Replacing H by H2

Mirko Rokyta

A chapter in Applied Nonlinear Analysis, 2002, pp 469-484 from Springer

Abstract: Abstract We study higher order MUSCL type finite volume scheme applied to linear convection dominated diffusion problem in a bounded convex domain Ω ⊂ ℝ2. Although the original problem is linear, the numerical problem becomes non-linear, due to MUSCL type reconstruction/limiter technique. For second order schemes, an a-priori estimate of order h2 for the discrete L2 norm is obtained. Moreover, we discuss the solvability of the corresponding nonlinear discrete problem.

Keywords: Convection dominated diffusion equation in 2D; upwind finite volume scheme; higher order finite volume scheme; a-priori error estimates; MUSCL type reconstruction/limiter (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-306-47096-7_32

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DOI: 10.1007/0-306-47096-9_32

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