IUTAM Symposium on Computational Methods for Unbounded Domains

1. Front Matter

   Pages i-xv

   PDF

2. Benchmark Problems

   • Thomas L. Geers

   Pages 1-9

3. Recent Advances in Applying Wave-Envelope Elements to Unbounded Wave Problems

   • R. J. Astley

   Pages 11-20

4. Water-Wave Green’s Function For a 3D Uneven-Bottom Problem with Different Depths at x → +∞ and x → −∞

   • Gerassimos A. Athanassoulis, Konstadinos A. Belibassakis

   Pages 21-32

5. New Mapped Wave Infinite Element and Diffraction of Waves by Elliptical Cylinders of Varying Aspect Ratio

   • Jacqueline A. Bettess, Peter Bettess

   Pages 33-42

6. Absorbing Boundaries for Acoustic Wave Propagation Problems

   • Jacobo Bielak, Loukas F Kallivokas, Richard C. MacCamy

   Pages 43-51

7. Multipole-Based 3-D Infinite Elements: An Ellipsoidal Acoustic Element and a Spherical Electromagnetic Element

   • David S. Burnett, Richard L. Holford

   Pages 53-62

8. A Practical Comparison of Finite Element and Boundary Element Formulations for Modeling Sound Radiation from Elastic Plates

   • Jean-Pierre Coyette, Luc Cremers

   Pages 63-72

9. Approximation of Transient Hydrodynamics on Unbounded Domains Using Rational Functions

   • Christopher J. Damaren

   Pages 73-82

10. Proof of Convergence for the Coupled Finite/Infinite Element Methods for Helmholtz Exterior Boundary-Value Problems

    • Leszek Demkowicz, Frank Ihlenburg

    Pages 83-93

11. Uses of the Berenger PML in Pseudospectral Methods for Maxwell’s Equations

    • Tobin A. Driscoll, Bengt Fornberg

    Pages 95-102

12. ETA Expressions for the High Frequency Impedance of a Uniformly Pulsating Submerged Torus

    • C. A. Felippa

    Pages 103-110

13. Wave vs. Geometric Based Modeling of Barriers with Atmospheric Effects

    • Ken R. Fyfe, Amir Muradali

    Pages 111-123

14. Calculation of Transient Response of Viscoelastic Unbounded Domains by Direct Boundary Element Method

    • Lothar Gaul, Martin Schanz

    Pages 125-133

15. Singly and Doubly Asymptotic Computational Boundaries

    • Thomas L. Geers

    Pages 135-141

16. Infinite Element Methods

    • K. Gerdes

    Pages 143-150

17. Optimal Local Artificial Boundary Conditions

    • Dan Givoli, Igor Patlashenko

    Pages 151-158

18. Reduction of the Complexity of the Intrisically Nonlinear Problem of Aerodynamic Sound Generation in an Unbounded Domain

    • Sheryl M. Grace, Allan D. Pierce

    Pages 159-168

19. Transient Analysis of Wave Propagation in Unbounded Media: Space-Time Methods and Continued-Fraction Implementations

    • Murthy N. Guddati, John L. Tassoulas

    Pages 169-178

20. Exact and High-Order Boundary Conditions in the Time Domain

    • Thomas Hagstrom

    Pages 179-186

During 27-31 July 1997, thirty-seven researchers in acoustics, aeronautics, elastodynamics, electromagnetics, hydrodynamics and mathematics participated in a Symposium on Computa­ tional Methods for Unbounded Domains. The symposium was sponsored by the International Union of Theoretical and Applied Mechanics and was held at the University of Colorado in the United States of America. The symposium was opened by Dr. Richard Byyny, Chancellor of the University's Boulder Campus, who concluded his remarks by reading a letter from Professor Bruno A. Boley, JUT AM Representative on the Scientific Committee. 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 aero­ dynamics. Approximately two-thirds of the papers addressed steady-state problems, with the rest treating problems in the time domain. Extended abstracts of the papers appear in this volume, arranged in alphabetical order according to the last name of the presenting author. A key unifying aspect of the symposium was the creation of four working groups that labored in parallel to formulate benchmark problems for evaluating computational boundaries. The working groups reviewed the papers presented each day, searching for benchmark candidates. Then they considered other possibilites and organized the ensemble into logical categories. At the end of the symposium, each group presented its benchmark candidates to the assembly of participants, which subsequently made a preliminary consolidation of the benchmarks.

• 3D
• Analysis
• Maxwell's equations
• Wave
• complexity
• electromagnetic wave
• modeling
• simulation
• wave equation

• Department of Mechanical Engineering, University of Colorado, Boulder, USA

  Thomas L. Geers

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