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Finite difference energy techniques for arbitrary meshes applied to linear plate problems
Author(s) -
Pavlin V.,
Perrone N.
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.1620140503
Subject(s) - polygon mesh , finite element method , finite difference method , finite difference , mathematics , partial differential equation , finite difference coefficient , set (abstract data type) , energy (signal processing) , mathematical analysis , mathematical optimization , mixed finite element method , computer science , geometry , structural engineering , engineering , statistics , programming language
A new energy based finite difference analytical technique is introduced. The method incorporates certain energy concepts and the ability to use arbitrary, irregular meshes within the framework of the Finite Difference Method. This formulation reduces any governing partial differential equations to a set of difference equations containing partial derivatives up to and including the second order. Further, certain strong similarities with the popular Finite Element Method are shown and the ability to solve problems with irregular boundaries is discussed. To demonstrate the Finite Difference Energy Method several plate bending problems are solved.