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Time discretization versus state quantization in the simulation of a one-dimensional advection–diffusion–reaction equation
(SAGE Publications, 2016-01)
In this article, we study the effects of replacing the time discretization by the quantization of the state variables on a one-dimensional (1D) advection–diffusion–reaction (ADR) problem. For that purpose the 1D ADR equation ...
Delay nonlinear boundary conditions as limit of reactions concentrating in the boundary
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2012)
In this work, we are interested in the dynamic behavior of a parabolic problem with nonlinear boundary conditions and delay in the boundary. We construct a reaction-diffusion problem with delay in the interior, where the ...
A Robust Dpg Method For Singularly Perturbed Reaction-Diffusion Problems
(2017)
We present and analyze a discontinuous Petrov-Galerkin method with optimal test functions for a reaction-dominated diffusion problem in two and three space dimensions. We start with an ultraweak formulation that comprises ...