Mathematical and numerical aspects of wave propagation. WAVES 2003: proc. of the Sixth intern. conf., Finland, 30 june - 4 july 2003 / ed. by Cohen G.C. et al. - Berlin; Heidelberg: Springer, 2003. - xx, 932 p.: ill. - ISBN 3-540-40127-X  Место хранения:   015 | Библиотека Института гидродинамики CO РАН | Новосибирск

Оглавление / Contents

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