Project supported by the National Natural Science Foundation of China (No. 12272323)。
Second-order axially moving systems are common models in the field of dynamics, such as axially moving strings, cables, and belts. In the traditional research work, it is difficult to obtain closed-form solutions for ...
supported by the National Natural Science Foundation of China(Nos.11072125 and11272175);the Natural Science Foundation of Jiangsu Province(No.SBK201140044);the Specialized Research Fund for Doctoral Program of Higher Education(No.20130002110044)
This paper reports the new progresses in the axiomatization of tensor anal- ysis, including the thought of axiomatization, the concept of generalized components, the axiom of covariant form invariability, the axiomati...
Project supported by the National Natural Science Foundation of China (No. 11072177)
The bending problem of a thin rectangular plate with in-plane variable stiffness is studied. The basic equation is formulated for the two-opposite-edge simply supported rectangular plate under the distributed loads. T...
supported by the National Natural Science Foundation of China (No. 11072141);the Shanghai Program for Innovative Research Team in Universities;the University Research Committee of the University of Hong Kong (No. 201007176059);the Outstanding Researcher Award from the University of Hong Kong
A standard conservation form is derived in this paper.The hyperbolicity of Helbing's fluid dynamic traffic flow model is proved,which is essential to the general analytical and numerical study of this model.On the ba...
Project supported by the National Natural Science Foundation of China(No.11074170);the State Key Laboratory Foundation of Shanghai Jiao Tong University(No.MSVMS201105)
This paper describes formulation and implementation of the fast multipole boundary element method (FMBEM) for 2D acoustic problems. The kernel function expansion theory is summarized, and four building blocks of the...
Some theorems of compactly supported non-tensor product form two-dimension Daubechies wavelet were analysed carefully. Compactly supported non-tensor product form two-dimension wavelet was constructed, then non-tensor...
The important notions and results of the integral invariants of Poincard and Cartan-Poincard and the relationship between integral invariant and invariant form established first by E. Cartan in the classical mechanics...
Residual based on a posteriori error estimates for conforming finite element solutions of incompressible Navier-Stokes equations with stream function form which were computed with seven recently proposed two-level met...
A class of nonlinear boundary value problems(BVP) for the second_order E 2 class elliptic systems in general form is discussed. By introducing a kind of transformation,this kind of BVP is reduced to a class of genera...
The two-grid finite element approximation to the stream function form of the stationary Navier-Stokes equations was analyzed. The algorithms involve solving one small, nonlinear coarse mesh system, one linear problem ...