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1.
In this article, the finite element solution of quasi-three-dimensional (quasi-3-D) groundwater flow was mathematically analyzed. The research shows that the spurious oscillation solution to the Finite Element Model (FEM) is the results choosing the small time step ?t or the large element size L and using the non-diagonal storage matrix. The mechanism for this phenomenon is explained by the negative weighting factor of implicit part in the discretized equations. To avoid spurious oscillation solution, the criteria on the selection of ?t and L for quasi-3-D groundwater flow simulations were identified. An application example of quasi-3-D groundwater flow simulation was presented to verify the criteria. The results indicate that temporal discretization scale has significant impact on the spurious oscillations in the finite-element solutions, and the spurious oscillations can be avoided in solving practical quasi-3-D groundwater flow problems if the criteria are satisfied.  相似文献   
2.
针对有效核函数(active kernel function)未知的联合平移不变子空间(Union of Shift-InvariantSubspaces,USI),提出了一种压缩采样模型,基于稀疏重构理论,该采样模型能够有效降低信号的采样率。首先建立一个多脉冲雷达回波信号模型,在信号的延时-多普勒平面上对延时轴离散化,将回波信号表示为USI信号;然后在根据构建的压缩采样模型降低信号采样率的同时,利用稀疏贝叶斯学习和ESPRIT算法由信号样本值估计出雷达回波信号的延时、多普勒频移和反射系数等参数;最后仿真验证了研究结论的有效性。  相似文献   
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《Quality Engineering》2012,24(2):161-171

Electromagnetic emissions are radiated from every part of a personal computer motherboard, thus producing electromagnetic interference (EMI). EMI has an adverse effect on the surrounding environment because EMI could cause malfunctions or fatal problems in other digital devices. EMI engineers diagnose motherboard EMI problems using the electromagnetic noise data measured by the spectrum analyzer. Finding the sources (e.g., PS2, USB, VGA) of electromagnetic noise is a time-consuming process. The attribute selection and fault diagnosis was developed based on the advantage of rough set theory (RST). RST is a novel data mining approach for dealing with vagueness and uncertainty. It can be used to find hidden patterns in data sets. In this study, the basic rough set theory concepts are introduced. The rough set approach enables one to discover the minimal subsets of condition attributes associated with the motherboard EMI fault diagnosis problem. The operating sequence includes data collection, data preprocessing, discretization, attribute reduction, reduction filtering, rule generation, and classification accuracy. Historical EMI noise data, colleted from a famous motherboard company in Taiwan, were used to generate diagnostic rules. Our research result (average diagnostic accuracy of 80% above) shows that the RST model is a promising approach for EMI diagnostic support systems.  相似文献   
4.
    
In this paper, a method to account for the point‐wise discretization error in the solution for boundary element method is developed. Interval methods are used to enclose the boundary integral equation and a sharp parametric solver for the interval linear system of equations is presented. The developed method does not assume any special properties besides the Laplace equation being a linear elliptic partial differential equation whose Green's function for an isotropic media is known. Numerical results are presented showing the guarantee of the bounds on the solution as well as the convergence of the discretization error. Copyright © 2008 John Wiley & Sons, Ltd.  相似文献   
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Design sensitivities for structures under transient dynamic loads with constraints on displacements and stresses are sensitive to proper space and time discretization. Accuracy within acceptable error limit is feasible when an appropriate time increment coupled with an optimal mesh is used. In this paper, we handle this problem by systematically achieving an adaptive mesh for a reasonably fine but constant time step. Design sensitivities calculated for a good number of examples demonstrate the behaviour of this integrated approach. Comparison is made in terms of total computational time between time-marching scheme and modal superposition method in the context of design sensitivity calculation. Optimal meshes are also obtained corresponding to adaptive time stepping and accurate values of design sensitivities are computed using the optimal mesh and the values of the time increment obtained adaptively. © 1998 John Wiley & Sons, Ltd.  相似文献   
7.
    
The main purpose of this paper is to incorporate a refined hysteresis model, viz., a vector Preisach model, in 2-D magnetic field computations. Two complementary formulations, based either on the scalar or on the vector potential, are considered. The governing Maxwell equations are rewritten in a suitable way, that allows to take into account the proper magnetic material parameters and, moreover, to pass to a variational formulation. The variational problems are solved numerically by a Finite Element approximation, using a quadratic mesh, followed by a time discretization method based upon a modified Cranck–Nicholson algorithm. Finally, the effectiveness of the presented mathematical tools have been confirmed by several numerical experiments, comparing the complementarity of the two procedures. © 1998 John Wiley & Sons, Ltd.  相似文献   
8.
    
New theoretical ideas and developments describing the fundamental underlying basis for formulating a general family of time discretization operators for first‐order parabolic systems emanating from the framework of a generalized time weighted philosophy are first presented which can be broadly classified as pertaining to Type 1, Type 2 and Type 3 family of time discretization operators. As a consequence, the evolution including the clear distinction and the bridging of the relationships between time operators termed as integral operators to the so‐called integration operators in time are theoretically developed and demonstrated. The present developments seem to not only provide avenues leading to new algorithms for transient analysis but also provide generalizations and framework to recover a wide variety of existing algorithms. Consequently, under the umbrella of the present framework, a variety of plausible new approaches for generating Nth‐order accurate time discretization operators from approximations introduced to Type 1 integral operators in time are first described followed by the developments systematically leading to Type 2 time discretization operators, and subsequently to a wide class of Type 3 time integration operators including the recovery of a variety of known existing time integration operators which can be uniquely identified by Discrete Numerically Assigned (DNA) algorithmic markers. Of the various developments, of noteworthy mention and emphasis here are a new family of L‐stable Nth‐order Integration Operators (LNInO) of Type 2 for transient computations. Subsequently, some practically useful second‐order forms are specifically illustrated and highlighted. The stability and accuracy characteristics are also described for a variety of generated algorithms applicable for transient heat transfer computations. Although the primary focus is on the theoretical developments encompassing linear operators, some simple numerical examples are finally demonstrated to merely illustrate the salient features of the proposed developments. Copyright © 1999 John Wiley & Sons, Ltd.  相似文献   
9.
An elliptic optimal control problem involving the L1 norm of the control in the cost functional is considered in this paper. We use the full discretization and the variational discretization to approximate the control problem and the efficient and reliable a posteriori error estimates are obtained for the two cases. For the variational discretization, we also analyze the convergence of adaptive finite element methods. In the end, some examples are provided to validate our analysis.  相似文献   
10.
一种基于贝叶斯测度的有监督离散化方法   总被引:1,自引:0,他引:1  
传统的朴素贝叶斯不能处理连续属性,文中基于贝叶斯测度提出一种有监督离散化方法。它能够在无先验知识的前提下,自动寻求最佳的离散子区间数目和区间划分。在此基础上根据MDL准则控制离散化子区间的数目,使学习方法的精确度和复杂度达到均衡。在UCI机器学习数据集上对该方法进行了验证,取得了良好的效果。  相似文献   
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