Finite Element Analysis of Acoustic Scattering (Applied Mathematical Sciences)
|Rating||:||4.30 (897 Votes)|
|Number of Pages||:||226 Pages|
The author also includes broad reference material on numerical methods for the Helmholtz equation in unbounded domains, including Dirichlet-to-Neumann methods, absorbing boundary conditions, infinite elements and the perfectly matched layer. A self-contained and easily readable work.. A cognitive journey towards the reliable simulation of scattering problems using finite element methods, with the pre-asymptotic analysis of Galerkin FEM for the Helmholtz equation with moderate and large wave number forming the core of this book. Starting from the basic physical assumptions, the author methodically develops both the strong and weak forms of the governing equations, while the main chapter on finite element analysis is preceded by a systematic treatment of Galerkin methods for indefinite sesquilinear forms. In the final chapter, three dimensional computational simulations are presented and compared with experimental data
"Good book about FEM for harmonic problems" according to Dario Bojanjac. Great book about theory behind finite elements for scattering problems. From this book I learned how to analyze weak formulation of Helmholtz equation. It would better for you if you know something about weak formulation and Sobolev Spaces. Maybe too short.