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An error‐based approach to complementary formulations of static field solutions
Author(s) -
Rikabi J.,
Bryant C. F.,
Freeman E. M.
Publication year - 1988
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620260906
Subject(s) - minification , mathematics , field (mathematics) , dual (grammatical number) , electromagnetic field , error analysis , mathematical optimization , pure mathematics , physics , art , literature , quantum mechanics
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.