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

1. Front Matter

   Pages i-xi

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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

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.

• Analysis
• algorithm
• algorithms
• computer-aided design (CAD)
• finite element method
• fluid dynamics
• fluid mechanics
• fuzzy
• mechanics
• model
• modeling
• numerical analysis
• optimization

• 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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