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988 _aSpringer_Engineering_2020
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020 _a9783030233396
024 7 _a10.1007/978-3-030-23339-6
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aTA347.B69
_b2020 EB
100 1 _aBeer, G.
_eautor
_q(Gernot)
_9671497
245 1 4 _aThe Isogeometric Boundary Element Method
_cby Gernot Beer, Benjamin Marussig, Christian Duenser
250 _aFirst edition 2020
264 1 _aCham
_bSpringer International Publishing
_c2020
300 _a1 recurso en línea (XIV, 335 páginas)
_b235 ilustraciones, 189 ilustraciones a color
336 _2rdacontent
_aTexto
_btxt
337 _2rdamedia
_aelectrónico
_bc
338 _2rdacarrier
_arecurso electrónico
_bcr
347 _atext file
_bPDF
490 0 _aLecture Notes in Applied and Computational Mechanics
_x1613-7736
_v90
490 0 _aEngineering (Springer-11647)
505 0 _aIntroduction -- The boundary integral equation -- Basis functions, B-splines -- Description of the geometry -- Getting geometry information from CAD programs -- Numerical treatment of integral equations -- Numerical integration -- Steady state potential problems -- Static linear solid mechanics -- Body force effects -- Treatment of inhomogeneities/inclusions -- Material non-linear behaviour -- Applications in geomechanics -- Viscous flow problems -- Time dependent problems -- Summary and outlook -- Appendix A: Fundamental solutions.
520 3 _aThis book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.
650 7 _2embne
_aMétodo de elementos de contorno
_9671495
700 1 _aMarussig, Benjamin
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aDuenser, Christian
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
776 0 8 _iPrinted edition:
_z9783030233389
776 0 8 _iPrinted edition:
_z9783030233402
776 0 8 _iPrinted edition:
_z9783030233419
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-030-23339-6
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
998 _aPRE
_cm
_dz
_feng
_ggw
_h0
_zSI
_b11/2019
_eu