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1)  characteristic finite element
特征有限元
1.
Characteristic finite element method with moving mesh for nonlinear parabolic integrodifferential equations;
对流占优的抛物型积分微分方程的变网格特征有限元
2.
A procedure is defined to discrete the pressure equation by a standard finite element method and the concentration equation by a multistep characteristic finite element method.
用有限元法离散压力方程,向后多步特征有限元法离散饱和度方程,提高了时间误差阶,并得到与单步特征有限元法相同的L2(Ω)模先验误差估计。
3.
A characteristic finite element method is introduced and analysis for approximating the solution of threedimensional Convectiondiffusion equation,Optimal order L2 error estimates are demonstrated.
讨论了非线性对流扩散方程的特征有限元方法及理论分析,应用先验估计理论得出了最优阶误差估计。
2)  Characteristics finite element
特征有限元
1.
A least-squares mixed element and the method of characteristics finite element are combined to construct a new numerical method and get optimal estimates.
对定义在三维空间中的对流占优扩散微分方程提出使用一种数值方法:最小二乘特征有限元方法。
2.
There has been a great development for the method of finite element since 1950s in practical application, for example: least-squares mixed finite element method, characteristics finite element and moving mesh finite element.
有限元方法自二十世纪五十年代诞生以来,在实际应用中有了长足的发展,如最小二乘混合有限元法;特征有限元和变网格有限元法。
3)  transient behavior of semiconductor
特征有限元
1.
Characteristic element methods are introduced and analyzed for approximating the solutions of three-dimensional transient behavior of semiconductor with heat-conduction, whose mathematical model is initial and boundary problem of nonlinear partial differential equation system.
研究三维热传导型半导体瞬态问题的特征有限元方法及其理论分析,其数学模型是一类非线性偏微分方程的初边值问题。
4)  characteristic finite element solution
特征有限元解
5)  characteristic finite element method
特征线有限元法
1.
Miscible pollutant transport model for unsaturated soils and characteristic finite element method;
非饱和土中溶混污染物运移模型及特征线有限元法
6)  characteristic finite element method
特征有限元法
1.
The pollution of groundwater by polluted surface water from The Grand Canal under pumping condition was predicted using means of characteristic finite element method.
特征有限元法预测了在井群开采条件下大运河水对某市潜水污染的影响,计算了直到2020年的污染物相对浓度的分布。
2.
The Galerkin characteristic finite element method is applied to set up the numerical model of 1-D water flow in unsaturated soils with as variable, and the optimal error estimates is obtained.
运用Galerkin特征有限元法,建立了以为因变量的一维非饱和土壤水分运动Richards模型的特征有限元数值模型,得出了近似解最优阶2的误差估计。
3.
In this paper, a groundwater quality model is discussed and an expression that is suitable to characteristic finite element method is given.
本文讨论了地下水水质模型的表达形式,给出了一种适合于特征有限元法求解的表示方法,并对现有的特征有限元法进行了改进,提高了计算效率。
补充资料:半单Lie代数有限维表示的特征标


半单Lie代数有限维表示的特征标
imensional representation of a semi-simple Lie algebra character of a finite-

  半单Lie代数有限维表示的特征标沁haracter of a 6nite-dimensio皿1 rePresenta600 ofa semi滋mPleLiealgebra:xapaRTep KO“e,“OMep“0r0 IIPe口CTa.Je”“翻no月ynpo-℃To曲a通.e6P‘加} 一个函数,它把表示的每一个仪对应到相应的权子空间的维数.如果勺是特征为O的代数闭域人仁半一单Lie代数g的一个Cartan子代数,甲:g争妇(v)是一个线性表示而代是对应于又〔为’的权子空间,那么表示华(或g模f)的特征标可以写成以下形式: eh于二艺(d;mF;)e’ e卜并且可以看成群环Z肠’」的一个元素如果人二C且甲=d小,其中。:G一GL(F)是以q为其Lie代数的一个Lie群G的解析线性表不,那么记法e汽可以看成b上的函数而ch价与函数x卜,场(e‘)伪〔专)一致,这卫x。是表示巾的特征标Lje代数的表示的特征标具有以下性质: ch( FI由VZ)二chF:一+ch卜2, eh(Vl⑧卜一2)=eh FI·eh否/2
  
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