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Original Articles

A UNIFIED MODEL OF RADIALLY SYMMETRIC HEAT CONDUCTION

Pages 43-57 | Received 23 Apr 1984, Accepted 04 Feb 1985, Published online: 27 Feb 2007
 

Abstract

The nodal domain integration method is applied to a radially symmetric heat conduction problem where the solution domain is discretized into irregular radial finite elements, and the state variable is approximated by a spatial linear trial function within each finite element. The resulting finite-element model represents the well-known Galerkin finite-element, subdomain-integration, and an integrated finite-difference numerical statement as well as an infinity of other mass-lumped matrix schemes. From the NDI approach, the several numerical modeling techniques are unified into one global domain model where each submodel can be obtained by the specification of a single mass-lumping parameter.

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