A Comparison Between FEM and FVM via the Method of Weighted Residuals
Document Type
Book Section
Publication Date
3-10-2020
Publication Title
50 Years of CFD in Engineering Sciences
Publisher
Springer
First page number:
753
Last page number:
777
Abstract
The Method of Weighted Residuals (MWR) is used to compare the finite element method (FEM) with the finite volume method (FVM) through nodal recursion relations. Both methods reside under the general MWR structure, with the underlying switch between the two methods established through the weighting function. Both methods yield comparable spatial accuracy for steady-state conditions. However, the flexibility of the FEM permits additional options that can increase accuracy, but generally at the expense of additional time and resource constraints.
Keywords
Finite element method; Finite volume method; Recursion relation
Disciplines
Engineering | Engineering Science and Materials
Language
English
Repository Citation
Pepper, D. W.,
Pirbastami, S.,
Carrington, D. B.
(2020).
A Comparison Between FEM and FVM via the Method of Weighted Residuals.
50 Years of CFD in Engineering Sciences
753-777.
Springer.
http://dx.doi.org/10.1007/978-981-15-2670-1