We present a new numerical method for the solution of field equations. The essence of the
method is to directly provide a discrete formulation of field laws, without using and requiring …

Why do we have analogies in physics? This question has been the leitmotif of the author's
research for about half a century. Six physical theories are considered: particle mechanics …

The numerical modeling of mechanical waves is currently a fundamental tool for the study
and investigation of their propagation in media with heterogeneous physical properties …

The aim of this paper is to present a methodology for solving the plane elasticity problem
using the Cell Method. It is shown that with the use of a parabolic interpolation in a vectorial …

The theory of elasticity is usually formulated using differential calculus. We will show that it is
possible to give an algebraic or discrete or finite formulation, by starting directly from …

In this study, the problem of finding the complete trajectory of propagation and the limiting
load in plates with internal straight cracks is extended to the non-linear field. In particular …

In this study, the Cell Method (CM) is applied in order to investigate the failure mechanisms
of masonry walls under shear force. The direction of propagation is computed step-wise by …

A direct discrete formulation suitable for the nonlinear analysis of masonry structures is
presented. The numerical approach requires a pair of dual meshes, one for describing …

The Cell Method (CM) is a computational tool that maintains critical multidimensional
attributes of physical phenomena in analysis. This information is neglected in the differential …

Abstract Finite Element, Boundary Element, Finite Volume, and Finite Difference Analysis
are all commonly used in nearly all engineering disciplines to simplify complex problems of …