Boundary Elements and Other Mesh Reduction Methods

The Conference on Mesh Reduction Methods and Boundary Elements (MRM/BEM) is recognised as the international forum for the latest advances of these methods and their applications in sciences and engineering. The book should be of interest to engineers and scientists working within the areas of numerical analysis, boundary elements and meshless methods. Since the first conference took place in Southampton UK in 1978, the success of the meeting is an indication of the strength of the research being carried out by many different groups around the world. This continuous growth is a result of the evolution of the techniques from methods based on classical integral equations to techniques that now cover a wide variety of mathematical approaches, the main objective of which is to reduce or eliminate the mesh. The mesh, a concept inherited from more primitive methods, such as finite differences and finite elements, is alien to the solution of the problem and dictated only by the limitations of first-generation analysis techniques.The topics of the latest conference include: Fluid Flow; Damage Mechanics and Fracture; Dynamics and Vibrations; Electrical Engineering and Electromagnetics; Advanced Meshless and Mesh Reduction Methods; Advanced Formulations; Computational Techniques.

Table of Contents:
Contents Section 1: Fluid flow Simulation of flow of nanofluids by BEM; Boundary element solution of thermal creeping flow in a nano single mixer; Solution of velocity-vorticity URANS by BEM; Numerical criteria for calculating the density diffusion in a water reservoir; Optimum design of cut off walls located in the foundation of diversion dams using boundary element method Section 2: Damage mechanics and fracture Integral equations for crack systems in a slightly heterogeneous elastic medium; A simple implementation of the dual boundary element method using the tangential differential operator for plane problems; BEMs to evaluate interface cracks Section 3: Dynamics and vibrations An efficient FEM-BEM procedure for the multi-frequency acoustical analysis of lined ducts containing passive components; Inverse scattering analysis for an elastic half space based on a fast volume integral equation method Section 4: Electrical engineering and electromagnetics Boundary element modeling of complex grounding systems: study on current distribution; Rotational symmetry applied to boundary element computation for nuclear fusion plasma Section 5: Advanced meshless and mesh reduction methods Iterative meshfree methods for the Helmholtz equation; Control volume-radial basis function method for two-dimensional non-linear heat conduction and convection problems; On the efficiency of the method of fundamental solutions for acoustic scattering by a poroelastic material; The method of fundamental solutions for inverse obstacle acoustic scattering; Free and forced vibrations of the shells of revolution interacting with the liquid Section 6: Advanced formulations 3-D acoustic shape sensitivity analysis using the fast multipole boundary element method; The boundary element method revisited; A stochastic BEM formulation for vibro-acoustic analysis of structures in the mid-to-high frequency range; Volume integral equation method for the analysis of scattered waves in an elastic half space; Coupling the BEM/TBEM and the MFS for the numerical simulation of acoustic wave propagation and transient conduction heat transfer Section 7: Computational techniques Analyzing layered soil problems with an alternative multi-region BEM technique and a new infinite boundary element formulation; Analysis of slab bridges using boundary element method; Object-oriented C++ boundary element solution of the vector Laplace equation