Applying the systematic method about how to get the discrete counterparts of continuous system given by K. Wu et al., we define the discrete analogue of Ehresmann connections, Cartan connections, and affine connection...Applying the systematic method about how to get the discrete counterparts of continuous system given by K. Wu et al., we define the discrete analogue of Ehresmann connections, Cartan connections, and affine connections in the sense of Koszul and Levi-Civita, and prove some basic properties.展开更多
Numerical simulation of antennae is a topic in computational electromagnetism,which is concerned withthe numerical study of Maxwell equations.By discrete exterior calculus and the lattice gauge theory with coefficient...Numerical simulation of antennae is a topic in computational electromagnetism,which is concerned withthe numerical study of Maxwell equations.By discrete exterior calculus and the lattice gauge theory with coefficient R,we obtain the Bianchi identity on prism lattice.By defining an inner product of discrete differential forms,we derivethe source equation and continuity equation.Those equations compose the discrete Maxwell equations in vacuum caseon discrete manifold,which are implemented on Java development platform to simulate the Gaussian pulse radiation onantennaes.展开更多
基金National Natural Science Foundation of China under Grant No.10471143National Key Basic Research Project of China under Grant No.2004CB318001
文摘Applying the systematic method about how to get the discrete counterparts of continuous system given by K. Wu et al., we define the discrete analogue of Ehresmann connections, Cartan connections, and affine connections in the sense of Koszul and Levi-Civita, and prove some basic properties.
基金Supported by National Key Based Research Project of China under Grant No.2004CB318000National Natural Science Foundation of China under Grant No.10871170
文摘Numerical simulation of antennae is a topic in computational electromagnetism,which is concerned withthe numerical study of Maxwell equations.By discrete exterior calculus and the lattice gauge theory with coefficient R,we obtain the Bianchi identity on prism lattice.By defining an inner product of discrete differential forms,we derivethe source equation and continuity equation.Those equations compose the discrete Maxwell equations in vacuum caseon discrete manifold,which are implemented on Java development platform to simulate the Gaussian pulse radiation onantennaes.
