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The orthogonal projection method for the numerical solution of a field problem
Author(s) -
Rafalski P.
Publication year - 1973
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.1620060213
Subject(s) - hilbert space , projection (relational algebra) , orthographic projection , mathematics , field (mathematics) , projection method , exact solutions in general relativity , space (punctuation) , mathematical analysis , mathematical optimization , algorithm , geometry , computer science , pure mathematics , dykstra's projection algorithm , operating system
A numerical method, based on the orthogonal projection method of Hilbert space, is given. Two approximate solutions, which bound the exact solution from above and below, are described. The error of the approximate solution is calculated directly. An example of a calculation of temperature field in a nuclear reactor shell is presented.