This book contains the edited proceedings of the 28th World Conference on Boundary Elements, an internationally recognized forum for the dissemination of the latest advances on Mesh Reduction Techniques and their applications in sciences and engineering. The book publishes articles dealing with computational issues and software developments in addition to those of a more theoretical nature. Engineers and scientists within the areas of numerical analysis, boundary elements and meshless methods will find the text invaluable. Topics include: Advances in Mesh Reduction Methods; Meshless Techniques; Advanced Formulations; Dual Reciprocity Method; Modified Trefftz Method; Fundamental Solution Method; Damage Mechanics and Fracture; Advanced Structural Applications; Dynamics and Vibrations; Material Characterization; Acoustics; Electrical Engineering and Electromagnetics; Heat and Mass Transfer; Fluid Mechanics Problems; Wave Propagation; Inverse Problems and Computational Techniques.
Author(s): C. A. Brebbia, J. T. Katsikadelis, C. A. Brebbia, J. T. Katsikadelis
Edition: illustrated edition
Publisher: WIT Press
Year: 2006
Language: English
Pages: 361
Tags: Математика;Вычислительная математика;
Cover......Page 1
Boundary Elements and Other Mesh Reduction Methods XXVIII......Page 2
Copyright Page......Page 9
Preface......Page 10
Contents......Page 12
Section 1: Advanced formulations......Page 16
Explicit formulations for advanced Green's functions with built-in boundaries......Page 18
The meshless analog equation method: a new highly accurate truly mesh-free method for solving partial differential equations......Page 28
Solving Poisson's equations by the Discrete Least Square Meshless method......Page 38
Evaluation of Asian option by using RBF approximation......Page 48
Bumps modeling using the principal shear stresses......Page 56
Integral equations for elastic problems posed in principal directions: application for adjacent domains......Page 66
Matrix decomposition MFS algorithms......Page 76
A meshfree minimum length method......Page 84
DRM formulation for axisymmetric laser-material interactions......Page 94
Section 2: Advanced structural applications......Page 104
Large deflection analysis of membranes containing rigid inclusions......Page 106
Shear deformation effect in nonlinear analysis of spatial beams subjected to variable axial loading by BEM......Page 116
High rate continuum modeling mesh reduction methodologies and advanced applications......Page 126
Boundary element analysis of strain fields in InAs/GaAs quantum wire structures......Page 134
Section 3: Heat and mass transfer......Page 144
A meshless solution procedure for coupled turbulent flow and solidification in steel billet casting......Page 146
Conduction heat transfer with nonzero initial conditions using the Boundary Element Method in the frequency domain......Page 158
The heat release rate of the fire predicted by sequential inverse method......Page 168
Section 4: Electrical engineering and electromagnetics......Page 178
Computation of maximal electric field value generated by a power substation......Page 180
Transient analysis of coated thin wire antennas in free space via the Galerkin-Bubnov indirect Boundary Element Method......Page 190
Synthesis method of the Cassegrain type unsymmetrical antennas......Page 202
Numerical simulation of a 3D virtual cathode oscillator......Page 208
Section 5: Fluid flow......Page 218
Iterative coupling in fluid-structure interaction: a BEM-FEM based approach......Page 220
The Complex Variable Boundary Element Method for potential flow problems......Page 226
BE DRM-MD for two-phase flow through porous media......Page 236
Boundary element method for the analysis of flow and concentration in a water reservoir......Page 246
Section 6: Computational techniques......Page 256
A Laplace transform boundary element solution for the biharmonic diffusion equation......Page 258
Transformative models in reliability assessment of structures......Page 268
Rapid re-analysis in BEM elastostatic calculations......Page 278
Section 7: Dynamics and vibrations......Page 288
3D wave field scattered by thin elastic bodies buried in an elastic medium using the Traction Boundary Element Method......Page 290
Wave propagation in elastic and poroelastic media in the frequency domain by the boundary element method......Page 300
A space-time boundary element method for 3D elastodynamic analysis......Page 310
Section 8: Damage fracture and mechanics......Page 320
Wave motion through cracked, functionally graded materials by BEM......Page 322
Boundary element formulation applied to multi-fractured bodies......Page 332
Penalty formulation of damage in classical composites......Page 344
S......Page 354
Z......Page 355
