ON THE DISCRETIZATION ERROR OF THE DIRICHLET PROBLEM IN A PLANE REGION WITH CORNERS.

Abstract

Under the assumptions of piecewise analyticity of boundary and boundary values described in section 1, when the simple five point difference scheme for the discrete Laplacian and any of the three boundary value adjustments described in section 2 are applied, the discretization error of the Dirichlet problem solution can be estimated uniformly in the region by a given inequality.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0675807

Entities

People

  • Pentti Laasonen

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Inequalities

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra