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Implicit discretization of Lagrangian gas dynamics

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Abstract

We construct an original framework based on convex analysis to prove the existence and uniqueness of a solution to a class of implicit numerical schemes. We propose an application of this general framework in the case of a new non linear implicit scheme for the 1D Lagrangian gas dynamics equations. We provide numerical illustrations that corroborate our proof of unconditional stability for this non linear implicit scheme.
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Dates and versions

cea-03284467 , version 1 (12-07-2021)
cea-03284467 , version 2 (01-06-2022)
cea-03284467 , version 3 (02-11-2022)

Identifiers

  • HAL Id : cea-03284467 , version 1

Cite

A. Plessier, S. del Pino, B. Després. Implicit discretization of Lagrangian gas dynamics. 2021. ⟨cea-03284467v1⟩
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