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Riccardo Ricci, Domingo A. Tarzia (2003)
Bollettino dell'Unione Matematica Italiana
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We study the asymptotic behaviour () of the solutions of a nonlinear diffusion problem with strong absorption. We prove convergence to the stationary solution in the by means of an appropriate family of sub and supersolutions. In appendix we prove the well posedness of the problem.
Stynes, Martin, Kellogg, R. Bruce
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Martin Stynes, R. Bruce Kellogg (2002)
Mathematica Bohemica
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Kolmogorov -widths are an approximation theory concept that, for a given problem, yields information about the optimal rate of convergence attainable by any numerical method applied to that problem. We survey sharp bounds recently obtained for the -widths of certain singularly perturbed convection-diffusion and reaction-diffusion boundary value problems.
Gonzalo Galiano, Mark Adriaan Peletier (1998)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Pavel Bochev, Kara Peterson (2013)
Open Mathematics
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We formulate and study numerically a new, parameter-free stabilized finite element method for advection-diffusion problems. Using properties of compatible finite element spaces we establish connection between nodal diffusive fluxes and one-dimensional diffusion equations on the edges of the mesh. To define the stabilized method we extend this relationship to the advection-diffusion case by solving simplified one-dimensional versions of the governing equations on the edges. Then we use...