A common data management infrastructure for adaptive algorithms for PDE solutions

Manish Parashar, James C. Browne, Carter Edwards, Kenneth Klimkowski

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Scopus citations


This paper presents the design, development and application of a computational infrastructure to support the implementation of parallel adaptive algorithms for the solution of sets of partial differential equations. The infrastructure is separated into multiple layers of abstraction. This paper is primarily concerned with the two lowest layersof this infrastructure: A layer which defines and implements dynamic distributed arrays (DDA), and a layer in which several dynamic data and programming abstractions are implemented in terms of the DDAs. The currently implemented abstractions are those needed for formulation of hierarchical adaptive finite difference methods, hp-adaptive finite element methods, and fast multipole method for solution of linear systems. Implementation of sample applications based on each of these methods are described and implementation issues and performance measurements are presented.

Original languageEnglish (US)
Title of host publicationProceedings of the 1997 ACM/IEEE Conference on Supercomputing, SC 1997
PublisherAssociation for Computing Machinery
ISBN (Print)0897919858, 9780897919852
StatePublished - 1997
Event1997 ACM/IEEE Conference on Supercomputing, SC 1997 - San Jose, CA, United States
Duration: Nov 15 1997Nov 21 1997

Publication series

NameProceedings of the International Conference on Supercomputing


Other1997 ACM/IEEE Conference on Supercomputing, SC 1997
CountryUnited States
CitySan Jose, CA

All Science Journal Classification (ASJC) codes

  • Computer Science(all)


  • Adaptive mesh-refinement
  • Distributed dynamic data structures
  • Fast multipole methods
  • Hp-adaptive finite elements
  • Parallel adaptive algorithm
  • Problem solving environment

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