Finite Element Analysis of Acoustic Scattering
Seiten
1998
Springer-Verlag New York Inc.
978-0-387-98319-6 (ISBN)
Springer-Verlag New York Inc.
978-0-387-98319-6 (ISBN)
Starting from the basic physical assumptions, this book 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.
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.
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.
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.
| Erscheint lt. Verlag | 13.8.1998 |
|---|---|
| Reihe/Serie | Applied Mathematical Sciences ; 132 |
| Zusatzinfo | XIV, 226 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Themenwelt | Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| ISBN-10 | 0-387-98319-8 / 0387983198 |
| ISBN-13 | 978-0-387-98319-6 / 9780387983196 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Softcover (2024)
REDLINE (Verlag)
CHF 27,95
Eine kurze Geschichte der Informationsnetzwerke von der Steinzeit bis …
Buch | Hardcover (2024)
Penguin (Verlag)
CHF 39,20
