Data structures and load balancing for parallel adaptive hp finite-element methods

Parallel Domain Decomposition Solver for Adaptive Hp Finite Element Methods

In this paper, the development and implementation of highly parallelizable domain decomposition solvers for adaptive hp finite element methods is discussed. Two-level orthogonalization is used to obtain a reduced system which is preconditioned by a coarse grid operator. The condition number of the preconditioned system, for Poisson problems in two space dimensions, is proved to be bounded by C(...

Predictive Load Balancing for Parallel Adaptive Finite Element Computation

This paper provides an overview of data structures suitable for distributed storage of nite element mesh data as well as software designed for mesh adaptation and load balancing. During the course of a parallel computation, processor load imbalances are introduced at adaptive enrichment steps. Two predictive load balancing schemes that use a priori estimates of work load for adaptive re-nement ...

Predictive Load Balancing for Parallel Adaptive Finite Element Computation

Parallel Structures and Dynamic Load Balancing for Adaptive Finite Element Computation

An adaptive technique for a partial diierential system automatically adjusts a computational mesh or varies the order of a numerical procedure to obtain a solution satisfying prescribed accuracy criteria in an optimal fashion. We describe data structures for distributed storage of nite element mesh data as well as software for mesh adaptation, load balancing, and solving compressible ow problem...

Load Balancing and Communication Optimization for Parallel Adaptive Finite Element Methods

This paper describes predictive load balancing schemes designed for use with parallel adaptive finite element methods. We provide an overview of data structures suitable for distributed storage of finite element mesh data as well as software designed for mesh adaptation and load balancing. During the course of a parallel computation, processor load imbalances are introduced at adaptive enrichme...