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These 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 ...
Contents
Dispersive Properties of High Order Finite Elements.- Computing Solutions for Helmholtz Equation: Domain Versus Boundary Decomposition.- A Eulerian Geometric Optics Method for High Frequency Electromagnetic Fields Computations in Presence of Fold Caustics.- Exact and High-Order Non-Reflecting Computational Boundaries.- Mathematical Modeling and Numerical Methods for Induction Logging Applications.- The Inverse Kinematic Problem in Anisotropic Media.- Aeroacoustics of Moving Compact Bodies Application to the Bullroarer.- Numerical Simulation of a Guitar.- Challenges and Requirements in the Modelling of Musical Instruments.- A Webster-Lokshin Model for Waves with Viscothermal Losses and Impedance Boundary Conditions: Strong Solutions.- Numerical Simulation of Acoustic Waveguides for Webster-Lokshin Model Using Diffusive Representations.- Regularization of the Time-Harmonic Galbrun's Equations.- Acoustic Transmission Through a Splitter Silencer: A Technique that Avoids "Root Finding".- Acoustic Waves Tunnelling into Whispering Gallery Waves.- High-Order Numerical Simulation of Rocket Launch Noise.- Lacunae-Based Artificial Boundary Conditions for the Numerical Simulation of Unsteady Waves Governed by Vector Models.- Active Absorbing Boundary for an Extended Boussinesq-Like Model.- Stabilized Perfectly Matched Layer for Advective Acoustics.- Long-Time Behavior of the Unsplit PML.- A New Construction of Perfectly Matched Layers for Hyperbolic Systems with Applications to the Linearized Euler Equations.- Discretely Nonreflecting Boundary Conditions for Higher Order Centered Schemes for Wave Equations.- Diffusive Realization of the Impedance Operator on Circular Boundary for 2D Wave Equation.- Perfectly Matched Layers for the Convected Helmholtz Equation.- Laplace Domain Methods for the Construction of Transparent Boundary Conditions for Time-Harmonic Problems.- Vibrating Systems with Concentrated Masses: On the High Frequencies and the Local Problem.- Bulk and Surface Waves in Porous Media: Asymptotic Analysis.- Asymptotical Models for Wave Propagation in Media Including Slots.- Boundary Control of the Maxwell Dynamical System: Lack of Controllability by Topological Reasons.- Global Exact Controllability of Semi-linear Time Reversible Systems in Infinite Dimensional Space.- Some Control Problems for the Maxwell Equations Related to Furtivity and Masking Problems in Electromagnetic Obstacle Scattering.- The Effect of Group Velocity in the Numerical Analysis of Control Problems for the Wave Equation.- Simultaneous Interior Controllability of Elastic Strings.- A Study of Numerical Methods for Boundary Control of the Wave Equation in 1D.- A 2-Grid Algorithm for the 1-d Wave Equation.- Diffraction by Locally Perturbed Acoustic Grating.- A New Class of Integral Equations for Scattering Problems.- Scattering by Inhomogeneities.- Wave Reflection by a Sheet of Sea Ice.- Modification of Boundary Condition for the Problem of Source Radiation in a Half-Space with a Curvilinear Impedance Surface.- A Domain Imbedding Method with Distributed Lagrange Multipliers for Acoustic Scattering Problems.- A Galerkin Boundary Element Method for a High Frequency Scattering Problem.- Dirichlet-to-Neumann Boundary Condition for Multiple Scattering Problems.- Generalized Brakhage-Werner Integral Formulations for the Iterative Solution of Acoustics Scattering Problems.- Volume Singular Integral Equations Method for Solving of Diffraction Problem of Electromagnetic Waves in Rectangular Resonator.- A Coupling of Spectral and Finite Elements for an Acoustic Scattering Problem.- Transient Scattering from Metallic Enclosures Using 3D Time Domain Methods.- Plane Wave Basis in Integral Equation for 3D Scattering.- Determination of Green's Tensor for a Conducting Magneto-Viscoelastic Medium.- Numerical Analysis of Transverse Localization of Radiation in Freely Propagating Electromagnetic Bessel Beams.- Space-Time Mesh Refinement for the Elastodynamic Equations.- Dealing with Cross-Points in a Non-Overlapping Domain Decomposition Solution of the Helmholtz Equation.- On Handling the Boundary Conditions at the Infinity for Some Exterior Problems by the Alternating Schwarz Method.- Mathematical Modeling of Elastic-Plastic Waves in Granular Media.- Wave Excitation, Propagation and Diffraction in Elastic Layered Structures with Obstacles.- On the Oscillation of a Punch Moving on Free Surface of an Elastic Half-Space.- On the Antiplane Dynamical Problem of Elasticity Theory in a Domain with Crack.- Diffusive Regime for the High-Frequency Dynamics of Randomly Heterogeneous Plates.- Mixed Spectral Elements for the Linear Elasticity System in Unbounded Domains.- Element-Based Node Selection Method for Reduction of Eigenvalue Problem.- A Family of First-Order Conditions for the Long-Time Stability of the Maxwell System.- Mass-Lumped Edge Elements for the Lossy Maxwell's Equations.- A Discontinuous Galerkin Method for 3D Maxwell's Equation on Non-conforming Grids.- Two Implementations of Nédélec's Mixed Finite Elements in ?3.- Space-Time Regularity of the Solution to Maxwell's Equations in Non-Convex Domains.- Maxwell's Equations in Nonlinear Biperiodic Structures.- Homogenization of the Maxwell Equations Using Floquet—Bloch Decomposition.- Electromagnetic Wave Propagation Through Small Diameter Tube Bundles.- Link Between the Parabolic Equation Method and Finding the Gradient Index of Refraction.- A Fictitious Domain Method for a Unilateral Contact Problem.- A Fictitious Domain Method with Operator Splitting for Wave Problems in Mixed Form.- Mathematical Analysis of the Guided Modes of Integrated Optical Guides.- Rapidly-Convergent Local-Mode Representations for Wave Propagation and Scattering in Curved-Boundary Waveguides.- Riccati Equation for the Impedance of Waveguides.- Eigenvalues of the Steklov Problem in an Infinite Cylinder.- On a Method of Search for Trapped Modes in Domains with Cylindrical Ends.- The Forced Motion of Structures that Support Trapped or Near-Trapped Water Waves.- On the Motion of a Floating Body Supported by an Air Cushion.- Long Wave Approximations for Water Waves.- Oblique-Angled Periodicity Lattice in Capillary-Gravity Waves Problems.- Localized Waves in a Thin Film with Growing Islands.- Numerical Schemes for 2D Shallow Water Equations with Variable Depth and Friction Effects.- Generalized Eigenfunction Expansions; an Application to Linear Water Waves.- Shallow Water Wave Modelling Using a High-Order Discontinuous Galerkin Method.- A Nonlinear Spectral Model for Gravity Waves Generation and Propagation in a Bounded Domain.- Simulation of Internal Waves in the Strait of Gibraltar Using a Two-layer Shallow-water Model.- Second Order Methods for the Simulation of Pressure Waves and Cavitation of Water.- Raviart-Thomas Approximations for Variational Hydroacoustics Problems.- 1-D Inverse Problem of Thermoelasticity.- Electromagnetic Propagation in Troposphere: Inverse Problem Using Optimization Approaches.- Inverse Problem for a Nonlinear Helmholtz Equation.- On Masking Operations for the Point-Source Method Solving Inverse Boundary Value Problems.- Some Inverse Problems for the Equation —(pu?)? = ?ru.- Dynamic Identification of the Deformed Body Parameters.- Underground Cavity Detection Based on Elastodynamic Boundary Element and Topological Derivative Approaches.- Reconstruction of the Original Tsunami Waveform on the Insular Arc Bottom Topography by the Coastal Observations Inversion.- A Numerical Method for Solving a Class of Inverse Eigenvalue Problems. Application to Optical Fibre Design.- Destabilization of Inertial Waves in a Rotating Cylinder.- Parameter Retrieval in Electron Microscopy by Solving an Inverse Scattering Problem.- Interior Transmission Problem for Anisotropic Media.- A Modified Frozen Newton Method to Identify a Cavity by Means of Boundary Measurements.- On the Solution of Inverse Obstacle Acoustic Scattering Problems with a Limited Aperture.- Resolution Estimation for Imaging and Time Reversal in Scattering Media.- Inverse Scattering by Rough Surfaces in the Time Domain.- Global and Selective Focusing Using Acoustic Time Reversal Mirrors in the Frequency Domain.- On the Validation of the Linear Sampling Method in Electromagnetic Inverse Scattering Problems.- Complex Industrial Computations in Electromagnetism Using the Fast Multipole Method.- Using the Multipole Techniques for the Far to Near Field Transformation.- Coupling of a Fast Multipole Method and a Microlocal Discretization for Integral Equations of Electromagnetism.- Fast Direct Solver for a Time-harmonic Electromagnetic Problem with an Application.- A Finite Element Method for the Solution of a Time-Dependent Nonlinear Wave Propagation Equation.- Elimination of First Order Errors in Time Dependent Shock Calculations.- On the Numerical Simulation of the Constrained Wave Motion: a Penalty Approach.- Nonlinear Supratransmission: Energy Transmission by Nonlinear Mode Generation.- A Half Plane Problem Related to the Stability of Viscous Shock Waves.- The Propagation of Nonlinear Water Waves in a Bounded Domain.- Homoclinic Structures for Nonlinear Integrable Wave Equations: New Approach.- Nonlinear Coupled Thermomechanical Waves: Modelling Shear Type Phase Transformation in Shape Memory Alloys.- Evans Function for the AKNS Problem with Algebraic Solitons.- Nonlinear Focusing and Rogue Waves in Deep Water.- Mixed Spectral Elements for the Helmholtz Equation.- Three Dimensional Plane Wave Basis Finite Elements for Short Wave Modelling.- Methods for Computing Synthetic Seismograms and Estimating Their Computational Error.- Numerical Simulation of Thermoelastic Wave and Phase-Transition Front Propagation.- Finite Volume Methods for Wave Phase Conjugation in Active Media.- Convergence of a Collocation Scheme for a Retarded Potential Integral Equation.- Numerical Stability of Schemes for Time Domain Scattering from a Thin Strip.- The Use of Nonlinear Solitary Waves for Computing Short Wave Equation Pulses.- On a Class of Preconditioners for Solving the Discrete Helmholtz Equation.- Wavelet Analysis in Solving the Cauchy Problem for the Wave Equation in Three-Dimensional Space.- Backward Error Analysis for a Multi-Symplectic Integrator.- Time-Periodic Solutions of Wave Equation via Controllability and Fictitious Domain Methods.- Asymptotics of Bound States, Bands and Resonances for Waveguides and Layers Coupled Through Small Windows.- Spectral Theory of Resonances in Electromagnetic Gratings.- Absence of Positive Eigenvalues for the Linearized Elasticity System. The Half-space Case.- Optimal Design of Waveguide-Grating Resonances.- Resonances of an Elastic Plate in a Confined Flow.- The Scattering Amplitude for the Schrödinger Operator in a Layer.- Adaptive Absorbing Boundary Conditions for Schrödinger-type Equations.- Shallow Potential Wells for the Discrete Schrödinger Equation.- Paraxial Approximation in a Tilted Frame for Laser Wave Propagation.- Wavepacket Dynamics in Superfluid Helium.- Mathematical Analysis of Diffusion Models in Poro-Elastic Media.- Seismic Wave Modeling with the Generalized Screen Propagator.- An Upgrade in Linearized Modeling of Wave Propagation.- Spectral Laguerre Method for Viscoelastic Seismic Modeling.- Numerical Modeling of P-wave AVOA in Media Containing Vertical Fractures.- Uniqueness of the Solution to the Reflection-Transmission Problem in a Viscoelastic Layer.- A Time Domain Method for Modeling Wave Propagation Phenomena in Viscoacoustic Media.- Mathematical and Numerical Modeling of Wave Popagation in Linear Viscoelastic Media.- Numerical Model of Seismic Wave Propagation in Viscoelastic Media.- Author Index.
