000			03910nam a22005175i 4500
001			978-0-387-34042-5
003			DE-He213
005			20250710083952.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780387340425 _a99780387340425
024	7		_a10.1007/0-387-34042-4 _2doi
082	0	4	_a519 _223
100	1		_aRjasanow, Sergej. _eauthor.
245	1	4	_aThe Fast Solution of Boundary Integral Equations _h[recurso electrónico] / _cby Sergej Rjasanow, Olaf Steinbach.
264		1	_aBoston, MA : _bSpringer US, _c2007.
300			_aXI, 279 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aMathematical and Analytical Techniques with Applications to Engineering, _x1559-7458
505	0		_aBoundary Integral Equations -- Boundary Element Methods -- Approximation of Boundary Element Matrices -- Implementation and Numerical Examples.
520			_aThe 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	_aENGINEERING.
650		0	_aCOMPUTER VISION.
650		0	_aDIFFERENTIAL EQUATIONS.
650		0	_aMATHEMATICS.
650		0	_aMATHEMATICAL PHYSICS.
650		0	_aENGINEERING MATHEMATICS.
650	1	4	_aENGINEERING.
650	2	4	_aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
650	2	4	_aAPPLICATIONS OF MATHEMATICS.
650	2	4	_aMATHEMATICAL AND COMPUTATIONAL PHYSICS.
650	2	4	_aIMAGE PROCESSING AND COMPUTER VISION.
650	2	4	_aORDINARY DIFFERENTIAL EQUATIONS.
700	1		_aSteinbach, Olaf. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387340418
830		0	_aMathematical and Analytical Techniques with Applications to Engineering, _x1559-7458
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-34042-4 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-ENG
942			_2ddc _cER
999			_c57331 _d57331