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Finite Element Analysis of Acoustic Scattering Frank Ihlenburg

Finite Element Analysis of Acoustic Scattering By Frank Ihlenburg

Finite Element Analysis of Acoustic Scattering by Frank Ihlenburg


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Summary

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.

Finite Element Analysis of Acoustic Scattering Summary

Finite Element Analysis of Acoustic Scattering by Frank Ihlenburg

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.

Table of Contents

The Governing Equations of Time-Harmonic Wave Propagation.- Analytical and Variational Solutions of Helmholtz Problems.- Discretization Methods for Exterior Helmholtz Problems.- Finite Element Error Analysis and Control for Helmholtz Problems.- Computational Simulation of Elastic Scattering.

Additional information

NPB9780387983196
9780387983196
0387983198
Finite Element Analysis of Acoustic Scattering by Frank Ihlenburg
New
Hardback
Springer-Verlag New York Inc.
1998-08-13
226
N/A
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