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Minimizing Computations Required to Fill a Matrix Describing Relation Ships Between Cells on the Faces of a Rectangular Bar

IP.com Disclosure Number: IPCOM000043785D
Original Publication Date: 1984-Sep-01
Included in the Prior Art Database: 2005-Feb-05

Publishing Venue

IBM

Related People

Authors:
Weeks, WT Young, HW [+details]

Abstract

This article discloses an alternative method for calculating the potential coefficients required to fill a potential coefficient matrix, as employed in the calculation of the capacitance of a rectangular bar. The disclosed solution to this problem reduces the computation time required to fill the coefficient matrix by one third to one half over the usual approaches employed in the literature. Typically, this involves dividing the faces of the bar into grids of rectangular cells, letting Qi be the charge on the i-th cell, and solving the system of equations shown in the equation below for the Qi, given the values of (Image Omitted) Vi . Before this can be done, however, the potential coefficients, Pij, must be calculated.