Open Access

ARTICLE

The Cell Method: an Enriched Description of Physics Starting from the Algebraic Formulation

E. Ferretti¹

1 DICAM – Department of Civil, Environmental and Materials Engineering, Scuola di Ingegneria eArchitettura, Alma Mater Studiorum, Università di Bologna, Viale Risorgimento 2, 40136 (BO), ITALY.

Computers, Materials & Continua 2013, 36(1), 49-72. https://doi.org/10.3970/cmc.2013.036.049

Abstract

In several recent papers studying the Cell Method (CM), which is a numerical method based on a truly algebraic formulation, it has been shown that numerical modeling in physics can be achieved even without starting from differential equations, by using a direct algebraic formulation. In the present paper, our focus will be above all on highlighting some of the theoretical features of this algebraic formulation to show that the CM is not simply a new numerical method among many others, but a powerful numerical instrument that can be used to avoid spurious solutions in computational physics.

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