This review article concerns a methodology for solving numerically, for engineering
purposes, boundary and initial-boundary value problems by a peculiar approach …

Mechanics is a branch of physics studying motion. The history of mechanics, as well as the
history of other branches of science, is a history of attempts to explain the world by means of …

Since I started working in the area of nonlinear programming and, later on, variational
inequality problems, I have frequently been surprised to find that many algorithms, however …

The adjoint method is a popular method used for seismic (full-waveform) inversion today.
The method is considered to give more realistic and detailed images of the interior of the …

Previous results of the author on the influence of size and boundary-conditions on the
apparent properties of elastic heterogeneous materials are recalled and extended to the …

It is shown that for every linear or nonlinear problem, whose solution exists and is unique,
one may find many functionals whose minimum is the solution of the problem. They are …

We analyze in full detail the geometric structure of the covariant phase space (CPS) of any
local field theory defined over a space-time with boundary. To this end, we introduce a new …

There exists NO classical variational principle for continuum dynamics so far. The well-
known Hamilton's principle is valid only for the conditions prescribed at the beginning and at …

We carry out an extensive investigation of conservation laws and potential symmetries for
the class of linear (1+ 1)-dimensional second-order parabolic equations. The group …

One presents numerous approaches for the construction of variational principles for
equations with operators which, in general, are nonpotential. One considers separately …