An adaptive finite-element strategy for the three-dimensional time-dependent Navier-Stokes equations
Journal of Computational and Applied Mathematics
Computing
Multilevel diffusion schemes for repartitioning of adaptive meshes
Journal of Parallel and Distributed Computing - Special issue on dynamic load balancing
hypre: A Library of High Performance Preconditioners
ICCS '02 Proceedings of the International Conference on Computational Science-Part III
Pursuing scalability for hypre's conceptual interfaces
ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection
An Introduction to Algebraic Multigrid
Computing in Science and Engineering
libMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations
Engineering with Computers
deal.II—A general-purpose object-oriented finite element library
ACM Transactions on Mathematical Software (TOMS)
Overview of the Blue Gene/L system architecture
IBM Journal of Research and Development
DOLFIN: Automated finite element computing
ACM Transactions on Mathematical Software (TOMS)
Adaptive simulation of turbulent flow past a full car model
State of the Practice Reports
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In this paper we describe a general adaptive finite element framework for unstructured tetrahedral meshes without hanging nodes suitable for large scale parallel computations. Our framework is designed to scale linearly to several thousands of processors, using fully distributed and efficient algorithms. The key components of our implementation, local mesh refinement and load balancing algorithms, are described in detail. Finally, we present a theoretical and experimental performance study of our framework, used in a large scale computational fluid dynamics computation, and we compare scaling and complexity of different algorithms on different massively parallel architectures.