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IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method

held in Cracow, Poland, 31 May-3 June 1999

  • Conference proceedings
  • © 2001

Overview

Editors:
  1. Tadeusz Burczynski

    1. Department for Strength of Materials and Computational Mechanics, Silesian University of Technology, Gliwice, Poland
      Institute of Computer Modelling, Cracow University of Technology, Cracow, Poland

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Table of contents (35 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. A Dual Reciprocity Boundary Element Formulation for Transient Non-Linear Conduction-Radiation Problems

    • Jutta Blobner, Günther Kuhn, Ryszard A. Białecki, Matjaž Hriberšek
    Pages 1-11

  3. A General Algorithm for the Direct Numerical Evaluation of Element Integrals in the 2D Galerkin BEM

    • Marc Bonnet, Massimo Guiggiani
    Pages 13-23

  4. Applications of Boundary Integral Equations for Solving Some Identification Problems in Elasticity

    • Huy Duong Bui, Andrei Constantinescu
    Pages 25-35

  5. Evolutionary BEM Computation in Shape Optimization Problems

    • T. Burczynski, W. Beluch, A. Dlugosz, G. Kokot, W. Kus, P. Orantek
    Pages 37-49

  6. A Regularized Direct Symmetric Galerkin BIE Formulation for Three-Dimensional Elastoplasticity

    • Bertrand Burgardt, Marc Bonnet, Anh Le Van
    Pages 51-61

  7. Implementation of a Symmetric Galerkin Boundary Element Method in Quasi-Brittle Fracture Mechanics

    • Angelo Carini, Alberto Salvadori
    Pages 63-73

  8. On the True and Spurious Eigensolutions Using Circulants for Real-Part Dual BEM

    • J. T. Chen, S. R. Kuo, Y. C. Cheng
    Pages 75-85

  9. Hypersingular Formulation for 3-D Fracture Mechanics. A Simple Numerical Approach

    • J. Dominguez, M. P. Ariza
    Pages 87-97

  10. Shape Identification of 3-D Obstacles

    • Veit Dröge, Friedel Hartmann
    Pages 99-109

  11. Integral Transform Methods in 3-D Dynamic Fracture Mechanics

    • P. Fedelinski
    Pages 111-121

  12. Solution of Plane Thermoelasticity Problems of Fracture Mechanics by the Displacement and Temperature Discontinuity Method

    • Arkadiy Goltsev
    Pages 123-132

  13. Investigating Unnamed Singularities

    • Massimo Guiggiani, Attilio Frangi
    Pages 133-143

  14. Boundary Element Method, Homogenization and Heat Conduction in Composite Materials

    • M. Kaminski
    Pages 145-160

  15. Some Mathematical Aspects of the BEM in Elastic Scattering of Acoustic Waves

    • Andrzej Karafiat
    Pages 161-171

  16. Non-Singular Reciprocity Based BEM/FEM Formulations

    • Vladimír Kompiš, Lenka Jakubovičová, František Konkol̆
    Pages 173-188

  17. Numerical Analysis of Biological Tissue Freezing Process

    • E. Majchrzak, M. Dziewonski
    Pages 189-200

  18. Analysis of Bio-Heat Transfer in the System Blood Vessel — Biological Tissue

    • E. Majchrzak, B. Mochnacki
    Pages 201-211

  19. Rigid inclusions in frictionless unilateral contact with the matrix: identification of maximum stiffness structures by means of BEM formulations and sensitivity analyses

    • V. Mallardo, C. Alessandri
    Pages 213-226

  20. Numerical Model of Cast Composite Solidification

    • B. Mochnacki, R. Szopa
    Pages 227-236
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Keywords

About this book

During the last two decades the boundary element method has experienced a remarkable evolution. Contemporary concepts and techniques leading to the advancements of capabilities and understanding of the mathematical and computational aspects of the method in mechanics are presented. The special emphasis on theoretical and numerical issues, as well as new formulations and approaches for special and important fields of solid and fluid mechanics are considered. Several important and new mathematical aspects are presented: singularity and hypersingular formulations, regularity, errors and error estimators, adaptive methods, Galerkin formulations, coupling of BEM-FEM and non-deterministic (stochastic and fuzzy) BEM formulations. Novel developments and applications of the boundary element method in various fields of mechanics of solids and fluids are considered: heat conduction, diffusion and radiation, non-linear problems, dynamics and time-depending problems, fracture mechanics, thermoelasticity and poroelasticity, aerodynamics and acoustics, contact problems, biomechanics, optimization and sensitivity analysis problems, ill posed and inverse problems, and identification problems.

Editors and Affiliations

  • Department for Strength of Materials and Computational Mechanics, Silesian University of Technology, Gliwice, Poland

    Tadeusz Burczynski

  • Institute of Computer Modelling, Cracow University of Technology, Cracow, Poland

    Tadeusz Burczynski

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