FEM and BEM parallel processing: theory and applications – a bibliography (1996‐2002)

Abstract

This paper gives a bibliographical review of the finite element and boundary element parallel processing techniques from the theoretical and application points of view. Topics include: theory – domain decomposition/partitioning, load balancing, parallel solvers/algorithms, parallel mesh generation, adaptive methods, and visualization/graphics; applications – structural mechanics problems, dynamic problems, material/geometrical non‐linear problems, contact problems, fracture mechanics, field problems, coupled problems, sensitivity and optimization, and other problems; hardware and software environments – hardware environments, programming techniques, and software development and presentations. The bibliography at the end of this paper contains 850 references to papers, conference proceedings and theses/dissertations dealing with presented subjects that were published between 1996 and 2002.

Bifurcation and Deviation of Cleavage Paths at Through-Thickness Grain Boundaries

“…Second, near a free surface, the local stress intensity at the crack tip tends to be lower. [25] For instance, for a cleavage front propagating along a crystallographic plane, the sections close to free surfaces are always behind the central part. [26] If the incident angle is relatively small, as shown in Figure 4, the cleavage path may bifurcate, which is observed at about one-half of the grain boundaries that do not fail in the regular mode discussed previously.…”

A direct electrifying algorithm for backbone identification

“…The implementation is fairly straightforward and the know-how accumulated in the studies of the FEM is readily transferable. For example, the parallel implementation of the FEM has been explored for decades and many effective algorithms have been successfully developed [28]. Thus, researchers interested in the algorithm proposed in this paper can readily take the advantage of parallel computing for FEM.…”