典型文献
ON DISTRIBUTED H1 SHAPE GRADIENT FLOWS IN OPTIMAL SHAPE DESIGN OF STOKES FLOWS:CONVERGENCE ANALYSIS AND NUMERICAL APPLICATIONS
文献摘要：
We consider optimal shape design in Stokes flow using H1 shape gradient flows based on the distributed Eulerian derivatives.MINI element is used for discretizations of Stokes equation and Galerkin finite element is used for discretizations of distributed and boundary H1 shape gradient flows.Convergence analysis with a priori error estimates is provided under general and different regularity assumptions.We investigate the performances of shape gradient descent algorithms for energy dissipation minimization and obstacle flow.Numerical comparisons in 2D and 3D show that the distributed H1 shape gradient flow is more accurate than the popular boundary type.The corresponding distributed shape gradient algorithm is more effective.
文献关键词：
中图分类号：
作者姓名：
Jiajie Li;Shengfeng Zhu
作者机构：
School of Mathematical Sciences,East China Normal University,Shanghai 200241,China
文献出处：
引用格式：
[1]Jiajie Li;Shengfeng Zhu-.ON DISTRIBUTED H1 SHAPE GRADIENT FLOWS IN OPTIMAL SHAPE DESIGN OF STOKES FLOWS:CONVERGENCE ANALYSIS AND NUMERICAL APPLICATIONS)[J].计算数学（英文版）,2022(02):231-257
A类：
DISTRIBUTED,GRADIENT,OPTIMAL,CONVERGENCE,ANALYSIS,NUMERICAL
B类：
H1,SHAPE,FLOWS,DESIGN,OF,STOKES,AND,APPLICATIONS,We,consider,optimal,shape,design,Stokes,using,gradient,flows,distributed,Eulerian,derivatives,MINI,element,used,discretizations,equation,Galerkin,finite,boundary,Convergence,analysis,priori,error,estimates,provided,under,general,different,regularity,assumptions,investigate,performances,descent,algorithms,energy,dissipation,minimization,obstacle,Numerical,comparisons,2D,show,that,more,accurate,than,popular,type,corresponding,effective
AB值：
0.533334
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