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010   $a3-030-03889-0
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035   $a(MiAaPQ)EBC5628170
035   $a(DE-He213)978-3-030-03889-2
035   $a(PPN)233796126
035   $a(EXLCZ)994100000007335129
100   $a20190101d2019      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aPrecursors of Isogeometric Analysis $eFinite Elements, Boundary Elements, and Collocation Methods /$fby Christopher G. Provatidis
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (602 pages)
225 1 $aSolid Mechanics and Its Applications,$x0925-0042 ;$v256
311   $a3-030-03888-2 
327   $a1 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.
330   $aThis 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.
606   $aMechanics
606   $aMechanics, Applied
606   $aDifferential equations, Partial
606   $aComputer science$xMathematics
606   $aMathematical physics
606   $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010
606   $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
615  0$aMechanics.
615  0$aMechanics, Applied.
615  0$aDifferential equations, Partial.
615  0$aComputer science$xMathematics.
615  0$aMathematical physics.
615 14$aSolid Mechanics.
615 24$aSolid Mechanics.
615 24$aPartial Differential Equations.
615 24$aComputational Science and Engineering.
615 24$aMathematical Physics.
676   $a620.00151535
676   $a518.25
700   $aProvatidis$b Christopher G$4aut$4http://id.loc.gov/vocabulary/relators/aut$0861037
906   $aBOOK
912   $a9910337641503321
996   $aPrecursors of Isogeometric Analysis$91921576
997   $aUNINA