Third order nodal finite element methods with transverse and reduced integration for elliptic problems
(2003) Applied Numerical Mathematics — Vol. 46, n° 2, p. 209-230 (2003)
Files
pdfdocument.pdf
Restricted Access - Adobe PDF
- 340.1 KB
Details
- Authors
- Abstract
- This paper describes a solution technique for multidimensional elliptic problems based on the use of some third order nodal finite elements and on a reduction of the basic (multidimensional) problem to a set of coupled one-dimensional problems. This solution technique, developed rather heuristically in the framework of nuclear reactor computations in conjunction with early nodal methods, gets on a much firmer ground when applied with nodal finite elements. The first part of the paper deals with the general context of variational nodal finite element methods. The so-called "Transverse and Reduced Integration Method" is then described in the second part of the paper. Its numerical properties are illustrated by some examples. (C) 2003 IMACS. Published by Elsevier B.V. All rights reserved.
- Affiliations
Citations
Hennart, JP., Mund, EH., & del Valle, E. (2003). Third order nodal finite element methods with transverse and reduced integration for elliptic problems. Applied Numerical Mathematics, 46(2), 209-230. https://doi.org/10.1016/S0168-9274(03)00024-2 (Original work published 2003)