Local Uniform Mesh Refinement for Partial Differential Equations.

Abstract

Several aspects of adaptive methods for partial differential equations implemented on vector and parallel computers were investigated on this effort. A new techniques for mapping mesh points to processors in a static way has been developed, this takes advantage of the structure of the family of solutions without singling out any one solution. Three publications and two technical reports resulted from this effort, as well as two conference proceedings papers and four presentations. Papers included such titles as A comparison of domain decomposition techniques for elliptic partial differential equations and their parallel implementation, Local uniform mesh refinement on loosely-complied parallel processors, and Dynamic grid manipulation for partial differential equations on hypercube parallel processors. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1987
Accession Number
ADA186312

Entities

People

  • William Gropp

Organizations

  • Yale University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computer Programming
  • Computer Science
  • Computers
  • Differential Equations
  • Equations
  • Mathematics
  • Parallel Computing
  • Parallel Processing
  • Parallel Processors
  • Partial Differential Equations
  • Security
  • Trees (Data Structures)
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

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