03943nam 22006255 450 991033764150332120210305151913.03-030-03889-010.1007/978-3-030-03889-2(CKB)4100000007335129(MiAaPQ)EBC5628170(DE-He213)978-3-030-03889-2(PPN)233796126(EXLCZ)99410000000733512920190101d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierPrecursors of Isogeometric Analysis Finite Elements, Boundary Elements, and Collocation Methods /by Christopher G. Provatidis1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (602 pages)Solid Mechanics and Its Applications,0925-0042 ;2563-030-03888-2 1 Initial Attempts on CAD/CAE Integration -- 2 Elements of Arroximation and Computational Geometry -- 3 Coons Interpolation as a Vehicle to Derive Isoparametric Elements -- 4 Gordon’s Transfinite Macroelements -- 5 Barnhill Interpolation and Relevant Isoparametric Elements -- 6 Bezier Interpolation and Relevant Isoparametric Elements -- 7: B-Splines Interpolation and Relevant Isoparametric Elements -- 8 Rational B-Spline (Nurbs-Based) Macroelements -- 9 Plate Bending Macroelements -- 10: Three-dimensional macroelements -- 11 Global Collocation Using Macroelements -- 12 Global Boundary Elements Using Macroelements -- 13 Mortality Issues -- 14 Global Review-Epilogue -- Appendix A: Green’s Theorem -- Appendix B: Numerical Integration -- Appendix C: Chebyshev Polynomials.This self-contained book addresses the three most popular computational methods in CAE (finite elements, boundary elements, collocation methods) in a unified way, bridging the gap between CAD and CAE. It includes applications to a broad spectrum of engineering (benchmark) application problems, such as elasto-statics/dynamics and potential problems (thermal, acoustics, electrostatics). It also provides a large number of test cases, with full documentation of original sources, making it a valuable resource for any student or researcher in FEA-related areas. The book, which assumes readers have a basic knowledge of FEA, can be used as additional reading for engineering courses as well as for other interdepartmental MSc courses.MechanicsMechanics, AppliedPartial differential equationsComputer mathematicsMathematical physicsSolid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Computational Science and Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/M14026Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Mechanics.Mechanics, Applied.Partial differential equations.Computer mathematics.Mathematical physics.Solid Mechanics.Solid Mechanics.Partial Differential Equations.Computational Science and Engineering.Mathematical Physics.620.00151535518.25Provatidis Christopher Gauthttp://id.loc.gov/vocabulary/relators/aut861037BOOK9910337641503321Precursors of Isogeometric Analysis1921576UNINA