The immersed boundary method is well-known,popular,and has had vast areas of applications due to its simplicity and robustness even though it is only first order accurate near the interface.In this paper,an immersed b...The immersed boundary method is well-known,popular,and has had vast areas of applications due to its simplicity and robustness even though it is only first order accurate near the interface.In this paper,an immersed boundary-augmented method has been developed for linear elliptic boundary value problems on arbitrary domains(exterior or interior)with a Dirichlet boundary condition.The new method inherits the simplicity,robustness,and first order convergence of the IB method but also provides asymptotic first order convergence of partial derivatives.Numerical examples are provided to confirm the analysis.展开更多
As the material foundation of agriculture modernization, the modernization level of agricultural equipment and technology is the significant signal of agricultural modernization, and the advancement of agricultural mo...As the material foundation of agriculture modernization, the modernization level of agricultural equipment and technology is the significant signal of agricultural modernization, and the advancement of agricultural modernization is the important content of building a well-off society in an all-around way. Upgrading key technology research ability and promoting agricultural mechanization and industry development not only can shorten the gap between agricultural development level in China and that in developed countries, but also can advance the modernization process of China.展开更多
文摘The immersed boundary method is well-known,popular,and has had vast areas of applications due to its simplicity and robustness even though it is only first order accurate near the interface.In this paper,an immersed boundary-augmented method has been developed for linear elliptic boundary value problems on arbitrary domains(exterior or interior)with a Dirichlet boundary condition.The new method inherits the simplicity,robustness,and first order convergence of the IB method but also provides asymptotic first order convergence of partial derivatives.Numerical examples are provided to confirm the analysis.
基金Supported by Subject on"leventh-five year"Plan in Jiangsu Province(C-A01/025)
文摘As the material foundation of agriculture modernization, the modernization level of agricultural equipment and technology is the significant signal of agricultural modernization, and the advancement of agricultural modernization is the important content of building a well-off society in an all-around way. Upgrading key technology research ability and promoting agricultural mechanization and industry development not only can shorten the gap between agricultural development level in China and that in developed countries, but also can advance the modernization process of China.
