Adaptive and Parallel Computation for Transient Partial Differential Equations

Abstract

We have studied and developed procedures for the adaptive and parallel solution of transient partial differential equations. In particular, we concentrated on (i) techniques to manage distributed data, (ii) dynamic load balancing, (iii) discontinuous Galerkin schemes for hyperbolic systems, (iv) a posteriori error estimation strategies for discontinuous Galerkin methods, and (v) generalized mesh adaptation procedures. The resulting software is being applied to problems arising in several disciplines; however, it has been most successful with compressible fluid dynamics.

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Document Details

Document Type
Technical Report
Publication Date
Mar 22, 2002
Accession Number
ADA414489

Entities

People

  • J. E. Flaherty
  • Mark S. Shephard

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Human Systems
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mechanics
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computer Science
  • Differential Equations
  • Dynamic Loads
  • Equations
  • Fluid Dynamics
  • Galerkin Method
  • Geometry
  • Mathematics
  • Mechanics
  • Parallel Computing
  • Partial Differential Equations
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)