WIT Press


Local And Global Error Estimates For Three-dimensional Heat Conduction Problems

Price

Free (open access)

Paper DOI

10.2495/BT030311

Volume

34

Pages

10

Published

2003

Size

433 kb

Author(s)

J. J. Rencis & R.A. Kirk

Abstract

Local and global error estimates for threedimensional heat conduction problems J. J. Rencis & R.A. Kirk Mechanical Engineering Department Worcester Polytechnic Institute, Worcester, MA, USA Abstract An n posteriori error estimation scheme is formulated and implemented for threedirncnsional, steady-state, heat conduction problems using constant boundary elements. Predicted element L, boundary error norms for temperature and flux are calculated from least squares smoothing of the initial discontinuous boundary element solution. The global predicted error norm is calculated by summing predicted element L, error norms. Global predicted relative percentage error is used to measure the accuracy of a boundary element solution and is calculated from the global predicated L2 error norm. Two example problems are considered and the accuracy of the error estimates is compared with a fine boundary element mesh of quadratic elements. 1. Introduction The numerical solution of the boundary element equations p

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