Fig. 2

Overlapping domain decompositions of a FSI problem—Top: At the fluid-structure interface \(\Gamma _\mathrm {FSI}\), the domain is partitioned into solid and fluid subdomains indicated by dashed lines. Each field can further be distributed among several processes by an overlapping domain decomposition indicated by the colored patches. Overlap of subdomains is not depicted for clarity of presentation. Bottom: In a decomposition based on a monolithic graph, subdomains span across the interface like ’proc 0’ and ’proc 2’. They are crucial for the effectiveness of the proposed preconditioner. Some processes might not own portions of both fields, e.g. ’proc 1’. Overlap of subdomains is not depicted for clarity of presentation