运用迭代技巧考虑了带积分边界条件的三阶边值问题:{u'''(t)+f(t,u(t),u′(t))=0,t∈[0,1],u(0)=0,u′(0)=integral(g(t)u′(t)dt,u″(1)=0) from 1 to 0不仅获得了其单调正解的存在性,而且迭代列的初值是简单的零函数或一...运用迭代技巧考虑了带积分边界条件的三阶边值问题:{u'''(t)+f(t,u(t),u′(t))=0,t∈[0,1],u(0)=0,u′(0)=integral(g(t)u′(t)dt,u″(1)=0) from 1 to 0不仅获得了其单调正解的存在性,而且迭代列的初值是简单的零函数或一次函数.展开更多
This paper introduces the research work on the extension of multilevel fast multipole algorithm （MLFMA） to 3D complex structures including coating object, thin dielectric sheet, composite dielectric and conductor, c...This paper introduces the research work on the extension of multilevel fast multipole algorithm （MLFMA） to 3D complex structures including coating object, thin dielectric sheet, composite dielectric and conductor, cavity. The impedance boundary condition is used for scattering from the object coated by thin lossy material. Instead of volume integral equation, surface integral equation is applied in case of thin dielectric sheet through resistive sheet boundary condition. To realize the fast computation of scattering from composite homogeneous dielectric and conductor, the surface integral equation based on equivalence principle is used. Compared with the traditional volume integral equation, the surface integral equation reduces greatly the number of unknowns. To computc conducting cavity with electrically large aperture, an electric field integral equation is applied. Some numerical results are given to demonstrate the validity and accuracy of the present methods.展开更多
文摘运用迭代技巧考虑了带积分边界条件的三阶边值问题:{u'''(t)+f(t,u(t),u′(t))=0,t∈[0,1],u(0)=0,u′(0)=integral(g(t)u′(t)dt,u″(1)=0) from 1 to 0不仅获得了其单调正解的存在性,而且迭代列的初值是简单的零函数或一次函数.
基金the National Natural Science Foundation of China (60431010, 60601008)New Century 0Excellent Talent Support Plan of China (NCET-05-0805)+3 种基金the International Joint Research Project(607048)in part by the "973" Programs(61360, 2008CB317110)Research Founding (9110A03010708DZ0235)Young Doctor Discipline Platform of UESTC
文摘This paper introduces the research work on the extension of multilevel fast multipole algorithm （MLFMA） to 3D complex structures including coating object, thin dielectric sheet, composite dielectric and conductor, cavity. The impedance boundary condition is used for scattering from the object coated by thin lossy material. Instead of volume integral equation, surface integral equation is applied in case of thin dielectric sheet through resistive sheet boundary condition. To realize the fast computation of scattering from composite homogeneous dielectric and conductor, the surface integral equation based on equivalence principle is used. Compared with the traditional volume integral equation, the surface integral equation reduces greatly the number of unknowns. To computc conducting cavity with electrically large aperture, an electric field integral equation is applied. Some numerical results are given to demonstrate the validity and accuracy of the present methods.
