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arxiv: 1407.6202 · v2 · pith:OESOV54Lnew · submitted 2014-07-23 · 🧮 math.FA · cs.NA

Estimates of the distance to the exact solution of parabolic problems based on local Poincar\'e type inequalities

classification 🧮 math.FA cs.NA
keywords distanceexactsolutionadmissibleboundaryboundsconditionsderive
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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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