多边形网格上孔隙-弹性力学模型的混合虚拟元素方法

IF 2.9 2区 数学 Q1 MATHEMATICS, APPLIED Computers & Mathematics with Applications Pub Date : 2024-10-08 DOI:10.1016/j.camwa.2024.09.025
Yanli Chen , Xin Liu , Wenhui Zhang , Yufeng Nie
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引用次数: 0

摘要

本研究介绍并分析了多边形网格上的混合虚拟元素法,用于孔-弹性力学模型的数值离散化。在空间离散化方面,我们采用多边形网格上的混合虚拟元素法,并结合 Newmark-β 积分方案进行时间离散化。我们对连续和半离散问题进行了稳定性分析,并得出了半离散情况下能量规范的误差估计值。我们进行了数值实验来验证理论分析,在 Voronoi 网格上的结果表明,该算法能有效处理各种动态粘度。
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Mixed virtual element methods for the poro-elastodynamics model on polygonal grids
This work introduces and analyzes the mixed virtual element method on polygonal meshes for the numerical discretization of poro-elastodynamics models. For spatial discretization, we employ the mixed virtual element method on polygonal meshes, coupled with Newmark-β integration schemes for time discretization. We present a stability analysis for both the continuous and semi-discrete problems and derive error estimates for the energy norm in the semi-discrete case. Numerical experiments are conducted to verify the theoretical analysis, and the results on Voronoi meshes demonstrate that the algorithm effectively handles various dynamic viscosities.
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来源期刊
Computers & Mathematics with Applications
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).
期刊最新文献
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