41 citations · 383 across the 48 of their papers we have counts for
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math.NA2013★ 2 cited
Modification to Darcy model for high pressure and high velocity applications and associated mixed finite element formulations
J. Chang, K. B. Nakshatrala
The Darcy model is based on a plethora of assumptions. One of the most important assumptions is that the Darcy model assumes the drag coefficient to be constant. However, there is…
math.NA2013★ 28 cited
On multi-time-step monolithic coupling algorithms for elastodynamics
S. Karimi, K. B. Nakshatrala
We present a way of constructing multi-time-step monolithic coupling methods for elastodynamics. The governing equations for constrained multiple subdomains are written in dual Sch…
math.NA2013★ 2 cited
A framework for coupling flow and deformation of the porous solid
D. Z. Turner, K. B. Nakshatrala, M. J. Martinez
In this paper, we consider the flow of an incompressible fluid in a deformable porous solid. We present a mathematical model using the framework offered by the theory of interactin…