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math.NA2012★ 4 cited
A numerical methodology for enforcing maximum principles and the non-negative constraint for transient diffusion equations
K. B. Nakshatrala, H. Nagarajan, M. Shabouei
Transient diffusion equations arise in many branches of engineering and applied sciences (e.g., heat transfer and mass transfer), and are parabolic partial differential equations.…
math.NA2010★ 24 cited
Enforcing the non-negativity constraint and maximum principles for diffusion with decay on general computational grids
H. Nagarajan, K. B. Nakshatrala
In this paper, we consider anisotropic diffusion with decay, and the diffusivity coefficient to be a second-order symmetric and positive definite tensor. It is well-known that this…