By Piergiorgio Alotto, Fabio Freschi, Maurizio Repetto
This booklet provides a numerical scheme for the answer of box difficulties ruled via partial differential equations: the cellphone approach. The process lends itself evidently to the answer of multiphysics issues of numerous interacting phenomena. The phone technique, in response to a space-time tessellation, is in detail concerning the paintings of Tonti and to his principles of category diagrams or, as they're these days known as, Tonti diagrams: a graphical illustration of the problem's equations made attainable via an appropriate choice of a space-time framework bearing on actual variables to one another. the most positive aspects of the phone technique are offered and hyperlinks with many different discrete numerical equipment (finite integration strategies, finite distinction time area, finite volumes, mimetic finite modifications, etc.) are mentioned. After outlining the theoretical foundation of the strategy, a collection of actual difficulties which were solved with the telephone approach is defined. those unmarried and multiphysics difficulties stem from the authors' study adventure within the fields of electromagnetism, elasticity, thermo-elasticity and others. ultimately, the implementation of the numerical process is defined in all its major parts: space-time discretization, challenge formula, resolution and illustration of the ensuing actual fields.