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Maximum Norm A Posteriori Error Estimate for a 2D Singularly Perturbed Semilinear Reaction-Diffusion Problem

✍ Scribed by Kopteva, Natalia

Book ID
118191018
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
226 KB
Volume
46
Category
Article
ISSN
0036-1429

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An a posteriori error estimate for finite element approximations of a singularly perturbed advection-diffusion problem
✍ Song Wang πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 843 KB

In this paper the author presents an a posteriori error estimator for approximations of the solution to an advectiondiffusion equation with a non-constant, vector-valued diffusion coefficient e in a conforming finite element space. Based on the complementary variational principle, we show that the e