四边形上新的H(div)协调Darcy-Stokes元  

A NEW H(div)-CONFORMING DARCY-STOKES ELEMENT ON QUADRILATERAL MESHES

作　　者：包园 孟兆良[1] 罗钟铉[1] Bao Yuan;Meng Zhaoliang;Luo Zhongxuan(School of Mathematical Sciences,Dalian University of Technology,Dalian 116024)

机构地区：[1]大连理工大学数学科学学院,大连116024

出　　处：《高等学校计算数学学报》2020年第4期308-327,共20页Numerical Mathematics A Journal of Chinese Universities

基　　金：This work is partially supported by NNSFC:61720106005.

摘　　要：This work develops a new mixed finite element method for arbitraryconvex quadrilateral meshes to solve the Darcy-Stokes problem.We propose anH(div)-conforming element which based on a spline element over the crisscrosssubdivision of a quadrilateral to approximate the velocity.And the pressure isapproximated by piecewise constant.Then we give the convergence analysis of ourelement and construct a new discrete de Rham complex.Moreover,an explicit lo-cal basis representation is provided.Lastly,numerical tests verify the convergenceanalysis.

关 键 词：Darcy-Stokes Problem Finite Elements H(div)-conforming Quadrilateral Meshes 

分 类 号：O241[理学—计算数学]