Cluster-based data-parallel frameworks such as MapReduce, Hadoop, and Dryad are increasingly popular for a large class of compute-intensive tasks. Such systems are designed for large-scale clusters, and employ several techniques to decrease the run time of jobs in the presence of failures, slow machines, and other effects. In this paper, we apply Dryad to smaller-scale, “ad-hoc” clusters such as those formed by aggregating the servers and ...

We consider the tensorized operator for the Maxwell cavity source problem in frequency domain. We establish a discrete inf-sup condition for its Ritz-Galerkin discretization on sparse tensor product edge element spaces built on nested sequences of meshes. Our main tool is a generalization of the edge element Fortin projector to a tensor product setting. The techniques extend to the surface boundary edge element discretization of tensorized ...