Topics in Computational Wave Propagation: Direct and Inverse Problems

✍ Scribed by Thomas Hagstrom (auth.), Mark Ainsworth, Penny Davies, Dugald Duncan, Bryan Rynne, Paul Martin (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2003
• Tongue: English
• Leaves: 407
• Series: Lecture Notes in Computational Science and Engineering 31
• Edition: 1
• Category: Library

✦ Synopsis

These ten detailed and authoritative survey articles on numerical methods for direct and inverse wave propagation problems are written by leading experts. Researchers and practitioners in computational wave propagation, from postgraduate level onwards, will find the breadth and depth of coverage of recent developments a valuable resource. The articles describe a wide range of topics on the application and analysis of methods for time and frequency domain PDE and boundary integral formulations of wave propagation problems. Electromagnetic, seismic and acoustic equations are considered. Recent developments in methods and analysis ranging from finite differences to hp-adaptive finite elements, including high-accuracy and fast methods are described with extensive references.

✦ Table of Contents

Front Matter....Pages I-VIII
New Results on Absorbing Layers and Radiation Boundary Conditions....Pages 1-42
Fast, High-Order, High-Frequency Integral Methods for Computational Acoustics and Electromagnetics....Pages 43-82
Galerkin Boundary Element Methods for Electromagnetic Scattering....Pages 83-124
Computation of resonance frequencies for Maxwell equations in non-smooth domains....Pages 125-161
hp -Adaptive Finite Elements for Time-Harmonic Maxwell Equations....Pages 163-199
Variational Methods for Time-Dependent Wave Propagation Problems....Pages 201-264
Some Numerical Techniques for Maxwell’s Equations in Different Types of Geometries....Pages 265-299
On Retarded Potential Boundary Integral Equations and their Discretisation....Pages 301-336
Inverse Scattering Theory for Time-Harmonic Waves....Pages 337-365
Herglotz Wave Functions in Inverse Electromagnetic Scattering Theory....Pages 367-394
Back Matter....Pages 395-405

✦ Subjects

Computational Mathematics and Numerical Analysis; Earth Sciences, general