This paper is concerned with a stabilized finite element method based on two local Gauss integrations for the two-dimensional non-stationary conductionconvection equations by using the lowest equal-order pairs of fin...This paper is concerned with a stabilized finite element method based on two local Gauss integrations for the two-dimensional non-stationary conductionconvection equations by using the lowest equal-order pairs of finite elements.This method only offsets the discrete pressure space by the residual of the simple and symmetry term at element level in order to circumvent the inf-sup condition.The stability of the discrete scheme is derived under some regularity assumptions.Optimal error estimates are obtained by applying the standard Galerkin techniques.Finally,the numerical illustrations agree completely with the theoretical expectations.展开更多
The application of a standard Galerkin finite element method for convection-diffusion problems leads to oscillations in the discrete solution, therefore stabilization seems to be necessary. We discuss several recent s...The application of a standard Galerkin finite element method for convection-diffusion problems leads to oscillations in the discrete solution, therefore stabilization seems to be necessary. We discuss several recent stabilization methods, especially its combination with a Galerkin method on layer-adapted meshes. Supercloseness results obtained allow an improvement of the discrete solution using recovery techniques.展开更多
With the aid of the spectnnn techique, a new concept named-α-stabilizability （0≤α≤1） is intnxhged and its suffident and necessary canditions are also prvposed. Especially, it is identical with the asymptotically...With the aid of the spectnnn techique, a new concept named-α-stabilizability （0≤α≤1） is intnxhged and its suffident and necessary canditions are also prvposed. Especially, it is identical with the asymptotically mean square stabilizability when α = 1. As an application, the suboptimal state feedback H2/H∞ controller that satisfies the additional Spectrum canstmint via solving a convex optimization problem is delt with.展开更多
Silica gel luminophor containing 1,10-phenanthroline complex with europium m-methylbenzoate, Eu(m-MBA) 3phen·H 2O was prepared by a sol-gel method. The the- rmal decomposition, excitation and emission spectra of ...Silica gel luminophor containing 1,10-phenanthroline complex with europium m-methylbenzoate, Eu(m-MBA) 3phen·H 2O was prepared by a sol-gel method. The the- rmal decomposition, excitation and emission spectra of the gel phosphor were measured and compared with that of the solid complex powder. The thermal st ability of the complex was found enhanced in SiO 2 host matrix and the luminescence intensity remained unchanged.展开更多
基金the NSF of China(No.10971166)the National High Technology Research and Development Program of China(863 Program,No.2009AA01A135).
文摘This paper is concerned with a stabilized finite element method based on two local Gauss integrations for the two-dimensional non-stationary conductionconvection equations by using the lowest equal-order pairs of finite elements.This method only offsets the discrete pressure space by the residual of the simple and symmetry term at element level in order to circumvent the inf-sup condition.The stability of the discrete scheme is derived under some regularity assumptions.Optimal error estimates are obtained by applying the standard Galerkin techniques.Finally,the numerical illustrations agree completely with the theoretical expectations.
文摘The application of a standard Galerkin finite element method for convection-diffusion problems leads to oscillations in the discrete solution, therefore stabilization seems to be necessary. We discuss several recent stabilization methods, especially its combination with a Galerkin method on layer-adapted meshes. Supercloseness results obtained allow an improvement of the discrete solution using recovery techniques.
基金supported by the research project of “SDUST Spring Bud”(Grant No.2008AZZ090)the National Natural Science Foundation of China(Grant No.60874032)
文摘With the aid of the spectnnn techique, a new concept named-α-stabilizability （0≤α≤1） is intnxhged and its suffident and necessary canditions are also prvposed. Especially, it is identical with the asymptotically mean square stabilizability when α = 1. As an application, the suboptimal state feedback H2/H∞ controller that satisfies the additional Spectrum canstmint via solving a convex optimization problem is delt with.
文摘Silica gel luminophor containing 1,10-phenanthroline complex with europium m-methylbenzoate, Eu(m-MBA) 3phen·H 2O was prepared by a sol-gel method. The the- rmal decomposition, excitation and emission spectra of the gel phosphor were measured and compared with that of the solid complex powder. The thermal st ability of the complex was found enhanced in SiO 2 host matrix and the luminescence intensity remained unchanged.
