Mixed finite element methods for elliptic obstacle problems

IF 2.6 3区数学 Q2 MATHEMATICS, APPLIED

Advances in Computational Mathematics Pub Date : 2026-06-09 DOI:10.1007/s10444-026-10319-2

Thomas Führer, Francisco Fuica

引用次数: 0

Abstract

Mixed variational formulations for the first-order system of the elastic membrane obstacle problem and the second-order system of the Kirchhoff–Love plate obstacle problem are proposed. The force exerted by the rigid obstacle is included as a new unknown. A priori and a posteriori error estimates are derived for both obstacle problems. The a posteriori error estimates are based on conforming postprocessed solutions. Numerical experiments conclude this work.

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椭圆型障碍问题的混合有限元方法

提出了弹性膜障碍问题的一阶系统和Kirchhoff-Love板障碍问题的二阶系统的混合变分公式。刚性障碍物所施加的力作为一个新的未知数被包括在内。对这两个障碍问题分别推导了先验和后验误差估计。后验误差估计是基于一致的后处理解决方案。数值实验对这项工作进行了总结。

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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来源期刊

Advances in Computational Mathematics 数学-应用数学

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

3 months

期刊介绍： Advances in Computational Mathematics publishes high quality, accessible and original articles at the forefront of computational and applied mathematics, with a clear potential for impact across the sciences. The journal emphasizes three core areas: approximation theory and computational geometry; numerical analysis, modelling and simulation; imaging, signal processing and data analysis. This journal welcomes papers that are accessible to a broad audience in the mathematical sciences and that show either an advance in computational methodology or a novel scientific application area, or both. Methods papers should rely on rigorous analysis and/or convincing numerical studies.