Cargando…
The Fast Solution of Boundary Integral 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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer US : Imprint: Springer,
2007.
|
| Edición: | 1st ed. 2007. |
| Colección: | Mathematical and Analytical Techniques with Applications to Engineering,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-0-387-34042-5 | ||
| 003 | DE-He213 | ||
| 005 | 20220118170626.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2007 xxu| s |||| 0|eng d | ||
| 020 | |a 9780387340425 |9 978-0-387-34042-5 | ||
| 024 | 7 | |a 10.1007/0-387-34042-4 |2 doi | |
| 050 | 4 | |a QA1-939 | |
| 072 | 7 | |a PB |2 bicssc | |
| 072 | 7 | |a MAT000000 |2 bisacsh | |
| 072 | 7 | |a PB |2 thema | |
| 082 | 0 | 4 | |a 510 |2 23 |
| 100 | 1 | |a Rjasanow, Sergej. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 4 | |a The Fast Solution of Boundary Integral Equations |h [electronic resource] / |c by Sergej Rjasanow, Olaf Steinbach. |
| 250 | |a 1st ed. 2007. | ||
| 264 | 1 | |a New York, NY : |b Springer US : |b Imprint: Springer, |c 2007. | |
| 300 | |a XII, 284 p. 97 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Mathematical and Analytical Techniques with Applications to Engineering, |x 1559-7466 | |
| 505 | 0 | |a Boundary Integral Equations -- Boundary Element Methods -- Approximation of Boundary Element Matrices -- Implementation and Numerical Examples. | |
| 520 | |a 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 methods turn out to be powerful tools for numerical studies of various physical phenomena which can be described mathematically by partial differential equations. The Fast Solution of Boundary Integral Equations provides a detailed description of fast boundary element methods which are based on rigorous mathematical analysis. In particular, a symmetric formulation of boundary integral equations is used, Galerkin discretisation is discussed, and the necessary related stability and error estimates are derived. For the practical use of boundary integral methods, efficient algorithms together with their implementation are needed. The authors therefore describe the Adaptive Cross Approximation Algorithm, starting from the basic ideas and proceeding to their practical realization. Numerous examples representing standard problems are given which underline both theoretical results and the practical relevance of boundary element methods in typical computations. 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. | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 0 | |a Engineering-Data processing. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Computer vision. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 1 | 4 | |a Mathematics. |
| 650 | 2 | 4 | |a Mathematical and Computational Engineering Applications. |
| 650 | 2 | 4 | |a Applications of Mathematics. |
| 650 | 2 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 650 | 2 | 4 | |a Computer Vision. |
| 650 | 2 | 4 | |a Differential Equations. |
| 700 | 1 | |a Steinbach, Olaf. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781441941602 |
| 776 | 0 | 8 | |i Printed edition: |z 9780387513836 |
| 776 | 0 | 8 | |i Printed edition: |z 9780387340418 |
| 830 | 0 | |a Mathematical and Analytical Techniques with Applications to Engineering, |x 1559-7466 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/0-387-34042-4 |z Texto Completo |
| 912 | |a ZDB-2-ENG | ||
| 912 | |a ZDB-2-SXE | ||
| 950 | |a Engineering (SpringerNature-11647) | ||
| 950 | |a Engineering (R0) (SpringerNature-43712) | ||