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Other Publications Comptes rendus de l'Académie des sciences. Série I, Mathématique Year : 2005

A method of Lagrange--Galerkin of second order in time

Abstract

The Lagrange--Galerkin method is the coupling of a finite element method for space discretisation with the method of characteristics for the discretisation of the material derivative in some parabolic problems. We propose a new scheme of second-order accuracy in time, which in contrast with previous methods does not require a correction term. Numerical examples, including Burgers equation, illustrate the convergence rate and low computational cost of the method.
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Dates and versions

inria-00000402 , version 1 (05-10-2005)

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  • HAL Id : inria-00000402 , version 1

Cite

Jocelyn Etienne. A method of Lagrange--Galerkin of second order in time. 2005. ⟨inria-00000402⟩

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