We analyze three commonly used energy functions in solving Plateau-Mesh Prob- lem, that is, Dirichlet, area, and the discrete mean curvature（DMC）. They all possess unique advantages compared to others, but their dra...We analyze three commonly used energy functions in solving Plateau-Mesh Prob- lem, that is, Dirichlet, area, and the discrete mean curvature（DMC）. They all possess unique advantages compared to others, but their drawbacks restrict their usages individually. Our algo- rithm combines the three steps together to make full use of their features. At first the Dirichlet energy is optimized for faster approximation with better topology. Then the area energy is used to come close to the constrained domain. Finally the DMC energy is engaged to achieve a better converging step. Results show that our method can work under a rather noisy initial mesh, which is even topologically different from the final result.展开更多
Using discrete variational X. method within the local-density-functional theory and cluster models, the electronic structure and magnetic property or MnSh(Ce) are investigated.It is round that Sb5p state is much pola...Using discrete variational X. method within the local-density-functional theory and cluster models, the electronic structure and magnetic property or MnSh(Ce) are investigated.It is round that Sb5p state is much polarized by Ce doping.The spin moment of Sb changes from -0.06 V,in MnSh to -0.32μb, in MnSh(Ce).The interaction between Mn and doped Ce is small compared with that between Sb and Ce in MnSh(Ce).The influence to the magneto-optical Property of MnSh by the doped Ce is discussed. It is expected that the Sb-5p polarization caused by Ce will make MnSh(Ce)a promising magneto-optical material.展开更多
基金Supported by the National Natural Science Foundation of China(11371320)Zhejiang Natural Science Foundation(LZ14A010002)+1 种基金Foundation of Science and Technology Department of Zhejiang Province(2013C31084)Scientific Research Fund of Zhejiang Provincial Education Department(Y201431077 and Y201329420)
文摘We analyze three commonly used energy functions in solving Plateau-Mesh Prob- lem, that is, Dirichlet, area, and the discrete mean curvature（DMC）. They all possess unique advantages compared to others, but their drawbacks restrict their usages individually. Our algo- rithm combines the three steps together to make full use of their features. At first the Dirichlet energy is optimized for faster approximation with better topology. Then the area energy is used to come close to the constrained domain. Finally the DMC energy is engaged to achieve a better converging step. Results show that our method can work under a rather noisy initial mesh, which is even topologically different from the final result.
文摘Using discrete variational X. method within the local-density-functional theory and cluster models, the electronic structure and magnetic property or MnSh(Ce) are investigated.It is round that Sb5p state is much polarized by Ce doping.The spin moment of Sb changes from -0.06 V,in MnSh to -0.32μb, in MnSh(Ce).The interaction between Mn and doped Ce is small compared with that between Sb and Ce in MnSh(Ce).The influence to the magneto-optical Property of MnSh by the doped Ce is discussed. It is expected that the Sb-5p polarization caused by Ce will make MnSh(Ce)a promising magneto-optical material.
