On the Convergence of the p-Version of the Boundary Element Galerkin Method.

Abstract

The authors consider various physical problems which may be formulated in terms of integral equations of the first kind, including the two-dimensional screen Neumann and Dirichlet problems in acoustics (and crack problems in elasticity). Sharp regularity results for the solutions are available for these problems. Proven is the convergence of the p-version for some Galerkin boundary element schemes based on the integral equation formulations. It is shown that the rate of convergence obtained by our method is twice that for the usual h-version.

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Document Details

Document Type
Technical Report
Publication Date
Jul 14, 1987
Accession Number
ADA186198

Entities

People

  • E. P. Stephan
  • M. Suri

Organizations

  • University of Maryland, Baltimore County

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Acoustics
  • Air Force
  • Boundary Value Problems
  • Computational Science
  • Equations
  • Finite Element Analysis
  • Galerkin Method
  • Inequalities
  • Integral Equations
  • Integrals
  • Mathematics
  • Numbers
  • Numerical Analysis
  • Periodic Functions
  • Polynomials
  • Theorems
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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