Advanced Materials Research Vols. 557-559

Abstract: This paper discusses the finite element approximation for a Steklov eigenvalue problem. Based on the work of Armentano and Padra ( Appl Numer Math 58 (2008) 593-601), an a posteriori error estimator is provided and its validity and reliability are proved theoretically. Finally, numerical experiments with Matlab program are carried out to confirm the theoretical analysis.

Abstract: On the basis of Yang and Bi’s work (SIAM J Numer Anal 49, p.1602-1624), this paper discusses a discretization scheme for a sort of Steklov eigenvalue problem and proves the high effiency of the scheme. With the scheme, the solution of an eigenvalue problem on a fine grid is reduced to the solution of an eigenvalue problem on a much coarser grid and the solution of a linear algebraic system on the fine grid. And the resulting solution can maintain an asymptotically optimal accuracy. Finally, the numerical results are provided to support the theoretical analysis..

Abstract: Let erf(x) be error function. Inspired by the inequality due to Alzer (2010), this paper obtain two optimal inequalities for the convex combination of error function.

Abstract: According to the principle of trademark weave and color collocation, weft backed gradual weave-database has been designed, which is applicable to trademark production. A series of color items have been constructed which consisted of red, yellow, blue, green and black five basic color’s combination and collocation in the light of three kinds of color development. And combined with the color expression of weft backed gradual weave-database, the chromatography of color simulated trademark has been set up.

Abstract: In this paper, we consider oscillation of solutions of the differential equations with variable coefficients on time scales, and obtain some sufficient conditions for oscillation of solutions.

Abstract: In this paper,we consider the oscillation of second order linear dynamic equation on time scales, and obtain sufficient condition for oscillation of solutions.

Abstract: 3-D heat transfer behaviors in two types of concrete perforated bricks used in external walls were numerically simulated. Air density was modeled both with Boussinesq assumption and ideal gas model, and air thermal properties were calculated alternatively with constant and polynomial parameters. Results of four different inputs shown us that there had little difference between them and they agreed well with Guard hot box tests. The effective conductivity of bricks decreased with increase of the air interlayer thickness at first and then increased as it continued to increase, which meant that thickness of the air interlayer was crucial to insulation effect of bricks. This was because of the cooperation of the conduction and natural convection. Under the same condition, effective conductivity is proportional to concrete conductivity.

Abstract: The frame of a type of 4MPa vertical high pressure grouting machine was taken as the research objec. The three-dimensional solid models of main parts of the frame were established by using Pro/E software and transmitted to ANSYS software via IGES format. The distributions of stress, strain and displacement were investigated under the maximum load, and based on this calculation, the improved method of structure design has been presented and the results provide the theoretical basiss for the structural improvement. The analysis results can provide a reference for design of the frame pares, and have some general engineering and practical value.

Abstract: In this paper, we defined a new integral operator and studied the isometric properties on the Bloch space in the disk. we gave a necessary and sufficient condition about it.

Abstract: Based on the practical operation of diesel engine fault and a lot of professional experience and knowledge, an improved gray target engine fault diagnosis model was proposed. The ault sign standard model structure was built by Fault-to-date statistical data and professional experience and knowledge,and multi-target heart Failure was constructed. The causes of a diesel engine was diagnosed through the fault symptoms and the cause of the malfunction bull's-eye from all sort and its practicability and validity have been indicated by its result.