17 citations · 33 across the 5 of their papers we have counts for
5 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…
On dual Schur domain decomposition method for linear first-order transient problems
K. B. Nakshatrala, A. Prakash, K. D. Hjelmstad
This paper addresses some numerical and theoretical aspects of dual Schur domain decomposition methods for linear first-order transient partial differential equations. In this work…
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…
Consistent Newton-Raphson vs. fixed-point for variational multiscale formulations for incompressible Navier-Stokes
D. Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad
The following paper compares a consistent Newton-Raphson and fixed-point iteration based solution strategy for a variational multiscale finite element formulation for incompressibl…
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…