## Mathematical and Numerical Aspects of Wave Propagation WAVES 2003: Proceedings of the Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation Held at Jyvèaskylèa, Finland, 30 June-4 July 2003These proceedings include articles of the Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2003), held in Jyviiskylii, Finland, from June 30 to July 4, 2003. As in the previous five conferences in this series, its program covered a broad range of topics related to the mathematical modeling and numerical simulation of wave phenomena. Topics of specific interest included various areas of acoustics, electromagnetics, elasticity, and related optimization and inverse problems. In addition to the nine invited presentations, we selected for this confer ence 152 high-level papers from over 20 countries, especially from Europe. Most of them are contained in this book. They provide an extensive overview on the recent developments in the theoretical and applied wave propagation. The conference was organized by the University of Jyviiskylii and the Institut National de Recherche en Informatique et en Automatique (INRIA) in cooperation with Jyviiskylii Congresses. The editors would like to thank the organizing institutions and the in ternational scientific committee for their efforts in the preparation of this conference. We are also grateful to all the authors of the papers for their contributions to these proceedings. Special acknowledgment is due to Ms. Dominique Potherat, to Ms. Helene Chanut and to Ms. Marja-Leena Ranta lainen for their valuable assistance in the preparation of this proceedings volume. Jyviiskylii, Gary C. Cohen February 2003 Erkki H eikkola Patrick loly Pekka Neittaanmiiki Contents Part I Invited Presentations Dispersive Properties of High Order Finite Elements Mark Ainsworth. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 . . . . . . . . . . . . . . |

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### Contents

Dispersive Properties of High Order Finite Elements | 3 |

A Eulerian Geometric Optics Method | 19 |

Mathematical Modeling and Numerical Methods | 32 |

Aeroacoustics of Moving Compact Bodies Application | 49 |

Contents | 60 |

Regularization of the TimeHarmonic Galbruns Equations | 78 |

HighOrder Numerical Simulation of Rocket Launch Noise | 95 |

Active Absorbing Boundary | 109 |

On a Method of Search for Trapped Modes | 469 |

Long Wave Approximations for Water Waves | 489 |

Tomds Chacon Rebollo Antonio Dominguez Delgado Enrique D | 511 |

Simulation of Internal Waves in the Strait of Gibraltar | 529 |

Second Order Methods for the Simulation of Pressure Waves | 535 |

Valery G Yakhno | 549 |

Emmanuel Jalade | 562 |

Dynamic Identification of the Deformed Body Parameters | 577 |

A New Construction of Perfectly Matched Layers | 125 |

Discretely Nonreflecting Boundary Conditions | 130 |

Laplace Domain Methods for the Construction of Transparent | 148 |

Asymptotical Models for Wave Propagation | 169 |

Xu Zhang | 184 |

The Effect of Group Velocity in the Numerical Analysis | 195 |

Jan Marthedal Rasmussen | 210 |

A New Class of Integral Equations for Scattering Problems | 227 |

Modification of Boundary Condition | 245 |

DirichlettoNeumann Boundary Condition | 263 |

Generalized BrakhageWerner Integral Formulations | 268 |

Transient Scattering from Metallic Enclosures | 286 |

Numerical Analysis of Transverse Localization of Radiation | 304 |

Dealing with CrossPoints in a NonOverlapping Domain | 319 |

Mathematical Modeling of ElasticPlastic Waves | 333 |

S Gavrilov G C Herman | 346 |

Mixed Spectral Elements for the Linear Elasticity System | 365 |

Two Implementations of Nedelecs Mixed Finite Elements in | 395 |

SpaceTime Regularity of the Solution | 400 |

Electromagnetic Wave Propagation | 417 |

A Fictitious Domain Method | 437 |

RapidlyConvergent LocalMode Representations for Wave | 451 |

A Numerical Method for Solving a Class of Inverse | 593 |

Parameter Retrieval in Electron Microscopy | 607 |

On the Solution of Inverse Obstacle Acoustic | 625 |

Global and Selective Focusing Using Acoustic | 643 |

Complex Industrial Computations in Electromagnetism | 657 |

Fast Direct Solver for a Timeharmonic Electromagnetic | 675 |

Elimination of First Order Errors | 688 |

A Half Plane Problem Related to the Stability | 706 |

Modelling | 723 |

Mixed Spectral Elements for the Helmholtz Equation | 743 |

Numerical Simulation of Thermoelastic Wave | 759 |

Numerical Stability of Schemes for Time Domain Scattering | 776 |

Wavelet Analysis in Solving the Cauchy Problem | 792 |

TimePeriodic Solutions of Wave Equation via Controllability | 807 |

Absence of Positive Eigenvalues | 824 |

The Scattering Amplitude for the Schrodinger Operator | 845 |

Paraxial Approximation in a Tilted Frame | 862 |

Mathematical Analysis of Diffusion Models | 873 |

Numerical Modeling of Pwave AVOA | 899 |

Mathematical and Numerical Modeling of Wave Popagation | 916 |

Author Index | 929 |

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