Boundary Integral Methods

This volume contains edited papers from IABEM-90, the 1990 Symposium of the Interna­ tional Association for Boundary Element Methods (IABEM). As stated in the By-Laws of the Association, the purposes of IABEM are: 1. to promote the international exchange of technical information related to the devel­ opment and application of boundary-integral equation (BIE) formulations and their numerical implementation to problems in engineering and science, commonly referred to as the boundary element method (BEM); 2. to promote research and development activities for the advancement of boundary­ integral equation methods and boundary element solution algorithms; 3. to foster closer personal relationships within the BEM community of researchers. The objectives of the Symposium, in line with those of the Association, was to provide a forum where the two "souls" of the Association, i. e. , (i) mathematical foundations and numerical aspects, and (ii) engineering applications could be integrated. We believe that the first aspect has been neglected in too many of the BEM Symposia held in the past, which, with a few exceptions (notably, the IUTAM Symposia on the subject) have emphasized the practical aspects of the method. As a consequence, we have tried to give a stronger emphasis to the more theoretical issues: this is attested for instance, by the fact that the two general lectures were given by Prof. Gaetano Fichera, of the University of Rome "La Sapienza," and Prof.

General Lectures.- Simple Layer Potentials for Elliptic Equations of Higher Order.- Variational Methods for BEM.- Contributions.- The Use of Spline Approximated Particular Integrals in the Free Vibration Analysis of Membranes by BEM.- Two and Three Dimensional Crack Growth Using the Surface Integral and Finite Element Hybrid Method.- 3-D Sound Generated by Moving Sources.- A Boundary Element Procedure for the Analysis of Two-Dimensional Elastic Structures.- The Boundary Element Method for the Diffusion Equation: a Feasibility Study.- A General Integral Formulation for Rotational Flows in Aerodynamics.- Viscous Flow Analysis Using the Poincaré Decomposition.- Application of a Low Order Panel Method to Slender Delta- Wings at High Angles of Attack.- Boundary Element Sensitivity Analysis and Optimal Design of Vibrating and Built-Up Structures.- Analysis of the Interaction Between Lifting Surfaces by Means of a Non-Linear Panel Method.- Efficient Analysis of Complex Solids Using Adaptive Trimmed Patch Boundary Elements.- Stochastic Boundary Elements for Groundwater Flow with Random Hydraulic Conductivity.- A New Integration Algorithm for Nearly Singular BIE Kernels.- A Contribution to Lifting Surfaces Aerodynamics Based on Time Domain Aeroacoustics.- Infiltration from Surface Water Bodies.- Dynamic Crack Propagation Using Boundary Elements.- The Shock Noise of High Speed Rotating Blades — The Supersonic Shock Problem.- Hypersingular Boundary Integral Equations: a New Approach to Their Numerical Treatment.- Hyperbolic Grid Generation with BEM Source Term.- Solution of Boundary Value Problems by Integral Equations of the First Kind — An Update.- GENESIS-A Mesh-free, Knowledge-based, Nonlinear Boundary Integral Methodology for Compressible, Viscous Flows over Arbitrary Bodies: Theoretical Framework and Basic Physical Principles.- An Iterative Boundary Element Analysis of Helically Symmetric MHD Equilibria.- The Generalized Boundary Element Approach to Viscous Flow Problems by Using the Time Splitting Technique.- Sample Point Boundary Element Error Analysis.- Boundary Formulations for Nonlinear Thermal Response Sensitivity Analysis.- Non-Linear Analysis of the Flow Around Partially or Super-Cavitating Hydrofoils by a Potential Based Panel Method.- A Discussion of BEM with reference to Trusses.- Time-Harmonic Elastic-Wave Scattering: The Role of Hypersingular Boundary Integral Equations.- A Numerical Solution of II Kind Fredholm Equations: A Naval Hydrodynamics Application.- Resistance of a Grooved Surface to Parallel and Cross Flow Calculated by B.E.M..- Indirect Evaluation of Surface Stress in the Boundary Element Method.- An Integral Equation Method for Geometrically Nonlinear Bending Problem of Elastic Circular Arch.- A Numerical Method for the Analysis of Nonlinear Sloshing in Circular Cylindrical Containers.- Coupling of Finite Elements and Consistent Boundary Elements in Structural Analysis.- Regularization in 3D for Anisotropic Elastodynamic Crack and Obstacle Problems.- Boundary Element Analysis of Non-Linear Wave Forces on Buried Pipelines.- Further Applications of Regularised Integral Equations in Crack Problems.- Analysis of Non-Planar Embedded Three-Dimensional Cracks Using the Traction Boundary Integral Equation.- Boundary/Field Variational Principles for the Elastic Plastic Rate Problem.- The Inclusion of Shear Deformations in a Plate Bending Boundary Element Algorithm.- Application of the Boundary Integral Equation (Boundary Element) Method to Time Domain Transient Heat Conduction Problems.- Panel Methods for Free Surface Flows.- On the Use of Different Fundamental Solutions for the Interior Acoustic Problem.- Identification of Cracks or Defects by Means of the Elastodynamic BEM.- Computer Simulation of Duct Noise Control by the Boundary Element Method.- Boundary Element Analysis of Non-Linear Liquid Motion in Two-Dimensional Containers.- A Combined Finite Element-Boundary Element Approach for ElastoPlastic Analysis.- Boundary Domain Integral Method for the Space Time Dependent Viscous Incompressible Flow.