Featuring the results of state-of-the-art research from around the world, this book contains contributions from the Twenty-Sixth International Conference on Boundary Elements and other Mesh Reduction Methods. The latest research in and applications of Mesh Reduction Methods (MRM) are detailed while other topics explored include: Advanced Formulations; Dual Reciprocity Method; Advances In Radial Basis Functions; Modified Trefftz Method; Fundamental Solution Method; Stress Analysis; Plates and Shells; Fracture Mechanics and Fatigue; Dynamics and Vibrations; Composite Materials; Acoustics; Electrostatics and Electromagnetics; Heat and Mass; Fluid Problems; Wave Propagation; Inverse Problems; and Computational Techniques. The material provided will be invaluable to engineers and scientists working within the areas of numerical analysis, boundary elements and meshless methods.
Section 1: Advanced formulations Combined application of BEM and
cellular automata to some shape optimization in acoustic fields; Local
integral equations and finite elements; Conventional, hybrid and simplified
boundary element methods; Wave and water motion analysis using combined
boundary element and weighted finite difference method; Sensitivity analysis
of the Poisson equation using the Trefftz method; Matrix compression schemes
for wavelet BEM and their performance; The new 3-D contact boundary element
method of load peculiarity in a roller bearing; Variational inequalities and
applications to a continuum model of transportation network with capacity
constraints Section 2: Advances in DRM and radial basis functions Symmetric
radial basis function meshless approach for time dependent PDEs; A
comparative analysis between two different RBFs for the performance of the
DRM in multi domains; Radial basis function selection in 3D DRM-MD for
potential problems; A BEM DRM-MD for flow and transport in 3D fracture
networks; Modelling and simulation of a Savonius rotor using the boundary
element method; Mode matching technique in the form of over determined
contour collocations for the solution of the elasticity theory problem
Section 3: Advances in Mesh Reduction Methods (MRM) Boundary interpolation
vs boundary elements: theory and some applications; A mesh reduction method
for the analysis of composite layered stiffened plates; Application of a mesh
reduction dynamic finite element method in coupled vibration analysis of
structural elements; A dual reciprocity method for phase change problems; A
particle numerical approach based on the SPH method for computational fluid
mechanics; The method of fundamental solutions, a dipole formulation for
potential problems Section 4: Inverse problems QNDE using complete
frequency information from ultrasound; An inverse BEM/GA based approach for
retrieval of multi-dimensional heat transfer coefficients within film cooling
holes/slots; Identification of unknown parameters in the dynamic analysis of
a subway track by genetic algorithms; The use of a coarse BEM mesh to speed
up the optimisation process in inverse electrical impedance tomography
Section 5: Advances in structural analysis Boundary element analysis of
elastic frictional contact problems with finite strains; 3D BEM formulation
of stability of tunnel face; Plate analysis under dynamic loads considering
the shear deformation effect Section 6: Fracture and damage mechanics Time
harmonic and static crack problems in 3-D transversely isotropic bodies;
Progress of BE fatigue fracture solutions; Boundary element formulation for
2D solids with stiff and soft inclusions; Disconnections in fiber reinforced
concretes; Hyper-singular boundary element method for elastic fracture
mechanics analysis with large deformation; Boundary element analysis of
FRP-concrete delamination Section 7: Electrical and electromagnetic problems
Influence of geometric detail in component modelling; A study of corrosion
related electromagnetic signatures of marine vessels using a BEM; Fast
multipole boundary element method for the solution of 3D electrostatic field
problems; Temperature rise in the human body exposed to radiation from base
station antennas Section 8: Fluid and heat transfer problems The Laplace
transform boundary element methods for diffusion problems with periodic
boundary conditions; 2.5D Green's functions for transient heat transfer by
conduction and convection; Extension of CVBEM to dispersive flow in the
presence of distributed fractures; Analytical versus BEM solutions for
transient heat transfer by conduction and convection in 2.5D domains Section
9: Wave propagation Scattering of 3D acoustic waves by cracks using two
different boundary elements formulations; Application of the complete
eigenfunction expansion form of the Green's function to a scattering problem;
Transient wave motion in a cracked, multi-layered geological region by the BEM