42 citations · 207 across the 23 of their papers we have counts for
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cond-mat.mtrl-sci2015★ 25 cited
Material degradation due to moisture and temperature. Part 1: Mathematical model, analysis, and analytical solutions
C. Xu, M. K. Mudunuru, K. B. Nakshatrala
The mechanical response, serviceability, and load bearing capacity of materials and structural components can be adversely affected due to external stimuli, which include exposure…
math.NA2015
On enforcing maximum principles and achieving element-wise species balance for advection-diffusion-reaction equations under the finite element method
M. K. Mudunuru, K. B. Nakshatrala
We present a robust computational framework for advective-diffusive-reactive systems that satisfies maximum principles, the non-negative constraint, and element-wise species balanc…
math.NA2015
On mesh restrictions to satisfy comparison principles, maximum principles, and the non-negative constraint: Recent developments and new results
M. K. Mudunuru, K. B. Nakshatrala
This paper concerns with mesh restrictions that are needed to satisfy several important mathematical properties -- maximum principles, comparison principles, and the non-negative c…