The accurate and efficient numerical solution of problems in wave propagation represent some of the most challenging problems in scientific computing. The text is a collection of survey articles by leading experts in computational wave propagation and inverse problems and describes various aspects and techniques representing the current state of the art in numerical wave propagation and inverse problems.

Includes supplementary material: sn.pub/extras

Klappentext

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.

Inhalt
New Results on Absorbing Layers and Radiation Boundary Conditions.- Fast, High-Order, High-Frequency Integral Methods for Computational Acoustics and Electromagnetics.- Galerkin Boundary Element Methods for Electromagnetic Scattering.- Computation of resonance frequencies for Maxwell equations in non-smooth domains.- hp-Adaptive Finite Elements for Time-Harmonic Maxwell Equations.- Variational Methods for Time-Dependent Wave Propagation Problems.- Some Numerical Techniques for Maxwell's Equations in Different Types of Geometries.- On Retarded Potential Boundary Integral Equations and their Discretisation.- Inverse Scattering Theory for Time-Harmonic Waves.- Herglotz Wave Functions in Inverse Electromagnetic Scattering Theory.- Appendix: Colour Figures.