Using the method of undetermined coefficients, we construct a set of shape function spaces of nine-node triangular plate elements converging for any meshes, which generalize Spect's element and Veubeke's element.
Using the undetermined coefficient method, Holly-Preissmann scheme isimproved effectively. The scheme with the minus velocity is added, and a new conservative scheme isalso presented on the basis of original scheme. T...Using the undetermined coefficient method, Holly-Preissmann scheme isimproved effectively. The scheme with the minus velocity is added, and a new conservative scheme isalso presented on the basis of original scheme. The simulations of the new scheme accord with theexact result, which enhances its applicability in the engineering.展开更多
By using Mie’s theory,the boundary conditions,and some advanced mathematical knowledge,the scattering problem of a plane-wave by bi-sphere groups and of cores-traversed coherent Gauss-beams by one sphere was addresse...By using Mie’s theory,the boundary conditions,and some advanced mathematical knowledge,the scattering problem of a plane-wave by bi-sphere groups and of cores-traversed coherent Gauss-beams by one sphere was addressed.In each,the coefficients of the scattering-field expressions were deduced.Finally,the result was predigested and transfigured so that the available form for programming was achieved.On deducing,the former adopted the undetermined coefficient method and the latter used the plane geometry method.Moreover,the complexity of the calculation was decreased here.展开更多
This article begins with the calculating of the conservative density of Kdv equations. By an easy method of calculating the conservative density of a class of nonlinear evolutionary equations is then derived. The calc...This article begins with the calculating of the conservative density of Kdv equations. By an easy method of calculating the conservative density of a class of nonlinear evolutionary equations is then derived. The calculating of a lot of undetermined coefficients can be dealt with in batches, and it will enable us to operate by hand.展开更多
文摘Using the method of undetermined coefficients, we construct a set of shape function spaces of nine-node triangular plate elements converging for any meshes, which generalize Spect's element and Veubeke's element.
文摘Using the undetermined coefficient method, Holly-Preissmann scheme isimproved effectively. The scheme with the minus velocity is added, and a new conservative scheme isalso presented on the basis of original scheme. The simulations of the new scheme accord with theexact result, which enhances its applicability in the engineering.
基金This work was supported by the Hi-Tech Research and Development Program of China(No.2004AA604080)the National Natural Science Foundation of China(Grant No.60371020).
文摘By using Mie’s theory,the boundary conditions,and some advanced mathematical knowledge,the scattering problem of a plane-wave by bi-sphere groups and of cores-traversed coherent Gauss-beams by one sphere was addressed.In each,the coefficients of the scattering-field expressions were deduced.Finally,the result was predigested and transfigured so that the available form for programming was achieved.On deducing,the former adopted the undetermined coefficient method and the latter used the plane geometry method.Moreover,the complexity of the calculation was decreased here.
基金This work is supported by Natural Science Foundation of Shandong.
文摘This article begins with the calculating of the conservative density of Kdv equations. By an easy method of calculating the conservative density of a class of nonlinear evolutionary equations is then derived. The calculating of a lot of undetermined coefficients can be dealt with in batches, and it will enable us to operate by hand.
