Mathematical and Computational Aspects

Front Matter....Pages i-xvi
The Origin of the Boundary Element Method and its Variants (Opening address) ....Pages 1-10
Front Matter....Pages 11-11
Green’s Functions for the Boundary Element Method (Invited contribution) ....Pages 13-20
Best Approximation of a Linear Operation Equation (Invited contribution) ....Pages 21-42
On the Identification of Non-Linear Operators and its Application (Invited contribution) ....Pages 43-58
Boundary Integral Equation Methods for Canonical Problems in Diffraction Theory (Invited contribution) ....Pages 59-77
Methods of Construction of Fundamental Solutions of Decomposable Linear Differential Operators (Invited contribution) ....Pages 79-97
A Generalized Approach to Transfer the Domain Integrals onto Boundary Ones for Potential Problems in BEM....Pages 99-116
The Hybrid Boundary Element Method....Pages 117-130
New Integral Equation Formulations for Continuum Mechanics....Pages 131-142
Analyses of Infinite Reservoir Using the Boundary Element Method with Particular Integrals....Pages 143-164
Front Matter....Pages 165-165
Experimental Convergence of Boundary Element Methods for the Capacity of the Electrified Square Plate....Pages 167-175
On the Stability of Boundary Element Methods for Integral Equations of the First Kind....Pages 177-191
On Quadrature Methods and Spline Approximation of Singular Integral Equations....Pages 193-211
Significance of Kernel Singularities for the Numerical Solution of Fredholm Integral Equations....Pages 213-227
Accuracy and Efficiency of a Panel Method for Free Surface Flow Problems in Three Dimensions....Pages 229-240
A-Posteriori Error Estimates and Adaptive Approaches for some Boundary Element Methods....Pages 241-256
Front Matter....Pages 257-257
Adaptive Boundary Element Methods (Invited contribution) ....Pages 259-278
A Comparison of the BEM and the T Matrix Methods (Invited contribution) ....Pages 279-289
Construction of Equivalent Finite Element Functions Using BEM....Pages 291-304
The Effect of Non-Convex Boundaries on Time Domain Boundary Element Solutions....Pages 305-320
Front Matter....Pages 257-257
A New Numerical Algorithm for Solving Fundamental Solutions....Pages 321-336
Adaptive Refinements in BEM....Pages 337-349
Self-Adaptive P-Hierarchical Boundary Elements in Elastostatics....Pages 351-373
A New Coordinate Transformation Method for Singular and Nearly Singular Integrals over General Curved Boundary Elements....Pages 375-399
Development of Overhauser Splines as Boundary Elements....Pages 401-407
Front Matter....Pages 409-409
Symmetric Methods for the Coupling of Finite Elements and Boundary Elements ( Invited contribution )....Pages 411-420
On Some Coupled Problems in Mechanics by the Coupling Technique of Boundary Element and Finite Element (Invited contribution) ....Pages 421-434
On Coupling of the Boundary Element and R-Function Methods....Pages 435-445
On Simplified Hybrid Methods for Coupling of Finite Elements and Boundary Elements....Pages 447-460
Front Matter....Pages 461-461
The Panel Clustering Technique for the Boundary Element Method (Invited contribution) ....Pages 463-474
Multigrid Methods in Boundary Element Calculations (Invited contribution) ....Pages 475-492
Linear Equations Solver for Large Block Matrices Arising in BEM....Pages 493-503
Nonlinear Equations Solver for Large Equations Sets Arising When Using BEM in Inhomogenous Regions of Nonlinear Material....Pages 505-518
Resolving Difficulties in the BIEM Caused by Geometric Corners and Discontinuous Boundary Conditions....Pages 519-532
Front Matter....Pages 533-533
Industrial Application of the Boundary Element System BETSY....Pages 535-548
Integrated Design and Analysis using the Boundary Element Method....Pages 549-563
Boundary Elements on Personal Computers....Pages 565-570
Murphy’s Law in Boundary Element Implementations....Pages 571-577
Computer Programme KYOKAI.F for Viscous and Thermal Fluid Flow Problems....Pages 579-592
DBETSY — Industrial Application of the BEM....Pages 593-607