  
M. M. J. Proot
Keyword(s):  
Least Squares ◽  
Unsteady Flows ◽  
Space Time ◽  
Spectral Elements ◽  
Convection Dominated

scholarly journals Further results on a space-time FOSLS formulation of parabolic PDEs

2020 ◽  
Author(s):  
Gregor Gantner ◽  
Rob Stevenson
Keyword(s):  
Finite Element Method ◽  
Least Squares ◽  
Parabolic Equations ◽  
Space Time ◽  
Adaptive Finite Element Method ◽  
Order System ◽  
Well Posedness ◽  
Adaptive Finite Element ◽  
Parabolic Pdes ◽  
First Order

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.

scholarly journals Space–time least–squares isogeometric method and efficient solver for parabolic problems

2019 ◽  
Vol 89 (323) ◽  
pp. 1193-1227 ◽  
Author(s):  
Monica Montardini ◽  
Matteo Negri ◽  
Giancarlo Sangalli ◽  
Mattia Tani
Keyword(s):  
Least Squares ◽  
Space Time ◽  
Parabolic Problems ◽  
Efficient Solver
Sign in / Sign up

Export Citation Format

Share Document