153 citations · 547 across the 29 of their papers we have counts for
4 papers · 2 filters
An ultraweak DPG method for viscoelastic fluids
Brendan Keith, Philipp Knechtges, Nathan V. Roberts +3
We explore a vexing benchmark problem for viscoelastic fluid flows with the discontinuous Petrov-Galerkin (DPG) finite element method of Demkowicz and Gopalakrishnan [1,2]. In our…
A spacetime DPG method for the Schrodinger equation
Leszek Demkowicz, Jay Gopalakrishnan, Sriram Nagaraj +1
A spacetime Discontinuous Petrov Galerkin (DPG) method for the linear time-dependent Schrodinger equation is proposed. The spacetime approach is particularly attractive for capturi…
Coupled variational formulations of linear elasticity and the DPG methodology
Federico Fuentes, Brendan Keith, Leszek Demkowicz +1
This article presents a general approach akin to domain-decomposition methods to solve a single linear PDE, but where each subdomain of a partitioned domain is associated to a dist…
The DPG methodology applied to different variational formulations of linear elasticity
Brendan Keith, Federico Fuentes, Leszek Demkowicz
The flexibility of the DPG methodology is exposed by solving the linear elasticity equations under different variational formulations, including some with non-symmetric functional…