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Difference schemes or element schemes?
Author(s) -
Cushman John H.
Publication year - 1979
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.1620141106
Subject(s) - finite element method , element (criminal law) , mathematics , galerkin method , calculus (dental) , mathematical analysis , structural engineering , engineering , political science , medicine , dentistry , law
Several examples are presented to illustrate how standard finite differnce schemes for the wave eqation (e.g. Lax–Wendroff, Leafrog, etc.) can be developed from finite element analysis. The development of the diffrence schemes from the element schemes is made possible by using Galerkin's method on both the spacial and temporal dimensions.