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.
Section 1: Advanced formulations Explicit formulations for advanced Green's functions with built-in boundaries; The meshless analog equation method: a new highly accurate truly mesh-free method for solving partial differential equations; Solving Poisson's equations by the Discrete Least Square Meshless method; Evaluation of Asian option by using RBF approximation; Bumps modeling using the principal shear stresses; Integral equations for elastic problems posed in principal directions: application for adjacent domains; Matrix decomposition MFS algorithms; A meshfree minimum length method; DRM formulation for axisymmetric laser-material interactions Section 2: Advanced structural applications Large deflection analysis of membranes containing rigid inclusions; Shear deformation effect in nonlinear analysis of spatial beams subjected to variable axial loading by BEM; High rate continuum modeling mesh reduction methodologies and advanced applications; Boundary element analysis of strain fields in InAs/GaAs quantum wire structures Section 3: Heat and mass transfer A meshless solution procedure for coupled turbulent flow and solidification in steel billet casting; Conduction heat transfer with nonzero initial conditions using the Boundary Element Method in the frequency domain; The heat release rate of the fire predicted by sequential inverse method Section 4: Electrical engineering and electromagnetics Computation of maximal electric field value generated by a power substation; Transient analysis of coated thin wire antennas in free space via the Galerkin-Bubnov indirect Boundary Element Method; Synthesis method of the Cassegrain type unsymmetrical antennas; Numerical simulation of a 3D virtual cathode oscillator Section 5: Fluid flow Iterative coupling in fluid-structure interaction: a BEM-FEM based approach; The Complex Variable Boundary Element Method for potential flow problems; BE DRM-MD for two-phase flow through porous media; Boundary element method for the analysis of flow and concentration in a water reservoir Section 6: Computational techniques A Laplace transform boundary element solution for the biharmonic diffusion equation; Transformative models in reliability assessment of structures; Rapid re-analysis in BEM elastostatic calculations Section 7: Dynamics and vibrations 3D wave field scattered by thin elastic bodies buried in an elastic medium using the Traction Boundary Element Method; Wave propagation in elastic and poroelastic media in the frequency domain by the boundary element method; A space-time boundary element method for 3D elastodynamic analysis Section 8: Damage fracture and mechanics Wave motion through cracked, functionally graded materials by BEM; Boundary element formulation applied to multi-fractured bodies; Penalty formulation of damage in classical composites