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 2003

Couverture
Gary Cohen, Erkki Heikkola, Institut National de Recherche en Informatique et en Automatique, Jyväskylä yliopisto, Patrick Joly, Pekka Neittaanmäki
Springer Science & Business Media, 17 juin 2003 - 932 pages
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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 . . . . . . . . . . . . . ."
 

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Table des matières

Dispersive Properties of High Order Finite Elements
3
A Eulerian Geometric Optics Method
19
Exact and HighOrder NonReflecting
26
Mathematical Modeling and Numerical Methods
32
The Inverse Kinematic Problem in Anisotropic Media
39
Aeroacoustics of Moving Compact Bodies Application
49
Challenges and Requirements in the Modelling
60
A WebsterLokshin Model for Waves with Viscothermal
66
A Fictitious Domain Method
437
RapidlyConvergent LocalMode Representations for Wave
451
On a Method of Search for Trapped Modes
469
Long Wave Approximations for Water Waves
489
Generalized Eigenfunction Expansions
512
Simulation of Internal Waves in the Strait of Gibraltar
529
Second Order Methods for the Simulation of Pressure Waves
535
Valery G Yakhno
549

Numerical Simulation of Acoustic Waveguides
72
Regularization of the TimeHarmonic Galbruns Equations
78
Acoustic Waves Tunnelling into Whispering Gallery Waves
90
LacunaeBased Artificial Boundary Conditions
103
Active Absorbing Boundary
109
Stabilized Perfectly Matched Layer for Advective Acoustics
115
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
Simultaneous Interior Controllability of Elastic Strings
201
A Study of Numerical Methods for Boundary Control
207
A 2Grid Algorithm for the 1d Wave Equation
213
Diffraction by Locally Perturbed Acoustic Grating
221
A New Class of Integral Equations for Scattering Problems
227
Scattering by Inhomogeneities
233
Wave Reflection by a Sheet of Sea
239
Modification of Boundary Condition
245
A Domain Imbedding Method with Distributed Lagrange
252
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
379
Two Implementations of Nédélecs Mixed Finite Elements in
395
SpaceTime Regularity of the Solution
400
Electromagnetic Wave Propagation
417
On Masking Operations for the PointSource Method
567
Underground Cavity Detection Based on Elastodynamic
582
Destabilization of Inertial Waves in a Rotating Cylinder
599
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
F Geniet J Leon
705
Modelling
723
Mixed Spectral Elements for the Helmholtz Equation
743
Three Dimensional Plane Wave Basis Finite Elements
749
Numerical Simulation of Thermoelastic Wave
759
Finite Volume Methods for Wave Phase Conjugation
765
Numerical Stability of Schemes for Time Domain Scattering
776
The Use of Nonlinear Solitary Waves
782
On a Class of Preconditioners
788
Backward Error Analysis for a MultiSymplectic Integrator
799
TimePeriodic Solutions of Wave Equation via Controllability
809
Absence of Positive Eigenvalues
824
The Scattering Amplitude for the Schrödinger Operator
845
Paraxial Approximation in a Tilted Frame
862
Mathematical Analysis of Diffusion Models
873
Seismic Wave Modeling
879
An Upgrade in Linearized Modeling of Wave Propagation
891
Numerical Modeling of Pwave AVOA
899
A Time Domain Method for Modeling Wave Propagation
911
Numerical Model of Seismic Wave Propagation
922
Author Index 929
930
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