有限元法
惩罚法
规范(哲学)
压缩性
混合有限元法
多边形网格
数学
扩展有限元法
斯托克斯问题
间断伽辽金法
应用数学
收敛速度
数学分析
趋同(经济学)
先验与后验
伽辽金法
数学优化
计算机科学
几何学
物理
机械
热力学
计算机网络
频道(广播)
哲学
认识论
政治学
法学
经济
经济增长
标识
DOI:10.1016/j.matcom.2023.12.016
摘要
In this paper, we consider an enriched cut finite element method (ECFEM) with interface-unfitted meshes for solving Stokes interface equations consisting of two incompressible fluids with different viscosities. By approximating the velocity with the enriched P1 element and the pressure with the P0 element, and stabilizing the Galerkin variational formulation with suitable ghost penalty terms, we propose the new ECFEM and prove that it is well-posed and has the optimal a priori error estimate in the energy norm. All derived results are independent of the interface position. Moreover, compared with other conforming finite element methods with the optimal rate in convergence, the proposed scheme here not only has the minimum degrees of freedom, but also avoids using the derivative of the pressure in the penalty term. The presented numerical examples validate the theoretical predictions.
科研通智能强力驱动
Strongly Powered by AbleSci AI