The cell method, similar to the finite integration technique, is a well-established numerical method for the solution of field problems; however, an often raised criticism is that it is limited to constant fields within elements. In this paper, we show that for the case of Poisson's equation, the cell method can be extended to the second-order convergence. Numerical results showing the order of convergence of the method are presented.
A Second-Order Cell Method for Poisson's Equation
ALOTTO, PIERGIORGIO;
2011
Abstract
The cell method, similar to the finite integration technique, is a well-established numerical method for the solution of field problems; however, an often raised criticism is that it is limited to constant fields within elements. In this paper, we show that for the case of Poisson's equation, the cell method can be extended to the second-order convergence. Numerical results showing the order of convergence of the method are presented.File in questo prodotto:
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