Numerical Solution of Discrete Boundary Value Problems.

Abstract

This project concerned numerical methods for solving linear systems of equations of the type arising from discretization of boundary value problems of elliptic and mixed type. The problems considered were of fundamental use in mathematical models used in structural analysis and fluid dynamics. The emphasis was on preconditioning techniques in which properties of the problem are used to construct approximations that are easy to compute with and that lead to rapid convergence of iterative methods. The approach included both analytic studies producing bounds on convergence rates and computational experiments that confirm and supplement the analysis. (AN)

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Document Details

Document Type
Technical Report
Publication Date
Dec 07, 1995
Accession Number
ADA304032

Entities

People

  • Howard Elman

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundaries
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Convergence
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Linear Systems
  • Mathematical Models
  • Mathematics
  • Navier Stokes Equations
  • Numerical Analysis
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design