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harmonic extension
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  调和延拓
     The Gravitational Potential of an Ellipsoid's Body with a Constant Density and Applications of Harmonic Extension in the Boundary Value Problem
     均质椭球体的引力位以及调和延拓在边值问题中的应用
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  相似匹配句对
     On Extension of Brand
     浅谈品牌延伸
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     Extension of Measures
     测度的扩张
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     Harmonic and Administration
     谐波及其治理
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     ON HARMONIC OF VVVF
     交流变频调速(VVVF)的谐波问题
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     The note gives an extension of extremum principle for harmonic functions.
     本文给出调和函数极值原理的一种推广。
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  harmonic extension
This paper is aimed at the local theory of Toeplitz operators including harmonic extension, harmonic approximation and finite section method.
      
We give a characterization of Possonian domains inRn, i.e., those domains for which every bounded harmonic function is the harmonic extension of some function inL∞ of harmonic measure.
      
The union of this harmonic map and the minimal current is the natural generalization of the harmonic extension.
      
There is an obvious topological obstruction for a finite energy unimodular harmonic extension of a S1-valued function defined on the boundary of a bounded regular domain of Rn.
      
Therefore, E is independent of v and it is the harmonic extension of the Dirichlet datum that takes 1 on 1 and 0 on 2.
      
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We mainly consider the nonconforming finite elements, with their continuity at the nodes of the mesh or at the middle points of each element of the mesh.Based on the energy equivalent relation, independent of the quasi-uniform mesh parameter, between the discrete harmonic extensions in different subdomains, we give a unitary and systematic way to design and analyse the domain decomposition methods for second order self-adjoint elliptic problems with' twO subdomains in conforming or nonconforming discrete...

We mainly consider the nonconforming finite elements, with their continuity at the nodes of the mesh or at the middle points of each element of the mesh.Based on the energy equivalent relation, independent of the quasi-uniform mesh parameter, between the discrete harmonic extensions in different subdomains, we give a unitary and systematic way to design and analyse the domain decomposition methods for second order self-adjoint elliptic problems with' twO subdomains in conforming or nonconforming discrete cases, inspite of the loss of global continuity of the nonconforming finite elements. A concise summary of all existing domain decomposition methods with two substructures is presented.

关于解椭圆型问题的两个子区域不重叠区域分解算法顾金生,胡显承(清华大学)ONTHEDOMAINDECOMPOSITIONMETHODSFORELLIPTICPROBLEMSWITHTWOSUBSTRUCTURES¥GuJin-sheng;HuXian...

Analytical expression of an ellipsoid body's gravitation potential with constant density is derived and harmonic extension about gravitation potential of the earth is also discussed based on them. Introducing some new concepts such as ex geoid and gravith ex potential, a new type of boundary value problem is established. Apart from those, we also discuss computations of orthometric ex height and reduction of ex gravity on the earth's surface to the ex geoid.

本文作者首次推导均质椭球体的内部和外部引力位的数学表达式 ,由此应用调和延拓的思想引入外大地水准面和外部位函数的概念 ;建立了关于外扰动位的边值问题 ,该问题的界面规则而且具有 O( T2 )的精度 ;作为一个整体 ,讨论了外正高的计算和将地面点的重力测量值在 O( T2 )精度下归算到外大地水准面的方法

 
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