17 citations · 18 across the 3 of their papers we have counts for
3 papers
A variational multiscale Newton-Schur approach for the incompressible Navier-Stokes equations
D. Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad
In the following paper, we present a consistent Newton-Schur solution approach for variational multiscale formulations of the time-dependent Navier-Stokes equations in three dimens…
A stabilized finite element formulation for advection-diffusion using the generalized finite element framework
D. Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad
The following work presents a generalized (extended) finite element formulation for the advection-diffusion equation. Using enrichment functions that represent the exponential natu…
On the stability of bubble functions and a stabilized mixed finite element formulation for the Stokes problem
D. Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad
In this paper we investigate the relationship between stabilized and enriched finite element formulations for the Stokes problem. We also present a new stabilized mixed formulation…