具备有限维修能力的舰船编队保障方案优化

以舰船编队维修保障资源优化为研究背景,在VARI-METRIC理论基础上,拓展了“无限维修总体”的假设条件,根据M/M/c排队论,建立了有限维修能力约束下的舰船装备可用度评估模型。以保障费用为优化目标,在装备可用度指标约束下,采用边际优化算法,对出航前舰船编队维修保障资源进行综合优化。通过任务想定,给出了优化结果,并对其进行了分析,结果较为合理。研究结论能够为装备保障管理人员制定保障方案提供决策支持。     

开关磁阻电机（SRM）新型定子极型及其电磁关系仿真研究

提出了开关磁阻电机的一新型的定子极型,研究了定子极型改进后电机的基本电磁关系,并用有限元法计算了其性能。通过理论分析和实例仿真计算可知,这种改进的定子极型可以使电机的转矩脉动降低、起动能力提高、输出转矩增加。     

体绘制中的快速插值方法

插值运算是体绘制中的基本运算,其操作量很大。为此,本文提出一种的新的插值方法,减少每次插值运算的计算量,并根据样点位置及其附近的资料情况减少插值运算的次数。由此可以加快体绘制的成象,而对图像质量没有影响。与已有的快速插值方法相比,新方法更有效。     

虚切片方法改善Shear-Warp算法的图像失真

分析了Shear-Warp算法在实际绘制过程中出现的图像失真问题,提出了一种虚切片方法,通过在Shear-Warp算法基础上添加虚切片解决图像失真问题。实践表明,采用虚切片方法的Shear-Warp算法有效的解决了Shear-Warp算法的图像失真问题。     

基于视域剪裁的三维场景快速消隐算法

提出了一种基于视域剪裁的三维场景快速消隐算法。对于场景中每个物体,通过判断其最小闭包长方体是否和视域相交,以决定是否绘制此物体。在我们的算法中,视域被抽象成一个近似方锥。这种近似并不影响判断效果,而算法的逻辑得到了极大的简化,速度得到了很大提高。在每一次相交判断中,只需进行乘法和加法运算。因为此算法数据结构简单,可以和其他基于层次遮挡的消隐算法一起使用。由于算法逻辑简单,适合采用硬件实现。     

FINITE ELEMENT APPROXIMATION USING A GRADED MESH ON DOMAINS WITH REENTRANT CORNERS

Finite element approximation of the elliptic operator on a non-convexdomain composed of rectangles is considered using a graded mesh.Some errorestimates and error expansion are presented.     

INTERPOLATED FINITE ELEMENT METHODS FOR SECOND ORDER HYPERBOLIC EQUATIONS AND THEIR GLOBAL SUPERCONVERGENCE

We develop the interpolated finite element method to solve second-order hy-perbolic equations. The standard linear finite element solution is used to generate a newsolution by quadratic interpolation over adjacent elements. We prove that this interpo-lated finite element solution has superconvergence. This method can easily be applied togenerating more accurate gradient either locally or globally, depending on the applications.This method is also completely vectorizable and parallelizable to take the advantages ofmodern computer structures. Several numerical examples are presented to confirm ourtheoretical analysis.     

FINITE ELEMENT ERROR EXPANSIONS FOR THE EIGENVALUE APPROXIMATION TO THE MULTIGROUP DIFFUSION EQUATIONS

Asymptotic expansions for the finite element approximation to the eigenvalues of the mult-igroup diffusion equations on Ω(?)R~n(n=2,3)of reactor theory are given,firstly for a piecewiseuniform triangulation,then for nonuniform quadrilateral meshes,and finally for nonuniformhexahedral meshes.The effect of certain classes of numerical integrations is studied.As applicationsof the expansions,several extrapolation formulas and a posteriori error estimates are obtained.     

A MULTI－PARAMETER SPLITTING EXTRAPOLATION AND A PARALLEL ALGORITHM FOR PARABOLIC PROBLEM

ＡＭＵＬＴＩ－ＰＡＲＡＭＥＴＥＲＳＰＬＩＴＴＩＮＧＥＸＴＲＡＰＯＬＡＴＩＯＮＡＮＤＡＰＡＲＡＬＬＥＬＡＬＧＯＲＩＴＨＭＦＯＲＰＡＲＡＢＯＬＩＣＰＲＯＢＬＥＭＬＩＵＸｉａｏｑｉ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＸｉａｎｇｔａｎＴｅａｃｈ...     

AN EXTRAPOLATION METHODFOR FINITE ELEMENT APPROXIMATION OF INTEGRODIFFERENTIAL EQUATIONS WITH PARAMETERS

In this paper,we discuss the accelerating convergence method for finite elementapproximation of integro-differential equations with parameters.As applications,we give theerror estimates of finite element for the first kind of Fredholm integral equation,particularlyfor the Volterra integral equation with kernel condition k(x,x)=0.