Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Modern Solvers for Helmholtz Problems

Modern Solvers for Helmholtz Problems

Tang, Jok
Vuik, Kees
LaHaye, Domenico J. P.

Hardcover

Series: Geosystems Mathematics

AlgebraGeneral Mathematics

ISBN10: 3319288318
ISBN13: 9783319288314
Publisher: Birkhauser
Published: Mar 10 2017
Pages: 243
Weight: 1.18
Height: 0.63 Width: 6.14 Depth: 9.21
Language: English

This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz equation. The book consists of three parts:

new developments and analysis in Helmholtz solvers, practical methods and implementations of Helmholtz solvers, and industrial applications.

The Helmholtz equation appears in a wide range of science and engineering disciplines in which wave propagation is modeled. Examples are: seismic inversion, ultrasone medical imaging, sonar detection of submarines, waves in harbours and many more. The partial differential equation looks simple but is hard to solve. In order to approximate the solution of the problem numerical methods are needed. First a discretization is done. Various methods can be used: (high order) Finite Difference Method, Finite Element Method, Discontinuous Galerkin Method and Boundary Element Method. The resulting linear system is large, where the size of the problem increases with increasing frequency. Due to higher frequencies the seismic images need to be more detailed and, therefore, lead to numerical problems of a larger scale. To solve these three dimensional problems fast and robust, iterative solvers are required. However for standard iterative methods the number of iterations to solve the system becomes too large. For these reason a number of new methods are developed to overcome this hurdle.

1 different editions

Also available

Also from

LaHaye, Domenico J. P.

View All

Also in

General Mathematics

View All