The frequency-domain fast boundary element method (BEM) combined with the exponential window technique leads to an efficient yet simple method for elastodynamic analysis. In this paper, the efficiency of this method is further enhanced by three strategies. Firstly, we propose to use exponential window with large damping parameter to improve the conditioning of the BEM matrices. Secondly, the fr...

To eliminate the problem with artificial boundary conditions and facilitate the use of Fourier methods, the fringe region (or filter, damping layer, absorbing layer, sponge layer) technique has been used in direct simulations of transitional and turbulent boundary layers. Despite the fact that good computational results have been obtained with this technique, it is not fully understood. The ana...

Mohammed Abu-Hilal Department of Mechanical and Industrial Engineering, Applied Science Private University Amman 11931 JORDAN Received: 04/01/2006 Accepted: 03/04/2006 Abu-Hilal , Mohammed 2007 Amplification Factors of Beams with General Boundary Conditions Due to a Moving Constant Load J. J. Appl. Sci Abstract: In this paper the amplification factors of an Euler-Bernoulli beam with different b...

In this paper, we consider the three-dimensional rotating Boussinesq equations (the “primitive” of geophysical fluid flows). Inspired by Christodoulou and Lindblad (Pure Appl Math 53:1536–1602, 2000), establish a priori estimates Sobolev norms for free boundary problem inviscid under Taylor-type sign condition on initial boundary. Using same method, can also obtain incompressible MHD system wit...

In this work, we consider the wave equation with internal source and boundary damping terms. First, use stable set method to prove existence of global solution. Then, some integral inequalities stability