Interior Numerical Approximation of Boundary Value Problems with a Distributional Data

Abstract

The approximation properties of a harmonic function mu element of H(exp 1-kappa) (Omega), kappa > Omicron (sub 2), on a relatively compact subset A of Omega, using the Generalized Finite Element Method(GFEM). In addition to the Generalized Finite Element Method, the following mathematical topics are discussed in this research paper: Interior estimates for the GFEM; Discrete solutions; Approximate solution of the Laplace equation with distribution boundary conditions using the GFEM; Polynomial local approximation spaces.

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Document Details

Document Type
Technical Report
Publication Date
Feb 22, 2005
Accession Number
ADA438296

Entities

People

  • Ivo Babuška
  • Victor Nistor

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Boundaries
  • Boundary Value Problems
  • Construction
  • Diameters
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Hilbert Space
  • Inequalities
  • Linear Algebra
  • Notation
  • Numbers
  • Polynomials
  • Sequences
  • Theorems
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space