The DUNE-ALUGrid Module

@article{Dedner2014TheDM,
  title={The DUNE-ALUGrid Module},
  author={Andreas Dedner and Robert Kl{\"o}fkorn and Martin Nolte},
  journal={ArXiv},
  year={2014},
  volume={abs/1407.6954}
}
In this paper we present the new DUNE-ALUGrid module. This module contains a major overhaul of the sources from the ALUgrid library and the binding to the DUNE software framework. The main changes include user defined load balancing, parallel grid construction, and an redesign of the 2d grid which can now also be used for parallel computations. In addition many improvements have been introduced into the code to increase the parallel efficiency and to decrease the memory footprint. The original… 
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References

SHOWING 1-10 OF 48 REFERENCES
A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE
TLDR
An efficient interface specification as a set of C++ classes is derived that separates the applications from the grid data structures and thus, user implementations become independent of the underlying grid implementation.
An efficient implementation of an adaptive and parallel grid in DUNE
TLDR
An efficient implementation of an adaptive and parallel grid (ALUGrid) within the Distributed and Unified Numerics Environment DUNE is described and example computations using the grid interface are presented.
Performance Pitfalls in the Dune Grid Interface
TLDR
The implementation of Cartesian grids in Dune as well as the implementation of meta grids are discussed, and a general Dune implementation of a Finite Volume scheme with a special purpose implementation is compared.
Dune-Multidomaingrid: A Metagrid Approach to Subdomain Modeling
We present a Dune-Grid extension that enhances existing Dune grids with the ability to designate arbitrary subsets of their leaf entity complex as subdomains and present them as new grid objects. We
Generic components for petascale adaptive unstructured mesh-based simulations
TLDR
This paper presents how generic programming was applied to an ongoing effort for mesh-based adaptive simulations on massively parallel computers, and demonstrates the efficiency of the reusable, generic components which do not sacrifice the performance of the previous tools developed in the traditional object-oriented programming paradigm.
libMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations
TLDR
The main goals of this article are to provide a basic reference source that describes libMesh and the underlying philosophy and software design approach, and to give sufficient detail and references on the adaptive mesh refinement and coarsening (AMR/C) scheme for applications analysts and developers.
The Application of Adaptive Parallel Multigrid Methods to Problems in Nonlinear Solid Mechanics
2.1 INTRODUCTION We consider the eecient simulationof the quasi-static deformation process of materials with memory, where the history of the deformation is described by internal variables. Here, we
p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
We present scalable algorithms for parallel adaptive mesh refinement and coarsening (AMR), partitioning, and 2:1 balancing on computational domains composed of multiple connected two-dimensional
Space-Filling Curves - An Introduction with Applications in Scientific Computing
  • M. Bader
  • Computer Science
    Texts in Computational Science and Engineering
  • 2013
TLDR
Grammar-based techniques are introduced for traversals of Cartesian and octree-type meshes, and arithmetisation is explained to compute SFC mappings and indexings, and the locality properties of SFC are discussed in detail.
The Zoltan and Isorropia parallel toolkits for combinatorial scientific computing: Partitioning, ordering and coloring
TLDR
This paper developed Isorropia as a Trilinos package, which supports most of Zoltan's features via a matrix-based interface, and serves as a platform for additional matrix algorithms.
...
...