Large-scale structures in acoustics and electromagnetics : proceedings of a symposium / / Board on Mathematical Sciences, Commission on Physical Sciences, Mathematics, and Applications, National Research Council

• Pubblicazione: Washington, D.C., : National Academy Press, 1996
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (264 p.)
• Disciplina: 620.2/01/51
• Soggetto topico: Structural analysis (Engineering) - Mathematical models; Large scale systems - Mathematical models; Acoustical engineering - Mathematical models; Electromagnetism - Mathematical models
• Note generali: Symposium held on September 26-27, 1994, in Washington, D.C.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Large-Scale Structures in Acoustics and Electromagnetics -- Copyright -- Preface -- Contents -- Opening Remarks -- Introduction -- 1 High-Order, Multilevel, Adaptive Time-Domain Methods For Structural Acoustics Simulations -- INTRODUCTION -- A FLUID-SOLID INTERACTION PROBLEM -- Statement of the Problem -- Velocity-Displacement Formulation -- Velocity-Stress Formulation -- HIGH-ORDER TAYLOR-GALERKIN (TG) METHODS -- Approximation in Time -- Approximation in Space -- HIGHLY ABSORBING BOUNDARY CONDITIONS -- Model Problem -- A Family of Highly Absorbing Boundary Conditions -- Remarks: -- Operators And For Taylor-Galerkin Schemes -- ADAPTIVITY -- A FREQUENCY-DOMAIN APPROACH -- The Galerkin-Burton-Miller Formulation -- NUMERICAL EXAMPLES -- Example 1: Diffraction of a Plane Wave from an Elastic Cylindrical Shell (2D) -- Acoustic Fluid -- Elastic Cylinder -- Example 2: The Vibrating Cylinder Problem -- Example 3: The Coupled FE/BE Methods versus the Time-Domain Method -- ACKNOWLEDGMENT -- REFERENCES -- 2 Distributed Feedback Resonators -- INTRODUCTION -- THE EQUATIONS OF DISTRIBUTED FEEDBACK GRATING -- THE REFLECTION FILTER -- THE QUARTER WAVE SHIFTED DFB RESONATOR -- SIDE-COUPLED RESONATORS -- PHOTONIC BANDGAP CRYSTALS -- REFERENCES -- 3 Acoustic, Elastodynamic, and Electromagnetic Wavefield Computation-A Structured Approach Based on Reciprocity -- INTRODUCTION -- THE BASIC FIELD EQUATIONS -- Notation -- The First-order System of Wave Equations -- The Reciprocity Concatenation Matrices -- Point-source Solutions -- Green's Tensors -- THE RECIPROCITY THEOREMS -- The Reciprocity Theorem of the Time-convolution Type -- The Reciprocity Theorem of the Time-correlation Type -- Reciprocity Property of the Causal Green's Tensor -- EMBEDDING PROCEDURE, CONTRAST-PROPERTIES FORMULATION -- Contrast Formulation for Finite-element/Finite-difference Modeling. ; Contrast Formulation for Integral-equation/Method-of-Moments Modeling -- FINITE-ELEMENT/FINITE-DIFFERENCE MODELING -- Embedding Procedure -- METHOD-OF-MOMENTS MODELING -- COMPLEX FREQUENCY-DOMAIN MODELING OF WAVE PROBLEMS -- CONCLUDING REMARKS -- ACKNOWLEDGMENT -- REFERENCES -- APPENDIX 3A. STRUCTURE OF THE SPATIAL DIFFERENTIAL OPERATOR -- Acoustic Waves in Fluids -- Elastic Waves in Solids -- Electromagnetic Waves -- 4 Numerical Modeling of the Interactions of Ultrafast Optical Pulses with Nonresonant and Resonant Materials and Structures -- INTRODUCTION -- MAXWELL EQUATIONS SOLVER FOR LINEAR DISPERSIVE MEDIA -- MAXWELL'S EQUATION SOLVER IN LINEAR AND NONLINEAR MEDIA -- MAXWELL'S EQUATION SOLVER IN MULTILEVEL ATOM MEDIUM -- CONCLUSIONS -- REFERENCES -- 5 Algorithmic Aspects And Supercomputing Trends In Computational Electromagnetics -- INTRODUCTION -- Computational Electromagnetics -- Objectives -- CEM Issues -- Maxwell's Equations -- Finite-Volume Treatment -- Space/Time Discretization -- Polynomial Representation and Least Squares -- The Unstructured Second-Order Algorithm -- Material Properties -- Resistance Cards -- Perfectly Conducting Surface -- Lossy Materials and Dispersive Media -- Impedance Boundaries -- Anisotropic Media -- Chiral Media -- Cracks, Gaps, and Wires -- Boundary Conditions -- Perfect Conductors -- Outer Boundaries -- Material Interface -- Geometry/Gridding -- Massively Parallel Computing -- Validation -- PRESENT CEM CAPABILITY -- ACKNOWLEDGMENT -- REFERENCE -- 6 Adaptive Finite Element Methods for the Helmholtz Equation in Exterior Domains -- INTRODUCTION -- Adaptive Methods -- PROBLEM STATEMENT AND ADAPTIVE SOLUTION METHODOLOGIES -- Problem Statement -- Adaptive Solution Methodologies -- Mesh Generation -- Finite Element Formulations -- A Posteriori Error Estimation -- Hp-Adaptive Strategy -- Remarks:. ; NONUNIFORM RADIATION FROM A RIGID INFINITE CIRCULAR CYLINDER -- Galerkin Results -- Remarks: -- GLS Results -- CONCLUSIONS -- ACKNOWLEDGMENT -- REFERENCES -- 7 Modeling of Optically "Assisted" Phased Array Radar -- INTRODUCTION -- STATE-OF-THE-ART INDUSTRIAL MODELING -- VLSI Design -- Microwave System Design -- Optical System Analysis -- RECENT MODELING RESULTS FROM GWOL -- SOME CONCLUDING REMARKS -- REFERENCES -- 8 Synthesis And Analysis Of Large-Scale Integrated Photonic Devices And Circuits -- INTRODUCTION -- INVERSE SCATTERING THEORY -- DESIGN EXAMPLE 1: ZERO REFLECTION COEFFICIENT -- DESIGN EXAMPLE 2: NON-ZERO REFLECTION COEFFICIENT -- DESIGN EXAMPLE 3: NONRATIONAL REFLECTION COEFFICIENT -- Discretization of the G-L-M Equation -- Iteration Scheme With Relaxation -- Initial Values For K(x, t) -- Reconstruction of the Potential v(x) -- DISCUSSION -- REFERENCES -- 9 Design and Analysis of Finite Element Methods for Transient and Time-Harmonic Structural Acoustics -- INTRODUCTION -- THE TRANSIENT STRUCTURAL ACOUSTICS PROBLEM -- SPACE-TIME FINITE ELEMENT FORMULATION -- Finite Element Discretization -- Trial structural displacements -- Trial fluid potential -- SPACE-TIME VARIATIONAL EQUATIONS -- Exact Nonreflecting Boundary Conditions -- ANALYSIS OF THE SPACE-TIME FORMULATION -- Stability Analysis -- Galerkin Least-Squares Stabilization -- Convergence Analysis -- REPRESENTATIVE NUMERICAL EXAMPLE -- ITERATIVE SOLUTION OF LARGE-SCALE TIME-HARMONIC PROBLEMS -- Model Boundary Value Problem -- H-HIERARCHICAL BASIS PRECONDITIONER -- Formulation of the Preconditioner -- Implementation Issues -- Selection of Multiple Levels -- Matrix-Free Computations -- REPRESENTATIVE NUMERICAL EXAMPLES -- CONCLUSION -- REFERENCES -- 10 An Overview of the Application of the Method of Moments to Large Bodies in Electromagnetics -- INTRODUCTION. ; OVERVIEW OF THE METHOD OF MOMENTS -- SUMMARY OF METHODS -- Iterative Solutions -- Reducing the Number of Iterations -- The Fast Multipole Method -- Recursive Methods -- Exact Fixed Step Methods -- Spatial Decomposition -- Sparse Matrix Methods -- The Impedance Matrix Localization Method -- Wavelet Basis Functions -- Novel Expansion Methods -- Hybrid Methods -- The Hybrid MM/GTD Method -- The Hybrid GTD/MM Method -- CONCLUSIONS -- REFERENCES -- 11 Discussion -- OPEN DISCUSSION -- PANEL DISCUSSION -- Appendices -- Appendix A Symposium Agenda -- Appendix B Speakers -- Appendix C Symposium Participants.
• Titolo autorizzato: Large-scale structures in acoustics and electromagnetics
• ISBN: 1-280-19268-2; 9786610192687; 0-309-56094-2; 0-585-15412-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910828405103321
• Lo trovi qui: Univ. Federico II