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ARTICLE

# A Direct Discrete Formulation of Field Laws: The Cell Method

Enzo TONTI1

Author’s address: Department of Civil Engineering, University of Trieste, Piazzale Europa 1, 34127 Trieste, Italia. e-mail: tonti@univ.trieste.it

Computer Modeling in Engineering & Sciences 2001, 2(2), 237-258. https://doi.org/10.3970/cmes.2001.002.237

## Abstract

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 a differential formulation. It is proved that, for linear interpolation, the stiffness matrix so obtained coincides with the one of the Finite Element Method. For quadratic interpolation, however, the present stiffness matrix differs from that of FEM; moreover it is unsymmetric. It is shown that by using a parabolic interpolation, a convergence of the fourth order is obtained. This is greater than the one obtained with FEM, using the same interpolation.

APA Style
TONTI, E. (2001). A direct discrete formulation of field laws: the cell method. Computer Modeling in Engineering & Sciences, 2(2), 237-258. https://doi.org/10.3970/cmes.2001.002.237
Vancouver Style
TONTI E. A direct discrete formulation of field laws: the cell method. Comput Model Eng Sci. 2001;2(2):237-258 https://doi.org/10.3970/cmes.2001.002.237
IEEE Style
E. TONTI, "A Direct Discrete Formulation of Field Laws: The Cell Method," Comput. Model. Eng. Sci., vol. 2, no. 2, pp. 237-258. 2001. https://doi.org/10.3970/cmes.2001.002.237