拉格朗日气体动力学的隐式离散化

IF 1.9 3区数学 Q2 Mathematics Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique Pub Date : 2022-12-20 DOI:10.1051/m2an/2022102

Alexiane Plessier, S. Del Pino, B. Després

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引用次数: 0

摘要

为了证明一类隐式数值格式解的存在唯一性，我们构造了一个基于凸分析的原始框架。我们在一维拉格朗日气体动力学方程的一种新的非线性隐式格式中提出了这种一般框架的应用。我们给出了数值例证来证实我们对这种非线性隐式格式的无条件稳定性的证明。

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Implicit discretization of Lagrangian gas dynamics

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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来源期刊

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique 数学-应用数学

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

6-12 weeks

期刊介绍： M2AN publishes original research papers of high scientific quality in two areas: Mathematical Modelling, and Numerical Analysis. Mathematical Modelling comprises the development and study of a mathematical formulation of a problem. Numerical Analysis comprises the formulation and study of a numerical approximation or solution approach to a mathematically formulated problem. Papers should be of interest to researchers and practitioners that value both rigorous theoretical analysis and solid evidence of computational relevance.