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弱解形式
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  weak form
     The weak form of discontinuous finite element discrete equation is deduced and the programs for 2-D four nodes and 3-D eight nodes equal-parameter finite element is made.
     本文用弱解形式推导了嵌入非连续有限元格式,编制了二维4节点和三维8节点的嵌入非连续等参有限元程序,并分别给出了算例.
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  相似匹配句对
     On form
     “形式”论
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     From the "Methodology" to the "Form"
     从“方法”到“形式
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     In this paper we prove the uniqueness theorem of weak solution to the Cauchy problem of the following form ?
     在本文中我们证明了如下形式的方程的Cauchy问题弱解在?
短句来源
     The Wild Solutions of the Induced Form under the Spline Wavelet Basis in Weakly Damped Forced KdV Equation
     弱阻尼KdV方程样条小波基下约化形式弱解
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  weak form
Morphological adult type 0 is an extremely weak form of phenotype B.
      
Nonetheless, the system under study displays a property that can be considered as a weak form of differentiability of the state function with respect to control.
      
Finite element method (FEM) based on the weak form of Helmholtz equation is used to analyze electromagnetic characteristic of the lens antennas; and the radiation patterns of the lens antennas are presented.
      
To get precision calculation results, it is analyzed with finite element method (FEM) based on the weak form of Helmholtz' equation so as the complex structure can be simulated exactly.
      
Moving least-squares interpolations are used to construct the trial and test functions for the weak form.
      
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In this paper a weak solution formula of 3D eddy current field equation is derived by using Galerkin finite element method, and it is converted into a quasi-3D eddy current magnetic field formula, which can be used for the analysis of magnetic field in the end region of a large turbogenerator. In the paper the eddy current magnetic field in the end region of a 300MW turbogenerator is calculated as well.

本文采用Galerkin有限元法推导了三维,准三维涡流磁场的弱解形式.并利用所得结果,计算了一台三十万千瓦汽轮发电机端部磁场.

A finite element algorithm is proposed for solving the direct- and inverse-problems of three-dimensional boundary layers. The algorithm is constructed based on a Galerkin discretization along the traversal direction across the boundary layer, and a subdomain discretization in conjunction with a bi-directonal marching procedure along the body surface. The present algorithm would yield an explicit form of the CFL condition by incorporating the isoparametric elements, and thus provide an assurance for fast-solving...

A finite element algorithm is proposed for solving the direct- and inverse-problems of three-dimensional boundary layers. The algorithm is constructed based on a Galerkin discretization along the traversal direction across the boundary layer, and a subdomain discretization in conjunction with a bi-directonal marching procedure along the body surface. The present algorithm would yield an explicit form of the CFL condition by incorporating the isoparametric elements, and thus provide an assurance for fast-solving the problems of both modes. For the inverse mode, the displacement thicknesses are considered as a set of constrains, and are integrated into the finite element analog of the boundary layer equations via Lagrange multipliers. Several test cases are computed by the present technique, and the results show that the present technique do provide an economical as well as efficient tool for computing three-dimensional boundary layer flows.

本文提出一种适用于兰维边界层正、逆向问题的有限元格式。格式采用了对壁面法向进行Galerkin加权,沿壁面进行子域加权并作双向推进的弱解形式。它不仅可节约内存,同时还可通过与等参元素的结合应用给出CFL条件的显式表述,保证了问题的快速求解。进行逆模态计算时,以位移厚度作约束条件,通过Lagrange乘子直接引入边界层方程的有限元类比中进行整体求解。算例表明该格式模拟三维边界层流动是经济有效的。

A new technique for modeling discontinuities,such as cracks and joints in the finite element framework,was presented.A standard displacement-based approximation was enriched near a discontinuity by incorporating the enrichment functions for both discontinuous fields and near tip asymptotic fields.The technique allows the entire discontinuities to be independent of the mesh,therefore remeshing is unnecessary to model the evolvement of discontinuities.Moreover,the construction of the discontinuous enrichment function...

A new technique for modeling discontinuities,such as cracks and joints in the finite element framework,was presented.A standard displacement-based approximation was enriched near a discontinuity by incorporating the enrichment functions for both discontinuous fields and near tip asymptotic fields.The technique allows the entire discontinuities to be independent of the mesh,therefore remeshing is unnecessary to model the evolvement of discontinuities.Moreover,the construction of the discontinuous enrichment function was discussed in detail,and the discontinuous finite element discrete equation was deduced from the weak form.Numerical experiments were provided to demonstrate the utility and robustness of the proposed technique.

在传统有限元的框架上提出一个能模拟诸如裂纹、节理等非连续性结构的新技术———非连续有限元法,该方法通过反映非连续场和尖端渐进场的附加函数来丰富传统有限元的近似模式,以达到场内非协调的目的;该技术允许整个非连续性结构独立于网格,使得在模拟非连续性结构(裂纹、节理等)的演化发展时无需重剖网格.详细讨论了非连续附加函数的构造,并用弱解形式推导了非连续有限元格式,并给出算例.

 
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