In [10,11], PELCR has been introduced as an implementation derived from the Geometry of Interaction in order to perform virtual reduction on parallel/distributed computing systems. In this paper we provide an extension of PELCR with computational effects based on directed virtual reduction [2], namely a restriction of virtual reduction [3], which is a particular way to compute the Geometry of I...

Pyramid networks have long been proposed for parallel processing. However, when the network contains multiple pairs of source and destination nodes, it is often difficult to use the pyramid efficiently since most of the algorithms try to simultaneously use the apex for each pair of nodes. Therefore, there may exist a severe bottleneck in such circumstances. We propose a Least Level Minimal Rout...

We present a unified general method for the asymptotic study of graphs from the so-called “subcritical” graph classes, which include the classes of cacti graphs, outerplanar graphs, and series-parallel graphs. This general method works both in the labelled and unlabelled framework. The main results concern the asymptotic enumeration and the limit laws of properties of random graphs chosen from ...

Calculations can naturally be described as graphs in which vertices represent computation and edges reeect data dependencies. By partitioning the vertices of a graph, the calculation can be divided among processors of a parallel computer. However, the standard methodology for graph partitioning minimizes the wrong metric and lacks expressibility. We survey several recently proposed alternatives...

A parallel line clipping algorithm and its implementation on a parallel clipping hardware environment are presented. We first develop a simple theory to show that parallel clipping is possible for all types of line segments. We then present the architecture of a hardware environment based on which parallel clipping is to be implemented. The parallel line clipping algorithm and its implementatio...

This article presents the results of a numerical study, using computational fluid dynamics (CFD) analysis to investigate the species distribution of proton exchange membrane fuel cells (PEMFCs) with deflected membrane electrode assembly (MEA). These new geometry were examined while employing three-dimensional, single phase, non-isothermal and parallel flow for model of a PEM fuel cell. This num...

We present a distributed parallel mesh curving method for virtual geometry. The main application is to generate large-scale curved meshes on complex geometry suitable analysis with unstructured high-order methods. Accordingly, we devise the technique geometrically accurate composed of high-quality elements. To this end, advocate degree continuation penalty-based second-order optimizer that uses...