106 citations · 360 across the 21 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.NA2017★ 16 cited
Goal-oriented adaptive mesh refinement for non-symmetric functional settings
Brendan Keith, Ali Vaziri Astaneh, Leszek Demkowicz
In this article, a new unified duality theory is developed for Petrov-Galerkin finite element methods. This novel theory is then used to motivate goal-oriented adaptive mesh refine…
math.NA2017★ 1 cited
DPG* Method
Brendan Keith, Leszek Demkowicz, Jay Gopalakrishnan
We introduce a cousin of the DPG method - the DPG* method - discuss their relationship and compare the two methods through numerical experiments.
math.NA2017★ 28 cited
Discrete least-squares finite element methods
Brendan Keith, Socratis Petrides, Federico Fuentes +1
A finite element methodology for large classes of variational boundary value problems is defined which involves discretizing two linear operators: (1) the differential operator def…