Parallel Adaptive Techniques for Transient Partial Differential Equations.

Abstract

As scientific and engineering problems increase in complexity, there is a corresponding need to automate a greater portion of the solution process. Adaptive methods are capable of providing many of the decisions - that arise when solving problems involving partial differential equations. When automatic mesh generation, refinement and coarsening is combined with method-order variation, it is possible to construct methods having spectral convergence rates. Accuracy and solution reliability are verified by asymptotically correct estimates of discretization errors. With parallel computation becoming more widespread and necessary, it is important to consider parallel adaptive strategies. Much more difficult to parallelize than traditional algorithms, adaptive strategies necessarily require dynamic processor scheduling because of load changes introduced by periodic solution enrichment. (AN)

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Document Details

Document Type
Technical Report
Publication Date
Nov 10, 1994
Accession Number
ADA290460

Entities

People

  • J. E. Flaherty
  • Mark S. Shephard

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Energy and Power Technologies
  • Engineered Resilient Systems
  • Human Systems

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Mechanics
  • Computational Science
  • Computer Science
  • Differential Equations
  • Engineering
  • Equations
  • Finite Element Analysis
  • Fluid Flow
  • Mathematics
  • Military Research
  • Numerical Analysis
  • Parallel Computing
  • Partial Differential Equations
  • Three Dimensional

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Parallel and Distributed Computing.