Finite Element Analysis of Acoustic Scattering (Hardcover) (ISBN-13: 9780387983196)

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. 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.

Author: Frank Ihlenburg
ISBN-10: 0387983198
ISBN-13: 9780387983196
Publisher: Springer
Language: English
Published: 08/13/1998
Pages: 226
Format: Hardcover
Weight: 1.00lbs
Size: 9.55h x 6.38w x 0.75d