Part I Invited Presentations
Dispersive Properties of High Order Finite Elements
Mark Ainsworth ............................................... 3
Computing Solutions for Helmholtz Equation: Domain Versus
Boundary Decomposition
Mikhael Balabane ............................................ 11
A Eulerian Geometric Optics Method for High Frequency
Electromagnetic Fields Computations in Presence of Fold
Caustics
Jean-David Benamou, Olivier Lafitte, Remi Sentis,
Ian Solliec ................................................. 19
Exact and High-Order Non-Reflecting Computational
Boundaries
Dan Givoli .................................................. 26
Mathematical Modeling and Numerical Methods for Induction
Logging Applications
Alexander Bespalov, Yuri A. Kuznetsov, Lev Tabarovsky ....... 32
The Inverse Kinematic Problem in Anisotropic Media
Gunther Uhlmann ............................................. 39
Part II Acoustic Waves
Aeroacoustics of Moving Compact Bodies Application to the
Bullroarer
Michel Roger, Stephane Aubert ............................... 49
Numerical Simulation of a Guitar
Eliane Becache, Antoine Chaigne, Gregoire Derveaux,
Patrick Joly ................................................ 54
Challenges and Requirements in the Modelling of Musical
Instruments
Antoine Chaigne ............................................. 60
A Webster-Lokshin Model for Waves with Viscothermal Losses
and Impedance Boundary Conditions: Strong Solutions
Houssem Haddar, Thomas Belie, Denis Matignon ................ 66
Numerical Simulation of Acoustic Waveguides
for Webster-Lokshin Model Using Diffusive Representations
Thomas Belie, Denis Matignon ................................ 72
Regularization of the Time-Harmonic Galbrun's Equations
Anne-Sophie Bonnet-Ben Dhia, Guillaume Legendre, Eric
Luneville ................................................... 78
Acoustic Transmission Through a Splitter Silencer:
A Technique that Avoids "Root Finding"
Jane B. Lawrie .............................................. 84
Acoustic Waves Tunnelling into Whispering Gallery Waves
Ivan V. Andronov ............................................ 90
High-Order Numerical Simulation of Rocket Launch Noise
Bernhard Milller, Johan Westerlund .......................... 95
Part III Artificial Boundary Conditions
Lacunae-Based Artificial Boundary Conditions for the
Numerical Simulation of Unsteady Waves Governed by
Vector Models
Semyon V. Tsynkov .......................................... 103
Active Absorbing Boundary for an Extended Boussinesq-
Like Model
Philippe Sergent, Patrick Gomi, Khouane Meftah ............. 109
Stabilized Perfectly Matched Layer for Advective Acoustics
Julien Diaz, Patrick Joly .................................. 115
Long-Time Behavior of the Unsplit PML
Eliane Becache, Peter G. Petropoulos, Stephen D. Gedney .... 120
A New Construction of Perfectly Matched Layers for
Hyperbolic Systems with Applications to the Linearized
Euler Equations
Thomas Bagstrom ............................................ 125
Discretely Nonrefiecting Boundary Conditions for Higher
Order Centered Schemes for Wave Equations
Daniel Appelö, Gunilla Kreiss .............................. 130
Diffusive Realization of the Impedance Operator on Circular
Boundary for 2D Wave Equation
David Levadoux, Gerard Montseny ............................ 136
Perfectly Matched Layers for the Convected Helmholtz
Equation
Eliane Becache, Anne-Sophie Bonnet-Ben Dhia, Guillaume
Legendre ................................................... 142
Laplace Domain Methods for the Construction of Transparent
Boundary Conditions for Time-Harmonic Problems
Thorsten Hohage ............................................ 148
Part IV Asymptotic Analysis
Vibrating Systems with Concentrated Masses: On the High
Frequencies and the Local Problem
Eugenia Perez .............................................. 157
Bulk and Surface Waves in Porous Media: Asymptotic
Analysis
Inna Edelman ............................................... 163
Asymptotical Models for Wave Propagation in Media
Including Slots
Patrick Joly, Marc Lenoir, Sebastien Tordeux ............... 169
Part V Control
Boundary Control of the Maxwell Dynamical System: Lack
of Controllability by Topological Reasons
M. Belishev, A. Glasman .................................... 177
Global Exact Controllability of Semi-linear Time
Reversible Systems in Infinite Dimensional Space
Xu Zhang ................................................... 183
Some Control Problems for the Maxwell Equations Related
to Furtivity and Masking Problems in Electromagnetic
Obstacle Scattering
Lorella Fatone, Maria Cristina Recchioni, Francesco
Zirilli .................................................... 189
The Effect of Group Velocity in the Numerical Analysis
of Control Problems for the Wave Equation
Fabricio Macia ............................................. 195
Simultaneous Interior Controllability of Elastic Strings
Rene Ddger ................................................. 201
A Study of Numerical Methods for Boundary Control of the
Wave Equation in ID
Jan Marthedal Rasmussen .................................... 207
A 2-Grid Algorithm for the 1-d Wave Equation
Mihaela Negreanu, Enrique Zuazua ........................... 213
Part VI Direct Scattering
Diffraction by Locally Perturbed Acoustic Grating
Anne-Sophie Bonnet-Ben Dhia, Karim Ramdani ................. 221
A New Class of Integral Equations for Scattering Problems
David Levadoux, Bas Michielsen ............................. 227
Scattering by Inhomogeneities
P.A. Martin ................................................ 233
Wave Reflection by a Sheet of Sea Ice
С.М. Linton, Hyuck Chung ................................... 239
Modification of Boundary Condition for the Problem
of Source Radiation in a Half-Space with a Curvilinear
Impedance Surface
Lev P. Kogan, V.V. Tamoikin, Т.М. Zaboronkova .............. 245
A Domain Imbedding Method with Distributed Lagrange
Multipliers for Acoustic Scattering Problems
Erkki Heikkola, Tuomo Rossi, Jari Toivanen ................. 252
A Galerkin Boundary Element Method for a High Frequency
Scattering Problem
Simon Chandler- Wilde, Stephen Langdon, Lars Ritter ........ 257
Dirichlet-to-Neumann Boundary Condition for Multiple
Scattering Problems
Marcus J. Grote, Christoph Kirsch .......................... 263
Generalized Brakhage-Werner Integral Formulations
for the Iterative Solution of Acoustics Scattering
Problems
Xavier Antoine, Marion Darbas .............................. 268
Volume Singular Integral Equations Method for Solving
of Diffraction Problem of Electromagnetic Waves in
Rectangular Resonator
Youri Smirnov, Alexei Tsupak ............................... 274
A Coupling of Spectral and Finite Elements for an
Acoustic Scattering Problem
Salim Meddahi, Antonio Mdrquez, Virginia Selgas ............ 280
Transient Scattering from Metallic Enclosures Using 3D
Time Domain Methods
J.L. Silveira, S. Benhassine, L. Pichon, A. Raizer ......... 286
Plane Wave Basis in Integral Equation for 3D Scattering
Emmanuel Perrey-Debain, Jon Trevelyan, Peter Bettess ....... 292
Determination of Green's Tensor for a Conducting Magneto-
Viscoelastic Medium
Gayatri Chattopadhyay, R.K. Bhattacharyya .................. 298
Numerical Analysis of Transverse Localization of
Radiation in Freely Propagating Electromagnetic
Bessel Beams
Peep Adamson ............................................... 304
Part VII Domain Decomposition Methods
Space-Time Mesh Refinement for the Elastodynamic Equations
Eliane Becache, Patrick Joly, Jeronimo Rodriguez ........... 313
Dealing with Cross-Points in a Non-Overlapping Domain
Decomposition Solution of the Helmholtz Equation
Y. Boubendir, A. Bendali ................................... 319
On Handling the Boundary Conditions at the Infinity
for Some Exterior Problems by the Alternating Schwarz Method
F. Ben Belgacem, N. Gmati, M. Fournie, F. Jelassi .......... 325
Part VIII Elastic Waves
Mathematical Modeling of Elastic-Plastic Waves in
Granular Media
Vladimir Sadovskii, Oxana Sadovskaya ....................... 333
Wave Excitation, Propagation and Diffraction in
Elastic Layered Structures with Obstacles
Evgeny Glushkov, Natalya Glushkova, Alexander Ekhlakov ..... 339
On the Oscillation of a Punch Moving on Free Surface
of an Elastic Half-Space
S. Gavrilov, G.C. Herman ................................... 345
On the Antiplane Dynamical Problem of Elasticity Theory
in a Domain with Crack
Serguei Matioukevitch ...................................... 351
Diffusive Regime for the High-Frequency Dynamics of
Randomly Heterogeneous Plates
Eric Savin ................................................. 357
Mixed Spectral Elements for the Linear Elasticity
System in Unbounded Domains
Gary Cohen, Sandrine Fauqueux .............................. 363
Element-Based Node Selection Method for Reduction of
Eigenvalue Problem
Maenghyo Cho, Hyungi Kim ................................... 369
Part IX Electromagnetism
A Family of First-Order Conditions for the Long-Time
Stability of the Maxwell System
Helene Barucq .............................................. 377
Mass-Lumped Edge Elements for the Lossy Maxwell's
Equations
Gary Cohen, Xavier Ferrieres, Peter Monk, Sebastien
Pernet ..................................................... 383
A Discontinuous Galerkin Method for 3D Maxwell's Equation
on Non-conforming Grids
Nicolas Canouet, Loula Fezoui, Serge Piperno ............... 389
Two Implementations of Nedelec's Mixed Finite Elements
in  3
Kevin Rogovin, Janne Martikainen ........................... 395
Space-Time Regularity of the Solution to Maxwell's Equations
in Non-Convex Domains
Emmanuelle Garcia, Simon Labrunie .......................... 400
Maxwell's Equations in Nonlinear Biperiodic Structures
Gang Bao, Aurelia Minut, Zhengfang Zhou .................... 406
Homogenization of the Maxwell Equations Using Floquet-
Bloch Decomposition
Christian Engström, Gerhard Kristensson, Daniel Sjöberg,
David J.L. Wall, Niklas Wellander .......................... 412
Electromagnetic Wave Propagation Through Small Diameter
Tube Bundles
J. David Abrahams, Gregory A. Kriegsmann ................... 417
Link Between the Parabolic Equation Method and Finding
the Gradient Index of Refraction
Francisco Varela ........................................... 423
Part X Fictitious Domain Methods
A Fictitious Domain Method for a Unilateral Contact Problem
Eliane Becache, Patrick Joly, Gilles Scarella .............. 431
A Fictitious Domain Method with Operator Splitting for
Wave Problems in Mixed Form
Vrushali Bokil, Roland Glowinski ........................... 437
Part XI Guided Waves
Mathematical Analysis of the Guided Modes of Integrated
Optical Guides
Evgueni Kartchevski, George Hanson ......................... 445
Rapidly-Convergent Local-Mode Representations for Wave
Propagation and Scattering in Curved-Boundary Waveguides
Gerassimos A. Athanassoulis, Konstadinos A. Belibassakis ... 451
Riccati Equation for the Impedance of Waveguides
Isabelle Champagne, Jacques Henry .......................... 457
Eigenvalues of the Steklov Problem in an Infinite Cylinder
Oleg V. Motygin, Nikolay G. Kuznetsov ...................... 463
On a Method of Search for Trapped Modes in Domains
with Cylindrical Ends
Viktor 0. Kalvine, Pekka Neittaanmaki, Boris A.
Plamenevskii ............................................... 469
The Forced Motion of Structures that Support Trapped
or Near-Trapped Water Waves
P. Mclver, M. Mclver ....................................... 475
Part XII Hydrodynamics and Gravity Waves
On the Motion of a Floating Body Supported by an Air
Cushion
Nikolay Kuznetsov .......................................... 483
Long Wave Approximations for Water Waves
Jerry Bona, Thierry Colin, David Lannes .................... 489
Oblique-Angled Periodicity Lattice in Capillary-Gravity
Waves Problems
Irina Konopleva, Boris Loginov ............................. 495
Localized Waves in a Thin Film with Growing Islands
Dmitry Indeitsev, Yulia Moehalova .......................... 500
Numerical Schemes for 2D Shallow Water Equations with
Variable Depth and Friction Effects
Tomds Chacon Rebollo, Antonio Dominguez Delgado,
Enrique D. Fernandez Nieto ................................. 506
Generalized Eigenfunction Expansions; an Application
to Linear Water Waves
Christophe Hazard, Francois Loret .......................... 512
Shallow Water Wave Modelling Using a High-Order
Discontinuous Galerkin Method
Claes Eskilsson, Spencer J. Sherwin, Lars Bergdahl ......... 518
A Nonlinear Spectral Model for Gravity Waves Generation
and Propagation in a Bounded Domain
Felieien Bonnefoy, David Le Touze, Pierre Ferrant .......... 523
Simulation of Internal Waves in the Strait of Gibraltar
Using a Two-layer Shallow-water Model
M.J. Castro, J.A. Garcia-Rodriguez, J.M. Gonzalez-Vida,
J. Macias, C. Pares, M.E. Vazquez-Сendon ................... 529
Second Order Methods for the Simulation of Pressure
Waves and Cavitation of Water
Anselm Berg, Uwe Iben, Andreas Meister ..................... 535
Raviart-Thomas Approximations for Variational
Hydroacoustics Problems
Artem Shynkarenko, Vitaly Horlatch ........................ 541
Part XIII Inverse Problems
1-D Inverse Problem of Thermoelasticity
Valery G. Yakhno ........................................... 549
Electromagnetic Propagation in Troposphere: Inverse
Problem Using Optimization Approaches
Mohamed Yassine Ayari, Arnaud Coatanhay, All Khenchaf ...... 555
Inverse Problem for a Nonlinear Helmholtz Equation
Emmanuel Jalade ............................................ 561
On Masking Operations for the Point-Source Method Solving
Inverse Boundary Value Problems
Klaus Erhard, Roland Potthast .............................. 567
Some Inverse Problems for the Equation —(pu')' = λru
Anton Monsef ............................................... 573
Dynamic Identification of the Deformed Body Parameters
Alexander Kravchuk, Pekka Neittaanmäki ..................... 577
Underground Cavity Detection Based on Elastodynamic
Boundary Element and Topological Derivative Approaches
Marc Bonnet, Bojan B. Guzina, Sylvain Nintcheu Fata ........ 582
Reconstruction of the Original Tsunami Waveform on
the Insular Arc Bottom Topography by the Coastal
Observations Inversion
Tatjana Voronina, Veacheslav Gusjakov, Vladimir
Tcheverda .................................................. 588
A Numerical Method for Solving a Class of Inverse
Eigenvalue Problems. Application to Optical Fibre Design
Chokri Bekkey, Rabia Djellouli, Mouna Youssef .............. 593
Destabilization of Inertial Waves in a Rotating Cylinder
Y.Duguet, J.F. Scott, L. Le Penven ......................... 599
Part XIV Inverse Scattering
Parameter Retrieval in Electron Microscopy by Solving
an Inverse Scattering Problem
Kurt Scheerschmidt ......................................... 607
Interior Transmission Problem for Anisotropic Media
Fioralba Cakoni, Houssem Haddar ............................ 613
A Modified Frozen Newton Method to Identify a Cavity
by Means of Boundary Measurements
Tuong Ha-Duong, Mohamed Jaoua, Faiza Menif ................. 619
On the Solution of Inverse Obstacle Acoustic Scattering
Problems with a Limited Aperture
Rabia Djellouli, Radek Tezaur, Charbel Farhat .............. 625
Resolution Estimation for Imaging and Time Reversal
in Scattering Media
Liliana Borcea, George Papanicolaou, Chrysoula Tsogka ...... 631
Inverse Scattering by Rough Surfaces in the Time Domain
Claire Lines, Simon Chandler-Wilde ......................... 637
Global and Selective Focusing Using Acoustic Time
Reversal Mirrors in the Frequency Domain
Christophe Hazard, Karim Ramdan ............................ 643
On the Validation of the Linear Sampling Method in
Electromagnetic Inverse Scattering Problems
Francis Collino, M'Barek Fares, Houssem Haddar ............. 649
Part XV Multipole Methods and Fast Solvers
Complex Industrial Computations in Electromagnetism
Using the Fast Multipole Method
Guillaume Sylvand .......................................... 657
Using the Multipole Techniques for the Far to Near
Field Transformation
Nathalie Bartoli, Francis Collino, Fabrice Dodu ............ 663
Coupling of a Fast Multipole Method and a Microlocal
Discretization for Integral Equations of Electromagnetism
Alain Bachelot, Eric Darrigrand, Katherine Mer-Nkonga ...... 669
Fast Direct Solver for a Time-harmonic Electromagnetic
Problem with an Application
Janne Martikainen, Tuomo Rossi, Kevin Rogovin, Jari
Toivanen ................................................... 675
Part XVI Nonlinear Waves
A Finite Element Method for the Solution of a Time-Dependent
Nonlinear Wave Propagation Equation
C.J. E. M. Fortes, J.L.M. Fernandes, M.A. Vaz dos Santos ... 683
Elimination of First Order Errors in Time Dependent Shock
Calculations
Malin Siklosi, Gunilla Kreiss .............................. 688
On the Numerical Simulation of the Constrained Wave Motion:
a Penalty Approach
Roland Glowinski, Alexander Lapin, Serguei Lapin ........... 694
Nonlinear Supratransmission: Energy Transmission by
Nonlinear Mode Generation
F. Geniet, J. Leon ......................................... 700
A Half Plane Problem Related to the Stability of Viscous
Shock Waves
Gunilla Kreiss, Heinz-Otto Kreiss .......................... 706
The Propagation of Nonlinear Water Waves in a Bounded
Domain Beatrice Pelloni ....................................... 711
Homoclinic Structures
for Nonlinear Integrable Wave Equations: New Approach
E.V. Doktorov, V.M. Rothos ................................. 717
Nonlinear Coupled Thermomechanical Waves: Modelling
Shear Type Phase Transformation in Shape Memory Alloys
Linxiang Wang, Roderick Melnik ............................. 723
Evans Function for the AKNS Problem with Algebraic
Solitons
Dmitry E. Pelinovsky, Vassilis M. Rothos .................. 729
Nonlinear Focusing and Rogue Waves in Deep Water
С.М. Schober ............................................... 735
Part XVII Numerical Methods
Mixed Spectral Elements for the Helmholtz Equation
Gary Cohen, Marc Durufle ................................... 743
Three Dimensional Plane Wave Basis Finite Elements for
Short Wave Modelling
Omar Laghrouche, Peter Bettess, Jon Trevelyan .............. 749
Methods for Computing Synthetic Seismograms and
Estimating Their Computational Error
Robert J. Geller, Nozomu Takeuchi, Hiromitsu Mizutani,
Nobuyasu Hirabayashi ....................................... 754
Numerical Simulation of Thermoelastic Wave and Phase-
Transition Front Propagation
Arkadi Berezovski, Jiiri Engelbrecht, Gerard A. Maugin ..... 759
Finite Volume Methods for Wave Phase Conjugation in Active
Media
Alain Merlen, Peter Voinovitch, Vladimir
Preobrazhensky, Philippe Pernod ............................ 765
Convergence of a Collocation Scheme for a Retarded Potential
Integral Equation
Dugald В Duncan, Penny J. Davies ........................... 770
Numerical Stability of Schemes for Time Domain Scattering
from a Thin Strip
Penny J. Davies ............................................ 776
The Use of Nonlinear Solitary Waves for Computing Short
Wave Equation Pulses
John Steinhoff, Meng Fan, Lesong Wang, Min Xiao ............ 782
On a Class of Preconditioners for Solving the Discrete
Helmholtz Equation
Y.A. Erlangga, C. Vuik, C.W. Oosterlee ..................... 788
Wavelet Analysis in Solving the Cauchy Problem for
the Wave Equation in Three-Dimensional Space
Maria V. Perel, Mikhail S. Sidorenko ....................... 794
Backward Error Analysis for a Multi-Symplectic Integrator
A.L. Islas, C.M. Schober ................................... 799
Time-Periodic Solutions of Wave Equation via
Controllability and Fictitious Domain Methods
Roland Glowinski, Jacques Periaux, Jari Toivanen ........... 805
Part XVIII Resonances
Asymptotics of Bound States, Bands and Resonances for
Waveguides and Layers Coupled Through Small Windows
Igor Yu. Popov ............................................. 813
Spectral Theory of Resonances in Electromagnetic Gratings
H. Paul Urbach ............................................. 818
Absence of Positive Eigenvalues for the Linearized
Elasticity System. The Half-space Case
Mourad Sini ................................................ 824
Optimal Design of Waveguide-Grating Resonances
Gang Bao, Kai Huang ........................................ 830
Resonances of an Elastic Plate in a Confined Flow
A.S. Bonnet-Ben Dhia, J.-F. Mercier ........................ 836
Part XIX Schrödinger Equations
The Scattering Amplitude for the Schrödinger Operator
in a Layer
Michel Cristofol, Patricia Gaitan .......................... 845
Adaptive Absorbing Boundary Conditions for Schrödinger-
type Equations
J. Alonso-Mallo, N. Reguera ................................ 851
Shallow Potential Wells for the Discrete Schrödinger
Equation
Joel A. Rodriguez-Сeballos, Peter N. Zhevandrov ............ 857
Paraxial Approximation in a Tilted Frame for Laser Wave
Propagation
Remi Sentis, Marie Doumic, Frangois Golse .................. 862
Wavepacket Dynamics in Superfluid Helium
Lauri Lehtovaara, Jussi Eloranta ........................... 868
Part XX Seismic Waves
Mathematical Analysis of Diffusion Models in Poro-Elastic
Media
Helene Barucq, Monique Madaune-Tort, Patrick Saint-
Macary ..................................................... 873
Seismic Wave Modeling with the Generalized Screen Propagator
Frank Prat, Helene Barucq, Bertrand Duquet ................. 879
An Upgrade in Linearized Modeling of Wave Propagation
Florence Delprat-Jannaud, Laure Pelle, Patrick Lailly ...... 885
Spectral Laguerre Method for Viscoelastic Seismic Modeling
Boris Mikhailenko, Alexander Mikhailov, Galina Reshetova ... 891
Numerical Modeling of P-wave AVOA in Media Containing
Vertical Fractures
Tatiana Chichinina, Vladimir Sabinin, Gerardo Ronquillo
Jarillo .................................................... 897
Part XXI Viscoelasticity
Uniqueness of the Solution to the Reflection-Transmission
Problem in a Viscoelastic Layer
Angelo Morro ............................................... 905
A Time Domain Method for Modeling Wave Propagation
Phenomena in Viscoacoustic Media
Jean-Philippe Groby, Chrysoula Tsogka ...................... 911
Mathematical and Numerical Modeling of Wave Popagation
in Linear Viscoelastic Media
Eliane Becache, Abdelaaziz Ezziani, Patrick Joly ........... 916
Numerical Model of Seismic Wave Propagation in
Viscoelastic Media
Vladimir Sabinin, Tatiana Chichinina, Gerardo
Ronquillo Jarillo .......................................... 922
Author Index .................................................. 929
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