40 citations · 56 across the 2 of their papers we have counts for
3 papers
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…
High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations
Ali Vaziri Astaneh, Federico Fuentes, Jaime Mora +1
This work represents the first endeavor in using ultraweak formulations to implement high-order polygonal finite element methods via the discontinuous Petrov-Galerkin (DPG) methodo…
Exponential Convergence through Linear Finite Element Discretization of Stratified Subdomains
Murthy N. Guddati, Vladimir Druskin, Ali Vaziri Astaneh
Motivated by problems where the response is needed at select localized regions in a large computational domain, we devise a novel finite element discretization that results in expo…