41 citations · 383 across the 48 of their papers we have counts for
4 papers · 1 filter
Numerical method for Darcy flow derived using Discrete Exterior Calculus
Anil N. Hirani, Kalyana B. Nakshatrala, Jehanzeb H. Chaudhry
We derive a numerical method for Darcy flow, hence also for Poisson's equation in mixed (first order) form, based on discrete exterior calculus (DEC). Exterior calculus is a genera…
Non-negative mixed finite element formulations for a tensorial diffusion equation
K. B. Nakshatrala, A. J. Valocchi
We consider the tensorial diffusion equation, and address the discrete maximum-minimum principle of mixed finite element formulations. In particular, we address non-negative soluti…
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…
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…