Preconditioned Iterative Methods for Nonselfadjoint or Indefinite Elliptic Boundary Value Problems.

Abstract

The authors consider a Galerkin-Finite Element approximation to a general linear elliptic boundary value problem which may be nonselfadjoint or indefinite. They show how to precondition the equations so that the resulting systems of linear algebraic equations lead to iteration procedures whose iterative convergence rates are independent of the number of unknowns in the solution. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1984
Accession Number
ADA140777

Entities

People

  • J. E. Pasciak
  • J. H. Bramble

Organizations

  • Yale University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Computations
  • Computer Science
  • Convergence
  • Differential Equations
  • Equations
  • Errors
  • Finite Element Analysis
  • Formulas (Mathematics)
  • New York
  • Partial Differential Equations
  • Poisson Equation
  • Sparse Matrix
  • Theorems

Fields of Study

  • Mathematics

Readers

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