41 citations · 383 across the 48 of their papers we have counts for
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math.NA2011★ 2 cited
On the performance of high-order finite elements with respect to maximum principles and the non-negative constraint for diffusion-type equations
G. S. Payette, K. B. Nakshatrala, J. N. Reddy
The main aim of this paper is to document the performance of -refinement with respect to maximum principles and the non-negative constraint. The model problem is (steady-state)…
math.NA2011★ 1 cited
A framework for coupled deformation-diffusion analysis with application to degradation/healing
M. K. Mudunuru, K. B. Nakshatrala
This paper deals with the formulation and numerical implementation of a fully coupled continuum model for deformation-diffusion in linearized elastic solids. The mathematical model…
math.NA2011★ 1 cited
A mixed formulation for a modification to Darcy equation based on Picard linearization and numerical solutions to large-scale realistic problems
K. B. Nakshatrala, D. Z. Turner
In this paper we consider a modification to Darcy equation by taking into account the dependence of viscosity on the pressure. We present a stabilized mixed formulation for the res…