Multilevel mesh partitioning for optimising domain shape

Multilevel algorithms are a successful class of optimisation techniques which address the mesh partitioning problem for mapping meshes onto parallel computers. They usually combine a graph contraction algorithm together with a local optimisation method which refines the partition at each graph level. To date these algorithms have been used almost exclusively to minimise the cut-edge weight in the graph with the aim of minimising the parallel communication overhead. However it has been shown that for certain classes of problem, the convergence of the underlying solution algorithm is strongly influenced by the shape or aspect ratio of the subdomains. In this paper therefore, we modify the multilevel algorithms in order to optimise a cost function based on aspect ratio. Several variants of the algorithms are tested and shown to provide excellent results.

Validity of shape memory NiTi colon ring BioDynamix ColonRing™ (or NiTi CAR 27™) to prevent anastomotic colorectal strictures. Preliminary results

Purpose. Anastomotic strictures occur in 3-30% of colorectal anastomosis and one of the main causes may be a reaction to the presence of the metal staples used for suturing. The aim of this study was to evaluate the efficacy of a compression anastomosis ring using the memoryshaped device in initial, i.e. nickel-titanium alloy (NiTi) for the prevention of colorectal anastomotic strictures. Patients and methods. A compression anastomosis ring device (NiTi CAR 27™) was used to perform compression anastomosis in 20 patients underwent left hemicolectomy and anterior resection of the rectum for carcinoma. An endoscopic check of the anastomosis was carried out at one month and at six months after surgery. Results. In 2 patients (10%) a dehiscence of the anastomosis occurred on the fifth and the eighth postoperative day. No anastomotic strictures were observed in any of the other 18 patients at six months follow-up after surgery. Conclusion. Our preliminary results suggest that the use of a compression anastomosis ring might well be a valid method of preventing anastomotic strictures in colorectal surgery. Further studies involving a larger number of patients are needed in order to confirm these preliminary results.