二维H(div)和H(curl)空间到其迹空间的离散的拟范数等价定理  

Discrete Quasi-norm Equivalence Theorem of Two-dimensional H(div)and H(curl)Spaces to Their Trace Spaces

作　　者：霍志鑫 王猛 王园园 孔德志 HUO Zhi-xin;WANG Meng;WANG Yuan-yuan;KONG De-zhi(Foundation Department, Hebei University of Water Resources and Electric Engineering, 061001, Cangzhou, Hebei, China)

机构地区：[1]河北水利电力学院基础部,河北省沧州市061001

出　　处：《河北水利电力学院学报》2020年第1期67-73,共7页Journal of Hebei University Of Water Resources And Electric Engineering

摘　　要：文中给出了相应迹空间H^-1/2(?Ω)到二维H(div;Ω)和H(curl;Ω)空间的离散的调和延拓定理的证明,从而得到了二维H(div;Ω)和H(curl;Ω)空间到相应迹空间H-1/2(?Ω)的离散的拟范数等价定理,这在理论分析和数值计算方法的设计中有很重要的作用。In this paper,the discrete harmonic extension theorem of the corresponding trace space H^-1/2(?Ω)into the two-dimensional H(div;Ω)and H(div;Ω)space is proved in detail,and the discrete quasi-norm equivalence theorem of the two-dimensional H(div;Ω)and H(curl;Ω)space to the corresponding trace space H^-1/2(?Ω)is obtained,which plays an important role in theoretical analysis and the design of numerical calculation methods.

关 键 词：二维H(div Ω)空间 二维H(curl Ω)迹空间H^(-1/2)(■Ω) 离散的调和延拓定理 离散迹定理 离散的拟范数等价定理 

分 类 号：O174[理学—数学]