the accuracy and efficiency of the elements proposed by finite element method (fem) considerably depend on the interpolating functions namely shape functions used to formulate the displacement field within the element. in the present study, novel functions, namely basic displacements functions (bdfs), are introduced and exploited for structural analysis of nanobeams using finite element method ...

The main objective of this primer is to make the boundary element method more usable, not only among researchers but among engineers as well. This primer will provide a series of lessons and will discuss different mathematical and numerical topics of boundary element methods. In the current lesson, we will discuss: 1An introduction and overview of the boundary element method. 2Program testing m...

Homotopy perturbation method HPM and boundary element method BEM for calculating the exact and numerical solutions of Poisson equation with appropriate boundary and initial conditions are presented. Exact solutions of electrostatic potential problems defined by Poisson equation are found using HPM given boundary and initial conditions. The same problems are also solved using the BEM. The cell i...

The dual-reciprocity boundary element method is applied for the numerical solution of a class of two-dimensional initial-boundary value problems governed by a non-linear system of partial differential equations. The system, known as the reaction-diffusion Brusselator, arises in the modeling of certain chemical reaction-diffusion processes. Numerical results are presented for some specific probl...

The need for numerical methods in studying electromagnetic scattering from rough surfaces is well established. The most commonly used numerical method is the surface integral equation method and its solution by the method of moments (MoM). Conventional implementation of MoM requires O(N^3) operations, where N is the number of surface unknowns. When N is large, as frequently encountered in study...

A good agreement is obtained between experiment and hybrid calculation. Due to structural modelling inaccuracies, the full numerical prediction shows some deviations. However, it appears that a simple BEM model is capable of predicting the general acoustic behaviour of a complex vibrating structure. A sound reduction, specifically in the high frequency range, is obtained with a viscoelastic bea...

A comparison between two theoretical methods, recently adopted for evaluating induced currents in a human body, is here presented. In both cases, a vertical ELF electric field is assumed for the coupling to a standard human subject. Specifically, the diakoptic method (DM), applied to a homogeneous multi-sphere model of man with low partitioning degree, and the Boundary Element Method (BEM), app...