On the Exponential Convergence of the h-p Version for Boundary Element Galerkin Methods on Polygons

Abstract

This paper applies the technique of the h-p version to the boundary element method for boundary value problems on non-smooth, plane domains with piecewise analytic boundary and data. The exponential rate of convergence of the boundary element Galerkin solution is proven when a geometric mesh refinement towards the vertices is used. (KR)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1989
Accession Number
ADA215814

Entities

People

  • B. Q. Guo
  • E. P. Stephan
  • Ivo Babuška

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms
  • Autonomy
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Element Methods
  • Boundary Value Problems
  • Convergence
  • Corporations
  • Equations
  • Finite Element Analysis
  • Formulas (Mathematics)
  • Galerkin Method
  • Integral Equations
  • Integrals
  • Maryland
  • Military Research
  • Numbers
  • Polynomials
  • Real Numbers
  • Universities

Fields of Study

  • Mathematics

Readers

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