Finite element analysis of acoustic scattering

the long version

This book reviews recent results of numerical analysis that are fundamental for the reliable computational simulation of scattering problems with finite element methods. New preasymptotic error estimates for Galerkin finite element solutions of the Helmholtz equation with moderate and large wave numbers form the core of the book. The topics include a priori and a posteriori error estimation, addressing the h-version and the hp-version of the FEM as well as stabilized methods. The mathematical investigation of model problems is given in close connection with the physical problem of acoustic scattering and fluid-solid interaction. Students and researchers in mathematics, physics, and engineering, as well as scientists and computational engineers working on scattering problems, will find this book of interest. The author has produced a self-contained and easily readable work containing numerous illustrations of the theory with numerical examples and computational results.