153 citations · 547 across the 29 of their papers we have counts for
6 papers · 2 filters
Fast integration of DPG matrices based on tensorization
Jaime Mora, Leszek Demkowicz
Numerical integration of the stiffness matrix in higher order finite element (FE) methods is recognized as one of the heaviest computational tasks in a FE solver. The problem becom…
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…
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.
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…
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…
Using a DPG method to validate DMA experimental calibration of viscoelastic materials
Federico Fuentes, Leszek Demkowicz, Aleta Wilder
A discontinuous Petrov-Galerkin (DPG) method is used to solve the time-harmonic equations of linear viscoelasticity. It is based on a "broken" primal variational formulation, which…