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 Jyväskylä, Finland, 30 June – 4 July 2003

Front Matter....Pages I-XX
Front Matter....Pages 1-1
Dispersive Properties of High Order Finite Elements....Pages 3-10
Computing Solutions for Helmholtz Equation: Domain Versus Boundary Decomposition....Pages 11-18
A Eulerian Geometric Optics Method for High Frequency Electromagnetic Fields Computations in Presence of Fold Caustics....Pages 19-25
Exact and High-Order Non-Reflecting Computational Boundaries....Pages 26-31
Mathematical Modeling and Numerical Methods for Induction Logging Applications....Pages 32-38
The Inverse Kinematic Problem in Anisotropic Media....Pages 39-45
Front Matter....Pages 47-47
Aeroacoustics of Moving Compact Bodies Application to the Bullroarer....Pages 49-53
Numerical Simulation of a Guitar....Pages 54-59
Challenges and Requirements in the Modelling of Musical Instruments....Pages 60-65
A Webster-Lokshin Model for Waves with Viscothermal Losses and Impedance Boundary Conditions: Strong Solutions....Pages 66-71
Numerical Simulation of Acoustic Waveguides for Webster-Lokshin Model Using Diffusive Representations....Pages 72-77
Regularization of the Time-Harmonic Galbrun’s Equations....Pages 78-83
Acoustic Transmission Through a Splitter Silencer: A Technique that Avoids “Root Finding”....Pages 84-89
Acoustic Waves Tunnelling into Whispering Gallery Waves....Pages 90-94
High-Order Numerical Simulation of Rocket Launch Noise....Pages 95-100
Front Matter....Pages 101-101
Lacunae-Based Artificial Boundary Conditions for the Numerical Simulation of Unsteady Waves Governed by Vector Models....Pages 103-108
Active Absorbing Boundary for an Extended Boussinesq-Like Model....Pages 109-114
Stabilized Perfectly Matched Layer for Advective Acoustics....Pages 115-119
Long-Time Behavior of the Unsplit PML....Pages 120-124
A New Construction of Perfectly Matched Layers for Hyperbolic Systems with Applications to the Linearized Euler Equations....Pages 125-129
Front Matter....Pages 101-101
Discretely Nonreflecting Boundary Conditions for Higher Order Centered Schemes for Wave Equations....Pages 130-135
Diffusive Realization of the Impedance Operator on Circular Boundary for 2D Wave Equation....Pages 136-141
Perfectly Matched Layers for the Convected Helmholtz Equation....Pages 142-147
Laplace Domain Methods for the Construction of Transparent Boundary Conditions for Time-Harmonic Problems....Pages 148-153
Front Matter....Pages 155-155
Vibrating Systems with Concentrated Masses: On the High Frequencies and the Local Problem....Pages 157-162
Bulk and Surface Waves in Porous Media: Asymptotic Analysis....Pages 163-168
Asymptotical Models for Wave Propagation in Media Including Slots....Pages 169-173
Front Matter....Pages 175-175
Boundary Control of the Maxwell Dynamical System: Lack of Controllability by Topological Reasons....Pages 177-182
Global Exact Controllability of Semi-linear Time Reversible Systems in Infinite Dimensional Space....Pages 183-188
Some Control Problems for the Maxwell Equations Related to Furtivity and Masking Problems in Electromagnetic Obstacle Scattering....Pages 189-194
The Effect of Group Velocity in the Numerical Analysis of Control Problems for the Wave Equation....Pages 195-200
Simultaneous Interior Controllability of Elastic Strings....Pages 201-206
A Study of Numerical Methods for Boundary Control of the Wave Equation in 1D....Pages 207-212
A 2-Grid Algorithm for the 1-d Wave Equation....Pages 213-217
Front Matter....Pages 219-219
Diffraction by a Locally Perturbed Acoustic Grating....Pages 221-226
A New Class of Integral Equations for Scattering Problems....Pages 227-232
Scattering by Inhomogeneities....Pages 233-238
Wave Reflection by a Sheet of Sea Ice....Pages 239-244
Modification of Boundary Condition for the Problem of Source Radiation in a Half-Space with a Curvilinear Impedance Surface....Pages 245-251
A Domain Imbedding Method with Distributed Lagrange Multipliers for Acoustic Scattering Problems....Pages 252-256
Front Matter....Pages 219-219
A Galerkin Boundary Element Method for a High Frequency Scattering Problem....Pages 257-262
Dirichlet-to-Neumann Boundary Condition for Multiple Scattering Problems....Pages 263-267
Generalized Brakhage-Werner Integral Formulations for the Iterative Solution of Acoustics Scattering Problems....Pages 268-273
Volume Singular Integral Equations Method for Solving of Diffraction Problem of Electromagnetic Waves in Rectangular Resonator....Pages 274-279
A Coupling of Spectral and Finite Elements for an Acoustic Scattering Problem....Pages 280-285
Transient Scattering from Metallic Enclosures Using 3D Time Domain Methods....Pages 286-291
Plane Wave Basis in Integral Equation for 3D Scattering....Pages 292-297
Determination of Green’s Tensor for a Conducting Magneto-Viscoelastic Medium....Pages 298-303
Numerical Analysis of Transverse Localization of Radiation in Freely Propagating Electromagnetic Bessel Beams....Pages 304-309
Front Matter....Pages 311-311
Space-Time Mesh Refinement for the Elastodynamic Equations....Pages 313-318
Dealing with Cross-Points in a Non-Overlapping Domain Decomposition Solution of the Helmholtz Equation....Pages 319-324
On Handling the Boundary Conditions at the Infinity for Some Exterior Problems by the Alternating Schwarz Method....Pages 325-330
Front Matter....Pages 331-331
Mathematical Modeling of Elastic-Plastic Waves in Granular Media....Pages 333-338
Wave Excitation, Propagation and Diffraction in Elastic Layered Structures with Obstacles....Pages 339-344
On the Oscillation of a Punch Moving on Free Surface of an Elastic Half-Space....Pages 345-350
On the Antiplane Dynamical Problem of Elasticity Theory in a Domain with Crack....Pages 351-356
Diffusive Regime for the High-Frequency Dynamics of Randomly Heterogeneous Plates....Pages 357-362
Mixed Spectral Elements for the Linear Elasticity System in Unbounded Domains....Pages 363-368
Element-Based Node Selection Method for Reduction of Eigenvalue Problem....Pages 369-374
Front Matter....Pages 375-375
A Family of First-Order Conditions for the Long-Time Stability of the Maxwell System....Pages 377-382
Front Matter....Pages 375-375
Mass-Lumped Edge Elements for the Lossy Maxwell’s Equations....Pages 383-388
A New Discontinuous Galerkin Method for 3D Maxwell’s Equation on Non-conforming Grids....Pages 389-394
Two Implementations of Nédélec’s Mixed Finite Elements in ℝ 3 ....Pages 395-399
Space-Time Regularity of the Solution to Maxwell’s Equations in Non-Convex Domains....Pages 400-405
Maxwell’s Equations in Nonlinear Biperiodic Structures....Pages 406-411
Homogenization of the Maxwell Equations Using Floquet-Bloch Decomposition....Pages 412-416
Electromagnetic Wave Propagation Through Small Diameter Tube Bundles....Pages 417-422
Link Between the Parabolic Equation Method and Finding the Gradient Index of Refraction....Pages 423-428
Front Matter....Pages 429-429
A Fictitious Domain Method for a Unilateral Contact Problem....Pages 431-436
A Fictitious Domain Method with Operator Splitting for Wave Problems in Mixed Form....Pages 437-442
Front Matter....Pages 443-443
Mathematical Analysis of the Guided Modes of Integrated Optical Guides....Pages 445-450
Rapidly-Convergent Local-Mode Representations for Wave Propagation and Scattering in Curved-Boundary Waveguides....Pages 451-456
Riccati Equation for the Impedance of Waveguides....Pages 457-462
Eigenvalues of the Steklov Problem in an Infinite Cylinder....Pages 463-468
On a Method of Search for Trapped Modes in Domains with Cylindrical Ends....Pages 469-474
The Forced Motion of Structures that Support Trapped or Near-Trapped Water Waves....Pages 475-480
Front Matter....Pages 481-481
On the Motion of a Floating Body Supported by an Air Cushion....Pages 483-488
Long Wave Approximations for Water Waves....Pages 489-494
Oblique-Angled Periodicity Lattice in Capillary-Gravity Waves Problems....Pages 495-499
Localized Waves in a Thin Film with Growing Islands....Pages 500-505
Front Matter....Pages 481-481
Numerical Schemes for 2D Shallow Water Equations with Variable Depth and Friction Effects....Pages 506-511
Generalized Eigenfunction Expansions; an Application to Linear Water Waves....Pages 512-517
Shallow Water Wave Modelling Using a High-Order Discontinuous Galerkin Method....Pages 518-522
A Nonlinear Spectral Model for Gravity Waves Generation and Propagation in a Bounded Domain....Pages 523-528
Simulation of Internal Waves in the Strait of Gibraltar Using a Two-layer Shallow-water Model....Pages 529-534
Second Order Methods for the Simulation of Pressure Waves and Cavitation of Water....Pages 535-540
Raviart-Thomas Approximations for Variational Hydroacoustics Problems....Pages 541-546
Front Matter....Pages 547-547
1-D Inverse Problem of Thermoelasticity....Pages 549-554
Electromagnetic Propagation in Troposphere: Inverse Problem Using Optimization Approaches....Pages 555-560
Inverse Problem for a Nonlinear Helmholtz Equation....Pages 561-566
On Masking Operations for the Point-Source Method Solving Inverse Boundary Value Problems....Pages 567-572
Some Inverse Problems for the Equation — ( pu′ )′ = ⋋ ru ....Pages 573-576
Dynamic Identification of the Deformed Body Parameters....Pages 577-581
Underground Cavity Detection Based on Elastodynamic Boundary Element and Topological Derivative Approaches....Pages 582-587
Reconstruction of the Original Tsunami Waveform on the Insular Arc Bottom Topography by the Coastal Observations Inversion....Pages 588-592
A Numerical Method for Solving a Class of Inverse Eigenvalue Problems. Application to Optical Fibre Design....Pages 593-598
Destabilization of Inertial Waves in a Rotating Cylinder....Pages 599-604
Front Matter....Pages 605-605
Parameter Retrieval in Electron Microscopy by Solving an Inverse Scattering Problem....Pages 607-612
Interior Transmission Problem for Anisotropic Media....Pages 613-618
A Modified Frozen Newton Method to Identify a Cavity by Means of Boundary Measurements....Pages 619-624
Front Matter....Pages 605-605
On the Solution of Inverse Obstacle Acoustic Scattering Problems with a Limited Aperture....Pages 625-630
Resolution Estimation for Imaging and Time Reversal in Scattering Media....Pages 631-636
Inverse Scattering by Rough Surfaces in the Time Domain....Pages 637-642
Global and Selective Focusing Using Acoustic Time Reversal Mirrors in the Frequency Domain....Pages 643-648
On the Validation of the Linear Sampling Method in Electromagnetic Inverse Scattering Problems....Pages 649-654
Front Matter....Pages 655-655
Complex Industrial Computations in Electromagnetism Using the Fast Multipole Method....Pages 657-662
Using the Multipole Techniques for the Far to Near Field Transformation....Pages 663-668
Coupling of a Fast Multipole Method and a Microlocal Discretization for Integral Equations of Electromagnetism....Pages 669-674
Fast Direct Solver for a Time-harmonic Electromagnetic Problem with an Application....Pages 675-680
Front Matter....Pages 681-681
A Finite Element Method for the Solution of a Time-Dependent Nonlinear Wave Propagation Equation....Pages 683-687
Elimination of First Order Errors in Time Dependent Shock Calculations....Pages 688-693
On the Numerical Simulation of the Constrained Wave Motion: a Penalty Approach....Pages 694-699
Nonlinear Supratransmission: Energy Transmission by Nonlinear Mode Generation....Pages 700-705
A Half Plane Problem Related to the Stability of Viscous Shock Waves....Pages 706-710
The Propagation of Nonlinear Water Waves in a Bounded Domain....Pages 711-716
Homoclinic Structures for Nonlinear Integrable Wave Equations: New Approach....Pages 717-722
Nonlinear Coupled Thermomechanical Waves: Modelling Shear Type Phase Transformation in Shape Memory Alloys....Pages 723-728
Evans Function for the AKNS Problem with Algebraic Solitons....Pages 729-734
Nonlinear Focusing and Rogue Waves in Deep Water....Pages 735-740
Front Matter....Pages 741-741
Mixed Spectral Elements for the Helmholtz Equation....Pages 743-748
Front Matter....Pages 741-741
Three Dimensional Plane Wave Basis Finite Elements for Short Wave Modelling....Pages 749-753
Methods for Computing Synthetic Seismograms and Estimating Their Computational Error....Pages 754-758
Numerical Simulation of Thermoelastic Wave and Phase-Transition Front Propagation....Pages 759-764
Finite Volume Methods for Wave Phase Conjugation in Active Media....Pages 765-769
Convergence of a Collocation Scheme for a Retarded Potential Integral Equation....Pages 770-775
On the Numerical Stability of Schemes for Time Domain Scattering from a Thin Strip....Pages 776-781
The Use of Nonlinear Solitary Waves for Computing Short Wave Equation Pulses....Pages 782-787
On a Class of Preconditioners for Solving the Discrete Helmholtz Equation....Pages 788-793
Wavelet Analysis in Solving the Cauchy Problem for the Wave Equation in Three-Dimensional Space....Pages 794-798
Backward Error Analysis for a Multi-Symplectic Integrator....Pages 799-804
Time-Periodic Solutions of Wave Equation via Controllability and Fictitious Domain Methods....Pages 805-810
Front Matter....Pages 811-811
Asymptotics of Bound States, Bands and Resonances for Waveguides and Layers Coupled Through Small Windows....Pages 813-817
Spectral Theory of Resonances in Electromagnetic Gratings....Pages 818-823
Absence of Positive Eigenvalues for the Linearized Elasticity System. The Half-space Case....Pages 824-829
Optimal Design of Waveguide-Grating Resonances....Pages 830-835
Resonances of an Elastic Plate in a Confined Flow....Pages 836-841
Front Matter....Pages 843-843
The Scattering Amplitude for the Schrödinger Operator in a Layer....Pages 845-850
Adaptive Absorbing Boundary Conditions for Schrödinger-type Equations....Pages 851-856
Shallow Potential Wells for the Discrete Schrödinger Equation....Pages 857-861
Paraxial Approximation in a Tilted Frame for Laser Wave Propagation....Pages 862-867
Front Matter....Pages 843-843
Wavepacket Dynamics in Superfluid Helium....Pages 868-869
Front Matter....Pages 871-871
Mathematical Analysis of Diffusion Models in Poro-Elastic Media....Pages 873-878
Seismic Wave Modeling with the Generalized Screen Propagator....Pages 879-884
An Upgrade in Linearized Modeling of Wave Propagation....Pages 885-890
Spectral Laguerre Method for Viscoelastic Seismic Modeling....Pages 891-896
Numerical Modeling of P-wave AVOA in Media Containing Vertical Fractures....Pages 897-902
Front Matter....Pages 903-903
Uniqueness of the Solution to the Reflection-Transmission Problem in a Viscoelastic Layer....Pages 905-910
A Time Domain Method for Modeling Wave Propagation Phenomena in Viscoacoustic Media....Pages 911-915
Mathematical and Numerical Modeling of Wave Popagation in Linear Viscoelastic Media....Pages 916-921
Numerical Model of Seismic Wave Propagation in Viscoelastic Media....Pages 922-927
Back Matter....Pages 929-932