Parallel sparse linear algebra and application to structural mechanics. (English) Zbl 0963.65034
The authors discuss the parallelization of a plasticity algorithm which is based on an implicit method and an incremental approach. Parallel sparse block factorization methods for solving the corresponding large systems of linear algebraic equations in each linearization step and the parallel assembly of the system matrices are discussed and analyzed. Especially, an algorithm which computes an efficient static scheduling of block computations for the parallel sparse factorization technique is proposed. The presented numerical experiments show a good scalability of the proposed algorithms.
Reviewer: Michael Jung (Dresden)
MSC:
65F05 | Direct numerical methods for linear systems and matrix inversion |
74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
34C05 | Topological structure of integral curves, singular points, limit cycles of ordinary differential equations |
65F50 | Computational methods for sparse matrices |
65Y05 | Parallel numerical computation |