Partitioning sparse matrices with eigenvectors of graphs
SIAM Journal on Matrix Analysis and Applications
Local modification of meshes for adaptive and/or multigrid finite-element methods
Journal of Computational and Applied Mathematics
Object-oriented finite element programming: I: Governing principles
Computer Methods in Applied Mechanics and Engineering
Object-oriented finite element in programming: II: A prototype program in Smalltalk
Computer Methods in Applied Mechanics and Engineering
A Cartesian Parallel Nested Dissection Algorithm
SIAM Journal on Matrix Analysis and Applications
ScaLAPACK user's guide
Parallel structures and dynamic load balancing for adaptive finite element computation
Proceedings of international centre for mathematical sciences on Grid adaptation in computational PDES : theory and applications: theory and applications
A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
SIAM Journal on Scientific Computing
Design of object oriented finite element code
Advances in Engineering Software
MPI: The Complete Reference
Object-oriented nonlinear finite element programming: a primer
Advances in Engineering Software
Load balancing and communication optimization for parallel adaptive finite element methods
SCCC '97 Proceedings of the 17th International Conference of the Chilean Computer Science Society
UML 2.0 in a Nutshell (In a Nutshell (O'Reilly))
UML 2.0 in a Nutshell (In a Nutshell (O'Reilly))
New challenges in dynamic load balancing
Applied Numerical Mathematics - Adaptive methods for partial differential equations and large-scale computation
Advances in Engineering Software
Finite Element/Fictitious Domain programming for flows with particles made simple
Advances in Engineering Software
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The present paper deals with the design and implementation of parallel load-balancing framework in an object-oriented finite element environment. The parallelization strategy is based on domain decomposition and message passing paradigms. The algorithmic and implementation aspects are discussed in detail. Paper also describes components of a complete adaptive strategy, i.e., the error estimator/indicator, projection operator and remeshing. The capabilities and performance of the developed framework are demonstrated on advanced engineering problems, showing the scalability of the implemented algorithm and advantages of dynamic load balancing when used in dedicated and nondedicated environments.