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A NEW STABILIZED FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION–DIFFUSION EQUATIONS

Huo-yuan Duan
Journal of Computational Mathematics
Vol. 20, No. 1 (JANUARY 2002), pp. 57-64
Stable URL: http://www.jstor.org/stable/43692981
Page Count: 8
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A NEW STABILIZED FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION–DIFFUSION EQUATIONS
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Abstract

This paper is devoted to the development of a new stabilized finite element method for solving the advection–diffusion equations having the form —k Δ u + a̲ ⚫ ∇̲ u + σ u = f with a zero Dirichlet boundary condition. We show that this methodology is coercive and has a uniformly optimal convergence result for all mesh–Peclet number.

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