Geometrical Symmetry in Symmetric Galerkin BEM

Abstract

We consider a symmetric boundary integral formulation associated with a mixed boundary value problem defined on a domain Omega is an element of the set of real numbers(2) with piecewise smooth boundary Gamma. We assume that Omega is mapped onto itself by a finite group G of congruences having at least two distinct elements. Hence, we can decompose the related symmetric Galerkin BEM problem into independent subproblems of reduced dimension with respect to the complete one. Shape functions for each subproblem can be obtained from classical BEM basis, ordered as a vector, applying suitable restriction matrices constructed starting from group representation theory.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2001
Accession Number
ADP013717

Entities

People

  • Alessandra Aimi
  • Mauro Diligenti

Organizations

  • University of Parma

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Decomposition
  • Galerkin Method
  • Hilbert Space
  • Identities
  • Integrals
  • Linear Systems
  • Mathematics
  • Parallel Processors
  • Potential Theory
  • Symmetry
  • Technical Information Centers
  • Theorems
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Linear Algebra
  • Operations Research