IUTAM Symposium on Computational Methods for Unbounded Domains

This volume constitutes the proceedings of the IUTAM Symposium held in Boulder, Colorado, on 27-31 July, 1997. Invited researchers in acoustics, aeronautics, elastodynamics, electromagnetics, hydrodynamics and mathematics discussed non-reflecting computational boundaries. Thirty-three papers were presented. About two-thirds of these focused on the classical wave equation of acoustics; however, three papers dealt with hydrodynamic surface waves, two with electromagnetic waves, three with elastodynamic waves, and four with waves in aerodynamics. Approximately two-thirds of the papers addressed steady-state problems, with the rest treating problems in the time domain. A unique aspect of the symposium involved the formulation by the participants of benchmark problems for evaluating computational boundaries, as described in the first article. The volume should be of interest to analysts working on wave problems in unbounded domains.

Preface. Benchmark Problems; T.L. Geers. Recent Advances in Applying Wave-Envelope Elements to Unbounded Wave Problems; R.J. Astley. Water-Wave Green's Function for a 3D Uneven-Bottom Problem with Different Depths at x --> + INFINITY and x --> -INFINITY; G.A. Athanassoulis, K.A. Belibassakis. New Mapped Wave Infinite Element and Diffraction of Waves by Elliptical Cylinders of Varying Aspect Ratio; J.A. Bettess, P. Bettess. Absorbing Boundaries for Acoustic Wave Propagation Problems; J. Bielak, et al. Multipole-Based 3-D Infinite Elements: An Ellipsoidal Acoustic Element and a Spherical Electromagnetic Element; D.S. Burnett, R.L. Holford. A Practical Comparison of Finite Element and Boundary Element Formulations for Modeling Sound Radiation from Elastic Plates; J.-P. Coyette, L. Cremers. Approximation of Transient Hydrodynamics on Unbounded Domains Using Rational Functions; C.J. Damaren. Proof of Convergence for the Coupled Finite/Infinite Element Methods for Helmholtz Exterior Boundary-Value Problems; L. Demkowicz, F.Ihlenburg. Uses of the Berenger PML in Pseudospectral Methods for Maxwell's Equations; T.A. Driscoll, B. Fornberg. ETA Expressions for the High Frequency Impedance of a Uniformly Pulsating Submerged Torus; C.A. Felippa. Wave vs. Geometric Based Modeling of Barriers with Atmospheric Effects; K.R. Fyfe, A. Muradali. Calculation of Transient Response of Viscoelastic Unbounded Domains by Direct Boundary Element Method; L. Gaul, M. Schanz. Singly and Doubly Asymptotic Computational Boundaries; T.L. Geers. Infinite Element Methods; K. Gerdes. Optimal Local Artificial Boundary Conditions; D. Givoli, I. Patlashenko. Reduction of the Complexity of the Intrinsically Nonlinear Problem of Aerodynamic Sound Generation in an Unbounded Medium; S.M. Grace, A.D. Pierce. Transient Analysis of Wave Propagation in Unbounded Media: Space-Time Methods and Continued-Fraction Implementations; M.N. Guddati, J.L. Tasosulas. Exact and High-Order Boundary Conditions in the Time Domain; T. Hagstrom. A Variational Formulation for Partitioned Exterior Problems; I. Harari. A Systematic Approach for Constructing Asymptotic Boundary Conditions for Wave-Like Equations; S.I. Hariharan, T. Hagstrom. Experience with PML Boundary Conditions in Fluid-Flow Computations; M.E. Hayder, H.L. Atkins. Absorbing Boundary Conditions for Dispersive Waves; R.L. Higdon. Absorbing Boundary Conditions of Arbitrary Shape for the Three-Dimensional Wave Equation; L.F. Kallivokas, et al. Acoustic and Electromagnetic Scattering by Large Resonant Structures; G.A. Kriegsmann. A Comparison Between Time and Frequency Domain Approaches for Rigid Body Scattering Problems; I.C. Mathews, S. Newhouse. Optimizing the Perfectly Matched Layer; P. Monk, F. Collino. Implementing Highly Accurate Non-Reflecting Boundary Conditions for Large Scale Problems in Structural Acoustics; A.A. Oberai, et al. Progress on Highly Accurate Non-Reflecting Boundary Conditions for Finite Element Simulations of Transient Acoustics Problems; A.J. Safjan. The Scaled Boundary Finite-Element Method: Future Developments; Chongmin Song, J.P. Wolf. On the Combined Implementation of Global Boundary Conditions with Central Difference Multigrid Flow Solvers; S.V. Tsynkov. A Response Analysis of Very Large Floating Structure under Airplane Landing by FEM and a Sponge Layer for the Unbounded Domain; E. Watanabe, T. Utsunomiya. The Scaled Boundary Finite-Element Method: State of the Art; J.P. Wolf, Chongming Song. Absorbing Boundary Conditions for Domain Decomposition; B. Engquist, Hong-Kai Zhao.