The Fast Solution of Boundary Integral Equations

• Main Authors: Rjasanow, Sergej (Author), Steinbach, Olaf (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2007.
• Series: Mathematical and Analytical Techniques with Applications to Engineering,
• Subjects: Mathematics.; Image processing.; Differential equations.; Applied mathematics.; Engineering mathematics.; Physics.; Mathematics, general.; Appl.Mathematics/Computational Methods of Engineering.; Applications of Mathematics.; Theoretical, Mathematical and Computational Physics.; Image Processing and Computer Vision.; Ordinary Differential Equations.

The use of surface potentials to describe solutions of partial differential equations goes back to the middle of the 19th century. Numerical approximation procedures, known today as Boundary Element Methods (BEM), have been developed in the physics and engineering community since the 1950s. These me...

Table of Contents:

• Boundary Integral Equations
• Boundary Element Methods
• Approximation of Boundary Element Matrices
• Implementation and Numerical Examples.