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A physical perspective of the element‐based finite volume method and FEM‐Galerkin methods within the framework of the space of finite elements
Author(s) -
Filippini G.,
Maliska C. R.,
Vaz M.
Publication year - 2014
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.4618
Subject(s) - finite element method , discontinuous galerkin method , polygon mesh , finite volume method , perspective (graphical) , galerkin method , extended finite element method , smoothed finite element method , mixed finite element method , mathematics , space (punctuation) , computer science , control volume , mathematical optimization , boundary knot method , geometry , engineering , structural engineering , boundary element method , mechanics , physics , operating system
SUMMARY The literature shows an increasing number of works focused on investigating the behaviour of methods that uses concepts of control volumes in the solution of structural problems. In recent years, new approaches using unstructured meshes have been proposed, most of which addressing new applications and, to a lesser extent, the underling physical perspective. This paper presents a unified approach to the element‐based finite volume method and FEM‐Galerkin within the framework of the finite element space. Numerical examples highlight some accuracy issues associated with the element‐based finite volume method developed in this work. Copyright © 2014 John Wiley & Sons, Ltd.