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020 6 4 _a9780387340425
_9978-0-387-34042-5
024 8 7 _a10.1007/0-387-34042-4
_2doi
050 8 4 _aTA329-348
050 8 4 _aTA640-643
072 8 7 _aTBJ
_2bicssc
072 8 7 _aMAT003000
_2bisacsh
082 _a519
_223
100 8 1 _aRjasanow, Sergej.
_eauthor.
_918507
245 _aThe Fast Solution of Boundary Integral Equations
_h[electronic resource] /
_cby Sergej Rjasanow, Olaf Steinbach.
001 000045481
300 6 4 _aXII, 284 p. 97 illus.
_bonline resource.
490 8 1 _aMathematical and Analytical Techniques with Applications to Engineering,
_x1559-7458
505 8 0 _aBoundary Integral Equations -- Boundary Element Methods -- Approximation of Boundary Element Matrices -- Implementation and Numerical Examples.
520 6 4 _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 8 0 _aEngineering.
_918508
650 8 0 _aComputer vision.
_918509
650 8 0 _aDifferential Equations.
_99613
650 8 0 _aMathematics.
_98571
650 8 0 _aMathematical physics.
_99251
650 8 0 _aEngineering mathematics.
_99629
650 _aEngineering.
_918508
650 _aAppl.Mathematics/Computational Methods of Engineering.
_99631
650 _aApplications of Mathematics.
_99618
650 _aMathematical and Computational Physics.
_910012
650 _aImage Processing and Computer Vision.
_918510
650 _aOrdinary Differential Equations.
_99619
700 8 1 _aSteinbach, Olaf.
_eauthor.
_918511
710 8 2 _aSpringerLink (Online service)
_918512
773 8 0 _tSpringer eBooks
776 _iPrinted edition:
_z9780387340418
830 8 0 _aMathematical and Analytical Techniques with Applications to Engineering,
_x1559-7458
_918513
856 _uhttp://dx.doi.org/10.1007/0-387-34042-4
_zde clik aquí para ver el libro electrónico
264 8 1 _aBoston, MA :
_bSpringer US,
_c2007.
336 6 4 _atext
_btxt
_2rdacontent
337 6 4 _acomputer
_bc
_2rdamedia
338 6 4 _aonline resource
_bcr
_2rdacarrier
347 6 4 _atext file
_bPDF
_2rda
516 6 4 _aZDB-2-ENG
999 _c45210
_d45210
942 _c05