Since the introduction of the hybrid boundary element method in 1987, it has been applied to various problems of elasticity and potential theory, including time-dependent problems. This paper focuses on establishing the conceptual framework for applying both the variational formulation and a simplified version of the hybrid boundary element method to nonhomogeneous materials. Several classes of fundamental solutions for problems of potential are derived. Thus, the boundary-only feature of the method is preserved even with a spatially varying material property. Several numerical examples are given in terms of an efficient patch test including irregularly bounded, unbounded, and multiply connected regions submitted to high gradients.
|Original language||English (US)|
|Number of pages||29|
|Journal||International Journal of Computational Engineering Science|
|State||Published - Dec 1 2004|
ASJC Scopus subject areas
- Computational Theory and Mathematics
- Computational Mathematics