Estimates of the distance to the exact solution of parabolic problems based on local Poincaré type inequalities

2014/07/23 by Matculevich, Svetlana, Repin, Sergey
#FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1407.6202

Abstract

The goal of the paper is to derive two-sided bounds of the distance between the exact solution of the evolutionary reaction-diffusion problem with mixed Dirichlet--Robin boundary conditions and any function in the admissible energy space.

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