This volume, dedicated to Professor Dimitri Beskos, contains contributions from leading researchers in Europe, the USA, Japan and elsewhere, and addresses the needs of the computational mechanics research community in terms of timely information on boundary integral equation-based methods and techniques applied to a variety of fields.
The contributors are well-known scientists, who also happen to be friends, collaborators as past students of Dimitri Beskos. Dimitri is one the BEM pioneers who started his career at the University of Minnesota in Minneapolis, USA, in the 1970s and is now with the University of Patras in Patras, Greece.
The book is essentially a collection of both original and review articles on contemporary Boundary Element Methods (BEM) as well as on the newer Mesh Reduction Methods (MRM), covering a variety of research topics. Close to forty contributions compose an over-500 page volume that is rich in detail and wide in terms of breadth of coverage of the subject of integral equation formulations and solutions in both solid and fluid mechanics.
สารบัญ
Stability Analysis of Plates.- Multi-Level Fast Multipole BEM for 3-D Elastodynamics.- A Semi-Analytical Approach for Boundary Value Problems with Circular Boundaries.- The Singular Function Boundary Integral Method for Elliptic Problems with Boundary Singularities.- Fast Multipole BEM and Genetic Algorithms for the Design of Foams with Functional-Graded Thermal Conductivity.- An Integral Equation Formulation of~Three-Dimensional Inhomogeneity Problems.- Energy Flux Across a Corrugated Interface of a Basin Subjected to a Plane Harmonic SH Wave.- Boundary Integral Equations and Fluid-Structure Interaction at the Micro Scale.- A 2D Time-Domain BEM for Dynamic Crack Problems in Anisotropic Solids.- Simulation of Elastic Scattering with a Coupled FMBE-FE Approach.- An Application of the BEM Numerical Green’s Function Procedure to Study Cracks in Reissner’s Plates.- General Approaches on Formulating Weakly-Singular BIES for PDES.- Dynamic Inelastic Analysis with BEM: Results and Needs.- Quantifier-Free Formulae for Inequality Constraints Inside Boundary Elements.- Matrix Decomposition Algorithms Related to the MFS for Axisymmetric Problems.- Boundary Element Analysis of Gradient Elastic Problems.- The Fractional Diffusion-Wave Equation in Bounded Inhomogeneous Anisotropic Media. An AEM Solution.- Efficient Solution for Composites Reinforced by Particles.- Development of the Fast Multipole Boundary Element Method for Acoustic Wave Problems.- Some Issues on Formulations for Inhomogeneous Poroelastic Media.- Axisymmetric Acoustic Modelling by Time-Domain Boundary Element Techniques.- Fluid-Structure Interaction by a Duhamel-BEM / FEM Coupling.- BEM Solution of Creep Fracture Problems Using Strain Energy Density Rate Concept.- MFS with RBF for Thin Plate Bending Problems on Elastic Foundation.- Time Domain B-Spline BEM Methods for Wave Propagation in 3-D Solids and Fluids Including Dynamic Interaction Effects of Coupled Media.- A BEM Solution to the Nonlinear Inelastic Uniform Torsion Problem of Composite Bars.- Time Domain BEM: Numerical Aspects of Collocation and Galerkin Formulations.- Some Investigations of Fast Multipole BEM in Solid Mechanics.- Thermomechanical Interfacial Crack Closure: A BEM Approach.
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