This survey paper describes recent developments in the area of parametrized variational
principles (PVPs) and selected applications to finite-element computational mechanics. A …

This is a textbook written for use in a graduate-level course for students of mechanics and
engineering science. It is designed to cover the essential features of modern variational …

Two variational formulations of the three‐dimensional eddy‐current problem are discussed
and compared. One is based on the use of h (the magnetic field) and the associated …

Compatible discretizations transform partial differential equations to discrete algebraic
problems that mimic fundamental properties of the continuum equations. We provide a …

Motivated by practical problems in engineering and physics, drawing on a wide range of
applied mathematical disciplines, this book is the first to provide, within a unified framework …

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 objective of this paper is to present an approach to electromagnetic field simulation
based on the systematic use of the global (ie integral) quantities. In this approach, the …

We show that the equations of electromagnetism can be directly obtained in a finite form, ie,
discrete, thus avoiding the traditional discretization methods of Maxwell's differential …

An investigation on the reason for analogies between physical theories is carried out. The
reason is found in the fact that in every physical theory there are basic physical quantities …