عنوان

Finite element and discontinuous galerkin methods for transient wave equations

(Number (ISBN

978-94-017-7761-2 (eBook)

Number

333504

.Language of Text, Soundtrack etc

انگلیسی

Title Proper

Finite element and discontinuous galerkin methods for transient wave equations

General Material Designation

[electronic resources]

First Statement of Responsibility

/ Gary Cohen, Sebastien Pernet

Place of Publication, Distribution, etc.

New York, NY.

Name of Publisher, Distributor, etc.

: Springer Berlin Heidelberg

Date of Publication, Distribution, etc.

, 2017

Specific Material Designation and Extent of Item

xvii, 381 p.

Other Physical Details

: Figs. , Tables

Text of Note

includes bibliographical references

Text of Note

This monograph presents numerical methods for solving transient wave equations (i.e. in time domain). More precisely, it provides an overview of continuous and discontinuous finite element methods for these equations, including their implementation in physical models, an extensive description of 2D and 3D elements with different shapes, such as prisms or pyramids, an analysis of the accuracy of the methods and the study of the Maxwell’s system and the important problem of its spurious free approximations. After recalling the classical models, i.e. acoustics, linear elastodynamics and electromagnetism and their variational formulations, the authors present a wide variety of finite elements of different shapes useful for the numerical resolution of wave equations. Then, they focus on the construction of efficient continuous and discontinuous Galerkin methods and study their accuracy by plane wave techniques and a priori error estimates. A chapter is devoted to the Maxwell’s system and the important problem of its spurious-free approximations. Treatment of unbounded domains by Absorbing Boundary Conditions (ABC) and Perfectly Matched Layers (PML) is described and analyzed in a separate chapter. The two last chapters deal with time approximation including local time-stepping and with the study of some complex models, i.e. acoustics in flow, gravity waves and vibrating thin plates. Throughout, emphasis is put on the accuracy and computational efficiency of the methods, with attention brought to their practical aspects. This monograph also covers in details the theoretical foundations and numerical analysis of these methods. As a result, this monograph will be of interest to practitioners, researchers, engineers and graduate students involved in the numerical simulation of waves.

Entry Element

Mathematical physics

Entry Element

Computer science -- Mathematics

Subject Term

Computer science, Mathematics, physics

Entry Element

Cohen

Part of Name Other than Entry Element

, Gary

Relator Code

Author

Entry Element

Pernet

Part of Name Other than Entry Element

, Sebastien

Relator Code

Author

Country

ایران

Date of Transaction

20180131133710.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

E-Book

Uniform Resource Identifier

https://www.loc.gov/catdir/enhancements/fy1616/2016942523-d.html

BL

280328

a

Y