A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations

IF 1.9 3区 数学 Q2 Mathematics
P. Ciarlet, Minh Hieu Do, F. Madiot
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引用次数: 0

Abstract

Abstract. We analyse a posteriori error estimates for the discretization of the neutron diffusion equations with mixed finite elements. We provide guaranteed and locally efficient estimators on a base block equation, the one-group neutron diffusion equation. We pay particular attention to AMR strategies on Cartesian meshes, since such structures are common for nuclear reactor core applications. We exhibit a robust marker strategy for this specific constraint, the direction marker strategy.
中子扩散方程混合有限元离散化的后验误差估计
摘要本文分析了混合有限元中子扩散方程离散化的后验误差估计。我们对基块方程,即单群中子扩散方程,给出了保证的局部有效估计。我们特别关注笛卡尔网格上的AMR策略,因为这种结构在核反应堆堆芯应用中很常见。我们展示了一种针对这种特定约束的稳健标记策略,即方向标记策略。
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来源期刊
CiteScore
2.70
自引率
5.30%
发文量
27
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.
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