Due to rapid development of boundary element method (BEM), this article explores the
evolution of BEM over the past half century. We here summarize the overall development …

In this paper the Analog Equation Method (AEM) a boundary-only method is presented for
solving nonlinear static and dynamic problems in continuum mechanics. General bodies are …

In this paper a solution to the problem of elastic space (initially non‐flat) membranes is
presented. A new formulation of the governing differential equations is presented in terms of …

In this paper, a new framework for the numerical solutions of general nonlinear problems is
presented. By employing the analog equation method, the actual problem governed by a …

The boundary element method (BEM) is developed for nonhomogeneous bodies. The static
or steady-state response of such bodies leads to boundary value problems for partial …

In this paper, the analog equation method (AEM) is applied to nonlinear analysis of
heterogeneous orthotropic membranes with arbitrary shape. In this case, the transverse …

Herein, we develop an analytical solution for the large deflection problem of rectangular
membranes, employing optimized polynomials as basis functions. Membranes, which are …

Boundary methods are known for their niajor advantage to restrict the discretization only to
the boundaryr of a body. Among them, the most repu-ted one is the boundary integral …

In this paper the analog equation method, a BEM-based method, is employed to analyze the
dynamic response of flat heterogeneous orthotropic membranes of arbitrary shape …

The design of reliable micro electro-mechanical systems (MEMS) requires understanding of
material properties of devices, especially for free-standing thin structures such as …