Finite element analysis of acoustic scattering / Frank Ihlenburg

Englisch

New York ; Berlin ; Heidelberg [u.a.] : Springer, 1998

XIV, 224 S. : graph. Darst.

Literaturverz. S. [211] - 220

Online-Ausg.: Ihlenburg, Frank: Finite Element Analysis of Acoustic Scattering. - New York, NY : Springer New York, 1998. - Online-Ressource (XIV, 226 p, online resource)

978-0-387-98319-6 : alk. paper : DM 118,-

0-387-98319-8 alk. paper : DM 118,-

*Schallwelle / Wellenausbreitung / Streuung / Fluid / Helmholtz-Schwingungsgleichung / Finite-Elemente-Methode

*Wave equation ; Scattering (Physics) -- Mathematical models ; Helmholtz equation -- Numerical solutions ; Boundary value problems -- Numerical solutions ; Finite element method

Klassifikation der Library of Congress: QA1 ; QC174.26.W28

Dewey Dezimal-Klassifikation: 510 ; 531.113301515353 ; 510 ; s ; 531/.1133/01515353 ; 510 s

Regensburger Verbund-Klassifikation: UF 6200: U Physik / UF Mechanik, Kontinuumsmechanik, Strömungsmechanik, Schwingungslehre / Ausbreitung von Schallwellen und akustischen Oberflächenwellen

Regensburger Verbund-Klassifikation: SK 910: SA-SP Mathematik / SK Monografien / Numerische Methoden der Konvergenzbeschleunigung, Iteration

Mathematics Subject Classification: *65Nxx

Mathematics Subject Classification: 65-02

Mathematics Subject Classification: 78A45

Mathematics Subject Classification: 76Q05

Mathematics Subject Classification: 74J20

Mathematics Subject Classification: 74S05

Mathematics Subject Classification: 65Lxx

Mathematics Subject Classification: 76M10

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.

http://www.loc.gov/catdir/enhancements/fy0815/97049493-d.html [Publisher description]

http://www.loc.gov/catdir/enhancements/fy0815/97049493-t.html [Table of contents only]

http://swbplus.bsz-bw.de/bsz068464517cov.htm [Cover]

https://zbmath.org/?q=an:0908.65091 [Zentralblatt MATH]

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