BOUNDARY ELEMENT METHOD MODYFICATIONS FOR USE IN SOME IMPEDANCE AND OPTICAL TOMOGRAPHY APPLICATIONS
Maciej Pańczyk
m.panczyk@pollub.plLublin University of Technology, Institute of Computer Science (Poland)
Jan Sikora
Lublin University of Technology, Institute of Electronics and Information Technology (Poland)
Abstract
The article presents two elements associated with the practice of application of the boundary element method. The first is associated with BEM ability to analyze an open boundary objects and application of infinite boundary elements in the area of mammography. The second element is associated with the damped wall investigations. Wall humidity and moisture represents heterogeneous environment (Functionally Graded Materials) which has to be treated in a special way.
Keywords:
BEM, elementy brzegowe nieskończone, środowiska niejednorodne, tomografia impedancyjnaReferences
Arridge S.R.: Optical tomography in medical imaging. Inverse Problems, 15(2)/1999, 41–93.
Google Scholar
Beer G., Watson J.O.: Infinite Boundary Elements. International Journal for Numerical Methods in Engineering, 28/1989, 1233–1247.
Google Scholar
Beer G., Watson J.O., Swoboda G.: Three-dimensional analysis of tunnels using infinite boundary elements. Computers and Geotechnics, 3/1987, 37–58.
Google Scholar
Berowski P., Filipowicz S.F., Sikora J., Wójtowicz S.: Dehumidification of the wall process monitoring using 3D EIT system, 15th Conference on the Computation of Electromagnetic Fields COMPUMAG 2005, 2, Shenyang, 2005.
Google Scholar
Bettess P.: Infinite Elements, Penshaw Press, 1992.
Google Scholar
Filipowicz S., Rymarczyk T.: Dobór metod pomiarowych i algorytmów rekonstrukcji obrazu do badania stanu pni drzew. Przegląd Elektrotechniczny, 86(12)/2010, 38–41.
Google Scholar
Filipowicz S., Sikora J., Polakowski K., Hoła J., Schabowicz K., Wójtowicz S., Biernat K.: Tworzenie obrazów tomograficznych stanu zawilgocenia murów w przekrojach poprzecznych. Przegląd Elektrotechniczny, 05/2007, 116–121.
Google Scholar
Gray L.J., Kaplan T., Richardson J.D., Paulino G.H.: Green's Functions and Bounday Integral Analysis for Exponentially Graded Materials: Heat Conduction. Journal of Applied Mechanics, 70/2003, 543–549.
Google Scholar
Hoła J., Matkowski Z., Schabowicz K.: Impedance tomographic method of assessing the dampness of masonry. Z. 1-B/2007 Wydawnictwo Politechniki Krakowskiej http://bc.biblos.pk.edu.pl/bc/resources/CT/CzasopismoTechniczne_1B_2007/ HolaJ_TomografiaImpedancyjna.pdf.
Google Scholar
Jabłoński P.: Metoda elementów brzegowych w analizie pola elektromagnetycznego. Wydawnictwo Politechniki Częstochowskiej, Częstochowa, 2003.
Google Scholar
Kurgan E.: Analiza pola magnetostatycznego w środowisku niejednorodnym metodą elementów brzegowych. Uczelniane wydawnictwa naukowo-dydaktyczne AGH, Kraków, 1999.
Google Scholar
Moser W., Duenser Ch., Beer G., et al.: Mapped infinite elements for three-dimensional multiregion boundary element analysis. International Journal for Numerical Methods in Engineering, 61/2004, 317–328.
Google Scholar
Paulino G.H., Sutradhar A., Gray L.J.: Boundary element Methods for Functionally Graded Materials. International Association for Boundary Element Methods, IABEM 28-30 May 2002 Austin.
Google Scholar
Paulino G.H., Sutradhar A.: The simple boundary element method for multiple cracks in functionally graded media governed by potential theory: a three-dimensional Galerkin approach. International Journal for Numerical Methods in Engineering, 65/2005, 2007–2034.
Google Scholar
Rymarczyk T.: Praktyczne implementacje metody zbiorów poziomicowych w tomografii impedancyjnej. Przegląd Elektrotechniczny, 07b/2004, 138–140.
Google Scholar
Sikora J.: Boundary Element Method for Impedance and Optical Tomography, Oficyna Wydawnicza Politechniki Warszawskiej, Warsaw 2007.
Google Scholar
Sikora J: Numeryczne metody rozwiązywania zagadnień brzegowych. Podstawy metody elementów skończonych i metody elementów brzegowych. Wydawnictwa uczelniane Politechniki Lubelskiej, Lublin 2009.
Google Scholar
Stasiak M., Berowski P., Sikora J.: Porównanie algorytmów tomografii impedancyjnej zastosowanych do identyfikacji wnętrza obiektów trójwymiarowych. Przegląd Elektrotechniczny, 12/2006, 13–16.
Google Scholar
Sutradhar A., Paulino G.H.: A simple boundary element method for problems of potential in non-homogeneous media. International Journal for Numerical Methods in Engineering, 60/2004, 2203–2230.
Google Scholar
Sutradhar A., Paulino G.H., Gray L.J.: On hypersingular surface integrals in the symmetric Galerkin boundary element method: application to heat conduction in exponentially graded materials. International Journal for Numerical Methods in Engineering, 62/2005, 122–157.
Google Scholar
Tarvainen T.: Computational Methods for Light Transport in Optical Tomography, PhD Thesis, Department of Physics, University of Kuopio, 2006, http://physics.uku.fi/~vilhunen/phdthesis ttarvainen.pdf .
Google Scholar
TOAST software suite for image reconstruction in optical diffusion tomography, developed by Martin Schweiger and Simon Arridge at University College London, 2013, http://web4.cs.ucl.ac.uk/research/vis/toast/
Google Scholar
Watson J.O.: Advanced implementation of the boundary element method for two- and three-dimensional elastostatics, Developments in Boundary Element Methods - 1 (Editors P.K. Banerjee and R. Butterfield), Elsevier Applied Science Publishers, 61/1979, 31–63.
Google Scholar
Zacharopoulos A., Arridge S.R., Dorn O., Kolehmainen V., Sikora J., et al.: Three-dimensional reconstruction of shape and piecewise constant region values for optical tomography using spherical harmonic parametrization and a boundary element method. Inverse Problems, 22/2006, 1–24.
Google Scholar
Zienkiewicz C.O., Emson C., Bettess P., et al.: A novel boundary infinite element. International Journal for Numerical Methods in Engineering, 16/1983, 393–404.
Google Scholar
Authors
Maciej Pańczykm.panczyk@pollub.pl
Lublin University of Technology, Institute of Computer Science Poland
Authors
Jan SikoraLublin University of Technology, Institute of Electronics and Information Technology Poland
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