Linear Algebra Aspects in the Equilibrium-Based Implementation of Finite/Boundary Element Methods for FGMs
Abstract
The paper briefly outlines the conventional and three variational implementations of the boundary element method, pointing out the conceptual imbrications of their constituent matrices. The nature of fundamental solutions is investigated in terms of the resulting matrix spectral properties, as applied to multiply-connected domains, reentering corners and FGMs.
- Publication:
-
Multiscale and Functionally Graded Materials 2006
- Pub Date:
- February 2008
- DOI:
- Bibcode:
- 2008AIPC..973..658D
- Keywords:
-
- 81.05.Qk;
- 02.70.Dh;
- 02.10.Ud;
- Reinforced polymers and polymer-based composites;
- Finite-element and Galerkin methods;
- Linear algebra