具有罗宾型跃迁界面条件的达西流的后验误差估计

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2024-10-08 DOI:10.1016/j.camwa.2024.09.031

Jeonghun J. Lee

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引用次数: 0

摘要

在这项研究中，我们开发了一种后验误差估算器，适用于具有罗宾型跃迁界面条件的达西流问题的混合有限元方法。我们利用斯腾伯格后处理方法构建了一个能量正态类型的后验误差估计器。利用界面适应的 Helmholtz 型分解和界面适应的 Scott-Zhang 型插值算子证明了估计器的可靠性。此外，还证明了后处理压力的局部效率和可靠性。还包括使用我们的估算器说明自适应算法的数值结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A posteriori error estimates of Darcy flows with Robin-type jump interface conditions

In this work we develop an a posteriori error estimator for mixed finite element methods of Darcy flow problems with Robin-type jump interface conditions. We construct an energy-norm type a posteriori error estimator using the Stenberg post-processing. The reliability of the estimator is proved using an interface-adapted Helmholtz-type decomposition and an interface-adapted Scott–Zhang type interpolation operator. A local efficiency and the reliability of post-processed pressure are also proved. Numerical results illustrating adaptivity algorithms using our estimator are included.

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来源期刊

Computers & Mathematics with Applications 工程技术-计算机：跨学科应用

CiteScore

5.10

自引率

10.30%

发文量

396

审稿时长

9.9 weeks

期刊介绍： Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).