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In tree-based adaptive mesh refinement (AMR) we store refinement trees in the cells of an unstructured coarse mesh. This lets us combine the speed and simpler management of structured refinement trees with the more flexible mesh generation of the unstructured coarse mesh. But this creates a conflict between performance and geometrical accuracy. If we favor speed we reduce the cells in our coarse mesh and hence reduce the accuracy of our geometrical representation. If we want more accurate results we generate a finer coarse mesh and lose performance by managing more cells in our unstructured coarse mesh. To mitigate this conflict we present the prototype of an geometry description which we implement in an already existing library. With this description we build geometry adapted hexahedral refinement trees, which also support high-order curved boundary cells. We also present examples on how to use this description. Moreover, we test the speedup of this new algorithm compared with coarse meshes with different geometrical errors.
Distributed computing environments allow collaborative problem solving across teams and organisations. A fundamental precondition for collaboration is the ability to find available participants and be able to exchange information. One way to approach this conceptual formulation are central directories or registry services. A major disadvantage of centralized components is, that they limit the flexibility to form ad hoc networks that are targeted to solve a specific problem. To facilitate flexible and dynamic collaborations, ideas from decentralized and self-organising networks can be combined with concepts of service oriented computing. This project aims to investigate potential solutions for dynamic discovery of network participants and outlines how to manage challenges associated with the development of a discovery protocol for distributed systems. During the course of this project a prototypical implementation was created that integrates into the open source distributed, collaborative problem solving environment RCE [9]. It is currently developed at the German Aerospace Center (DLR) but is planned to make the framework available to broader community.