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.
Original language | English |
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Pages (from-to) | 209-230 |
Number of pages | 22 |
Journal | Applied Numerical Mathematics |
Volume | 46 |
Issue number | 2 |
DOIs | |
State | Published - Aug 2003 |
Keywords
- Diffusion processes
- High order schemes
- Nodal methods
- Variational methods