Hossein Hosseinzadeh

• PHD
• Persian Gulf University

In this paper boundary elements method (BEM) is equipped with finite difference approximation (FDA) to solve two-dimensional Navier-Stokes (N-S) equation. The N-S equation is converted to a system of ordinary differential equations (ODEs) respect to time in streamfunction-vorticity formulation. The constant direct BEM and 9-point stencil FDA are ut...

The uniqueness of solution of boundary integral equations (BIEs) is studied here when geometry of boundary and unknown functions are assumed piece-wise constant. In fact we will show BIEs with 3-times monotone radial kernels have unique piece-wise constant solution. In this paper non-negative radial function F δ 3 is introduced which has important...

This article is devoted to an extension of boundary elements method (BEM) for solving elliptic partial differential equations of general type with constant coefficients. As the fundamental solution of these equations was not available in the literature, BEM was not able to handle them, directly. So the dual reciprocity method (DRM) has been applied...

In this work a semi-analytical algorithm is presented to calculate the boundary integrals of higher order which appear in boundary elements method (BEM). In fact treating singularity and near singularity of the boundary integrals using complex space CC is the main aim of this paper. The integrals are computed for linear, quadratic, cubic and other...

In the current paper the boundary elements method (BEM) has been employed to solve linear Helmholtz and semi-linear Poisson׳s equations. In fact a new idea will be presented to solve linear Poisson׳s and Helmholtz equations with variable coefficient by the use of BEM. And after that two iterative schemes based on the fixed point theorem and Newton׳...

A numerical method is presented in this article to deal with the drawback of boundary elements method (BEM) at corner points. The use of continuous elements instead of the discontinuous ones has been recommended in the BEM literature widely because of the simplicity and accuracy. However the continuous elements lead to certain difficulties for prob...

In this article the constant and the continuous linear boundary elements methods (BEMs) are given to obtain the numerical solution of the coupled equations in velocity and induced magnetic field for the steady magneto-hydrodynamic (MHD) flow through a pipe of rectangular and circular sections having arbitrary conducting walls. In recent decades, th...

The solution of Poissons equation is essential in many branches of science and engineering such as fluid-mechanics, geosciences, and electrostatics. Solution of the two-dimensional Poissons equation is carried out by the boundary elements method (BEM) based on the dual reciprocity method (DRM) and the multiple reciprocity method (MRM). There are so...

The boundary element method (BEM) is a popular method to solve various problems in engineering and physics and has been used widely in the last two decades. In high-order discretization the boundary elements are interpolated with some polynomial functions. These polynomials are employed to provide higher degrees of continuity for the geometry of bo...