LEADER 04576nam 22006375 450 001 9910366614703321 005 20200630102938.0 010 $a3-030-23339-1 024 7 $a10.1007/978-3-030-23339-6 035 $a(CKB)4100000009362649 035 $a(DE-He213)978-3-030-23339-6 035 $a(MiAaPQ)EBC5899961 035 $a(PPN)248602314 035 $a(EXLCZ)994100000009362649 100 $a20190921d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Isogeometric Boundary Element Method /$fby Gernot Beer, Benjamin Marussig, Christian Duenser 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XIV, 335 p. 235 illus., 189 illus. in color.) 225 1 $aLecture Notes in Applied and Computational Mechanics,$x1613-7736 ;$v90 311 $a3-030-23338-3 320 $aIncludes bibliographical references. 327 $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. 330 $aThis book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing. 410 0$aLecture Notes in Applied and Computational Mechanics,$x1613-7736 ;$v90 606 $aMechanics 606 $aMechanics, Applied 606 $aMathematical models 606 $aComputer simulation 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aSimulation and Modeling$3https://scigraph.springernature.com/ontologies/product-market-codes/I19000 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aMathematical models. 615 0$aComputer simulation. 615 14$aSolid Mechanics. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aSimulation and Modeling. 676 $a531 676 $a515.35 700 $aBeer$b Gernot$4aut$4http://id.loc.gov/vocabulary/relators/aut$030719 702 $aMarussig$b Benjamin$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aDuenser$b Christian$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910366614703321 996 $aThe Isogeometric Boundary Element Method$91992478 997 $aUNINA