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A gradient computational procedure for the solution of large problems arising from the finite element discretization method
Author(s) -
Fried Isaac
Publication year - 1970
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.1620020403
Subject(s) - finite element method , discretization , mathematics , mixed finite element method , inversion (geology) , realization (probability) , extended finite element method , computer science , mathematical optimization , algorithm , mathematical analysis , engineering , paleontology , statistics , structural engineering , structural basin , biology
A computational procedure based on gradient iterative techniques is proposed for the solution of large problems to which the finite element method is applicable. In linear problems the procedure can be used either for solving the set of algebraic equations or for the complete inversion of the matrix of coefficients. Special attention is focused on the practical aspects of the procedure concerning its realization on the digital computer.