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A least squares finite element approach to unsteady gas dynamics
Author(s) -
Polk John F.,
Lynn Paul P.
Publication year - 1978
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.1620120102
Subject(s) - finite element method , interpolation (computer graphics) , quadratic equation , mathematics , least squares function approximation , mixed finite element method , space (punctuation) , extended finite element method , element (criminal law) , smoothed finite element method , mathematical analysis , mathematical optimization , computer science , boundary knot method , geometry , engineering , structural engineering , boundary element method , motion (physics) , statistics , estimator , law , political science , artificial intelligence , operating system
A numerical technique for solving unsteady gas dynamic equations is presented. The technique is based on least squares finite element concepts with elements that are constructed in both space and time. Both linear and quadratic interpolation is used on individual elements. The technique is tested against a problem whose solution is known so that numerical accuracy can be ascertained.