Deals with a study which discussed the mechanical behaviour for subdivided periodic elastic structures of composite materials, from the viewpoint of macro- and meso-scale coupling. Multiscale asymptotic expansion and ...Deals with a study which discussed the mechanical behaviour for subdivided periodic elastic structures of composite materials, from the viewpoint of macro- and meso-scale coupling. Multiscale asymptotic expansion and truncation error estimates; Discussion on multiscale finite element method; Details of higher order difference quotients and total error estimates; Numerical experiments.展开更多
In this paper, we will discuss the asymptotic behaviour for a class of hyperbolic -parabolic type equation with highly oscillatory coefficients arising from the strong-transient heat and mass transfer problems of comp...In this paper, we will discuss the asymptotic behaviour for a class of hyperbolic -parabolic type equation with highly oscillatory coefficients arising from the strong-transient heat and mass transfer problems of composite media. A complete multiscale asymptotic expansion and its rigorous verification will be reported.展开更多
基金The Project Supported by National Natural Science Foundation of China (No.19801006)and SpecialFunds for Major State Basic Rese
文摘Deals with a study which discussed the mechanical behaviour for subdivided periodic elastic structures of composite materials, from the viewpoint of macro- and meso-scale coupling. Multiscale asymptotic expansion and truncation error estimates; Discussion on multiscale finite element method; Details of higher order difference quotients and total error estimates; Numerical experiments.
基金This work is Supported by National Natural Science Foundation of China ( No. 19801006) Special Funds for Major State Basic Research Projects ( No. G2000067102).
文摘In this paper, we will discuss the asymptotic behaviour for a class of hyperbolic -parabolic type equation with highly oscillatory coefficients arising from the strong-transient heat and mass transfer problems of composite media. A complete multiscale asymptotic expansion and its rigorous verification will be reported.
