With the aid of the properties of the hypersingular kernels, a geometric conversion approach was presented in this paper. The conversion leads to a general approach for the accurate and reliable numerical evaluation o...With the aid of the properties of the hypersingular kernels, a geometric conversion approach was presented in this paper. The conversion leads to a general approach for the accurate and reliable numerical evaluation of the hypersingular surface boundary integrals encountered in a variety of applications with boundary element method. Based on the conversion, the hypersingularity in the boundary integrals could be lowered by one order, resulting in the simplification of the computer code. Moreover, an integral transformation was introduced to damp out the nearly singular behavior of the kernels by the distance function defined in the local polar coordinate system for the nearly hypersingular case. The approach is simple to use, which can be inserted readily to computer code, thus getting rid of the dull routine deduction of formulae before the numerical implementations, as the expressions of these kernels are in general complicated. The numerical examples were given in three dimensional elasticity, verifying the effectiveness of the proposed approach, which makes it possible to observe numerically the behavior of the boundary integral values with hypersingular kernels across the boundary.展开更多
A general algorithm is applied to the regularization of nearly singular integrals in the boundary element method of planar potential problems. For linear elements, the strongly singular and hypersingular integrals of ...A general algorithm is applied to the regularization of nearly singular integrals in the boundary element method of planar potential problems. For linear elements, the strongly singular and hypersingular integrals of the interior points very close to boundary were categorized into two forms. The factor leading to the singularity was transformed out of the integral representations with integration by parts, so non-singular regularized formulas were presented for the two forms of integrals. Furthermore, quadratic elements are used in addition to linear ones. The quadratic element very close to the internal point can be divided into two linear ones, so that the algorithm is still valid. Numerical examples demonstrate the effectiveness and accuracy of this algorithm. Especially for problems with curved boundaries, the combination of quadratic elements and linear elements can give more accurate results.展开更多
Analytic continuation of some classical formulas with respect to a parameter is discussed. Examples are presented. The validity of these formulas is greatly expanded. Application of these results to solving some integ...Analytic continuation of some classical formulas with respect to a parameter is discussed. Examples are presented. The validity of these formulas is greatly expanded. Application of these results to solving some integral equations with hyper-singular kernels is given.展开更多
在6G通信系统中,随着天线规模的增大,菲涅尔区逐步扩展,现有的远场通信假设会引入严重的能量扩散,即角度域不再稀疏.近场通信利用球面波前进行建模,其信道模型与用户到达基站的角度和距离相关,在通信的同时可以估计角度和距离,实现通信...在6G通信系统中,随着天线规模的增大,菲涅尔区逐步扩展,现有的远场通信假设会引入严重的能量扩散,即角度域不再稀疏.近场通信利用球面波前进行建模,其信道模型与用户到达基站的角度和距离相关,在通信的同时可以估计角度和距离,实现通信感知一体化(Integrated Sensing And Communication,ISAC).本文针对近场环境下ISAC问题,提出了基于极坐标的近场模型,通过非均匀网格划分将ISAC转化为稀疏估计问题,进而提出基于稀疏贝叶斯学习模型和消息传递算法的ISAC算法,同时完成活跃用户检测、位置感知和通信.此外,所提算法采用差分调制,在通信和感知中无需利用导频,即可实现盲ISAC,有效提升通信系统的频谱效率.仿真结果表明,相对于均匀区域划分和文献现有方法,本文提出的ISAC算法可获得更高的感知精度和误码率性能.展开更多
目的系统评价护士经历的接近失误事件,为更好地开展相关管理工作提供参考依据。方法计算机检索PubMed、Cochrane Library、Web of Science、Embase、PsycInfo、Scopus、中国知网、万方数据库、维普数据库和中国生物医学文献数据库中关...目的系统评价护士经历的接近失误事件,为更好地开展相关管理工作提供参考依据。方法计算机检索PubMed、Cochrane Library、Web of Science、Embase、PsycInfo、Scopus、中国知网、万方数据库、维普数据库和中国生物医学文献数据库中关于护士经历接近失误事件的质性研究,检索时限为建库至2023年12月30日。采用2016年澳大利亚乔安娜布里格斯研究所(Joanna Briggs Institute,JBI)循证卫生保健中心质性研究质量评价工具对纳入的文献进行质量评价,采用Meta整合方法对结果进行整合。结果共纳入7篇文献,提炼26个研究结果,归纳6个类别,形成3个整合结果:接近失误事件发生的原因包括个人因素和组织因素;接近失误事件给护士带来了负性和正性双重情感体验;接近失误事件的应对方式。结论护理管理者应多关注接近失误事件给护士带来的负性情感体验,完善接近失误事件上报流程,建立无责备、非惩罚式管理制度,从而促进护士积极主动上报接近失误事件,保障患者安全。展开更多
文摘With the aid of the properties of the hypersingular kernels, a geometric conversion approach was presented in this paper. The conversion leads to a general approach for the accurate and reliable numerical evaluation of the hypersingular surface boundary integrals encountered in a variety of applications with boundary element method. Based on the conversion, the hypersingularity in the boundary integrals could be lowered by one order, resulting in the simplification of the computer code. Moreover, an integral transformation was introduced to damp out the nearly singular behavior of the kernels by the distance function defined in the local polar coordinate system for the nearly hypersingular case. The approach is simple to use, which can be inserted readily to computer code, thus getting rid of the dull routine deduction of formulae before the numerical implementations, as the expressions of these kernels are in general complicated. The numerical examples were given in three dimensional elasticity, verifying the effectiveness of the proposed approach, which makes it possible to observe numerically the behavior of the boundary integral values with hypersingular kernels across the boundary.
文摘A general algorithm is applied to the regularization of nearly singular integrals in the boundary element method of planar potential problems. For linear elements, the strongly singular and hypersingular integrals of the interior points very close to boundary were categorized into two forms. The factor leading to the singularity was transformed out of the integral representations with integration by parts, so non-singular regularized formulas were presented for the two forms of integrals. Furthermore, quadratic elements are used in addition to linear ones. The quadratic element very close to the internal point can be divided into two linear ones, so that the algorithm is still valid. Numerical examples demonstrate the effectiveness and accuracy of this algorithm. Especially for problems with curved boundaries, the combination of quadratic elements and linear elements can give more accurate results.
文摘Analytic continuation of some classical formulas with respect to a parameter is discussed. Examples are presented. The validity of these formulas is greatly expanded. Application of these results to solving some integral equations with hyper-singular kernels is given.
文摘在6G通信系统中,随着天线规模的增大,菲涅尔区逐步扩展,现有的远场通信假设会引入严重的能量扩散,即角度域不再稀疏.近场通信利用球面波前进行建模,其信道模型与用户到达基站的角度和距离相关,在通信的同时可以估计角度和距离,实现通信感知一体化(Integrated Sensing And Communication,ISAC).本文针对近场环境下ISAC问题,提出了基于极坐标的近场模型,通过非均匀网格划分将ISAC转化为稀疏估计问题,进而提出基于稀疏贝叶斯学习模型和消息传递算法的ISAC算法,同时完成活跃用户检测、位置感知和通信.此外,所提算法采用差分调制,在通信和感知中无需利用导频,即可实现盲ISAC,有效提升通信系统的频谱效率.仿真结果表明,相对于均匀区域划分和文献现有方法,本文提出的ISAC算法可获得更高的感知精度和误码率性能.
