62 citations · 405 across the 26 of their papers we have counts for
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math.NA2017
Finite volume schemes for multilayer diffusion
Nathan G. March, Elliot J. Carr
This paper focusses on finite volume schemes for solving multilayer diffusion problems. We develop a finite volume method that addresses a deficiency of recently proposed finite vo…
math.NA2017★ 62 cited
Semi-analytical solution of multilayer diffusion problems with time-varying boundary conditions and general interface conditions
Elliot J. Carr, Nathan G. March
We develop a new semi-analytical method for solving multilayer diffusion problems with time-varying external boundary conditions and general internal boundary conditions at the int…
math.NA2017★ 18 cited
Calculating how long it takes for a diffusion process to effectively reach steady state without computing the transient solution
Elliot J. Carr
Mathematically, it takes an infinite amount of time for the transient solution of a diffusion equation to transition from initial to steady state. Calculating a \textit{finite} tra…