Corpus ID: 67792136

Numerical integration for symmetric Galerkin Boundary Element Method

  title={Numerical integration for symmetric Galerkin Boundary Element Method},
  author={Beata Pańczyk and J S Sikora},
  journal={Przegląd Elektrotechniczny},
The classical BEM produces fully populated coefficients matrix. With Galerkin Boundary Element Method (GBEM) is possible to produce the symmetric coefficients matrix. Generally the Galerkin boundary integral equations lead to the algebraic system where known and unknown boundary values are defined by one or two dimensional integrals. The main problems are related to the integrals evaluation and treatment of the singularities. These paper presents problems associated with integration for GBEM. 

Figures and Tables from this paper

Calculation of the improper integrals for Fourier boundary element method
Abstract. The traditional Boundary Element Method (BEM) is a collection of numerical techniques for solving some partial differential equations. The classical BEM produces a fully populatedExpand


Symmetric Galerkin Boundary Element Method
Boundary Integral Equations.- Two Dimensional Analysis.- Three Dimensional Analysis.- Surface Gradient.- Axisymmetry.- Interface and Multizone.- Error Estimation and Adaptivity.- Fracture Mechanics.-Expand
Fourier BEM: Generalization of Boundary Element Methods by Fourier Transform
Like FEM, the boundary element method (BEM) provides a general numerical tool for the solution of complex engineering problems. In the last decades, the range of its applications has remarkably beenExpand
Programming the Boundary Element Method
This book covers two- and three-dimensional linear and non-linear analysis in potential flow (heat flow and seepage) and static elasticity and contains several computer programs which can be used to solve real problems. Expand
Generalization of Boundary Element Methods by Fourier Transform, Springer-Verlag Berlin
  • 2002
Podstawy metody elementów brzegowych, wydawnictwo książkowe Instytutu Elektrotechniki
  • Warszawa
  • 2009
Boundary Element Method for Impedance and Optical Tomography
  • Oficyna Wydawnicza Politechniki Warszawskiej
  • 2007
Metoda elementów brzegowych w analizie pola elektromagnetycznego, Wydawnictwo Politechniki Częstochowskiej
  • Częstochowa
  • 2003
Matlab symbolic integration for Galerkin BEM, Methods of Optimisation and Data Analysis, Selected Issues, Szczecin
  • 2010
Algorytmy numeryczne w tomografii impedancyjnej i wiroprądowej, Oficyna Wydawnicza Politechniki Warszawskiej
  • Warszawa
  • 2000