WORK IN PROGRESS

The Kratos prvides a basic implementation of sparse linear algebra. The implementation is designed to ease FEM operations and to provide a similar interface both in the SMP and MPI case.

Construction and assembly of CSR Matrices (system matrices)

The library provides basic capabilities for the construction of CSR matrices by FEM assembly. A classical challenge for the construction of CSR matrices is that the graph of the matrix needs to be provided at once. The kratos implementation provides a “graph” object designed to allow the sparse insertion of items. CSR matrices can be constructing by providing such a graph.

SMP case

MPI case

Construction and assembly of Vectors (system vectors)

While the construction of Vectors ready for FEM assembly provides no difficulty in the SMP case, the effective use in a MPI context requires storing the communication patterns. The exact