Archivi del mese: Maggio 2021

Il metodo degli elementi finiti 4/4

Questo è l’articolo conclusivo di tutto il percorso che ha avuto come fulcro il metodo di approssimazione degli elementi finiti (da qui in poi FEM): un metodo numerico di risoluzione di problemi differenziali, siano essi alle derivate parziali o totali. Per recuperare gli articoli precedenti

Il teorema di proiezione

Quante volte si è fatto uso di un teorema che portasse questo nome? Sinceramente non le ricordo tutte. Un po’ come per il teorema spettrale, rappresenta uno strumento dalle svariate utilità. Non deve stupire, quindi, di re-incontrarlo anche nello studio di sistemi differenziali. Anzi, all’interno

A poet once said:"The whole Universe is in a glass of wine". We will probably never know in what sense he meant that, for poets do not write to be understood. But it is true that if we look at a glass of wine closely enough we see the entire Universe. There are the things of physics: the twisting liquid which evaporates depending on the wind and weather, the reflections in the glass, and our imagination adds the atoms. The glass is a distillation of the earth’s rocks, and in its composition we see the secrets of the universe’s age, and the evolution of stars.
What strange array of chemicals are in the wine? How did they come to be? There are the ferments, the enzymes, the substrates, and the products. There in wine is found the great generalization: all life is fermentation. Nobody can discover the chemistry of wine without discovering, as did Louis Pasteur, the cause of much disease. How vivid is the claret, pressing its existence into the consciousness that watches it!
If our small minds, for some convenience, divide this glass of wine, this universe, into parts: physics, biology, geology, astronomy, psychology, and so on. Remember that nature does not know it! So let us put it all back together, not forgetting ultimately what it is for. Let it give us one more final pleasure: drink it and forget it all!

Richard Philliph Feynman