An error‐based approach to complementary formulations of static field solutions

1 September 1988

journal article
research article
Published by Wiley in International Journal for Numerical Methods in Engineering

Vol. 26 (9) , 1963-1987
https://doi.org/10.1002/nme.1620260906

Abstract

The constitutive relationship between fields in electromagnetic media is cast in error form. For well‐posed static problems, the error splits systematically into complementary functionals. Error minimization provides a universal variational principle that generates complementary and dual solution formulations. The error, which is wholly attributed to the numerical constraints in approximate solutions, is always defined and computable locally and globally.

Keywords

This publication has 3 references indexed in Scilit:

Error-based derivation of complementary formulations for the eddy-current problem
IEE Proceedings A Physical Science, Measurement and Instrumentation, Management and Education, Reviews, 1988
On the use of the total scalar potential on the numerical solution of fields problems in electromagnetics
International Journal for Numerical Methods in Engineering, 1979
Calculation of inductance and capacitance by means of dual energy principles
Proceedings of the Institution of Electrical Engineers, 1976