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The Fast Solution of Boundary Integral Equations

The Fast Solution of Boundary Integral Equations

Hardcover

Series: Mathematical and Analytical Techniques with Applications to

General MathematicsPhysics

ISBN10: 0387340416
ISBN13: 9780387340418
Publisher: Springer
Published: May 15 2007
Pages: 284
Weight: 1.34
Height: 0.84 Width: 6.53 Depth: 9.28
Language: English

Boundary Element Methods (BEM) play an important role in modern numerical computations in the applied and engineering sciences. These methods turn out to be powerful tools for numerical studies of various physical phenomena which can be described mathematically by partial differential equations.

The most prominent example is the potential equation (Laplace equation), which is used to model physical phenomena in electromagnetism, gravitation theory, and in perfect fluids. A further application leading to the Laplace equation is the model of steady state heat flow. One of the most popular applications of the BEM is the system of linear elastostatics, which can be considered in both bounded and unbounded domains. A simple model for a fluid flow, the Stokes system, can also be solved by the use of the BEM. The most important examples for the Helmholtz equation are the acoustic scattering and the sound radiation.

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Rjasanow, Sergej

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General Mathematics