APPROXIMATION OF NON-HOMOGENEOUS NEUMANN PROBLEMS - REGULARITY OF THE CONVERGENCE AND ESTIMATES OF ERRORS IN TERMS OF n-WIDTH.

Abstract

A process of approximation of a linear problem is constructed such that, under suitable assumptions, the convergence holds in the space where the solution actually lies. Under the same type of assumptions, the error behaves like the n-width. These results are applied to the approximation of solutions of Neumann variational boundary value problems with irregular data on the boundary. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1968
Accession Number
AD0681479

Entities

People

  • Jean Pierre Aubin

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Convergence
  • Differential Equations
  • Equations
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Neural Network Machine Learning.

Technology Areas

  • Space