Titlebook: Spectral Elements for Transport-Dominated Equations; Daniele Funaro Book 1997 Springer-Verlag Berlin Heidelberg 1997 Gebietszerlegungsmeth

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Steady Transport-Diffusion Equations,ferential operators in which the second-order terms are dominated by the first-order terms, giving rise to the boundary layer phenomenon. To better deal with these equations, a modified version of the Legendre collocation grid will be considered.

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The Spectral Element Method,e approximated solution is a patchwork of different algebraic polynomials defined in the subdomains and is determined as the result of a preconditioned iterative procedure. At any iteration, in any subdomain, the corresponding polynomial satisfies a collocation problem.

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https://doi.org/10.1007/978-3-642-59185-3Gebietszerlegungsmethoden; Spektralkollokationsverfahren; Transport-dominierte Gleichungen; domain deco

BOLUS

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排名真古怪

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Time Discretization,We turn our attention to the approximation of partial differential equations where the solutions also depend on time. We discuss some well-known boundary-value problems and consider their discretization both in space and time.