106 citations · 360 across the 21 of their papers we have counts for
3 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…
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…