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math.NA2013
A posteriori error estimates for time-dependent reaction-diffusion problems based on the Payne-Weinberger inequality
Svetlana Matculevich, Pekka Neittaanmäki, Sergey Repin
We consider evolutionary reaction-diffusion problem with mixed Dirichlet--Robin boundary conditions. For this class of problems, we derive two-sided estimates of the distance betwe…
math.NA2013★ 9 cited
Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation
Svetlana Matculevich, Sergey Repin
We derive guaranteed bounds of distance to the exact solution of the evolutionary reaction-diffusion problem with mixed Dirichlet-Neumann boundary condition. It is shown that two-s…