000 03627nam a22005655i 4500
001 978-3-030-03889-2
003 DE-He213
005 20220801213456.0
007 cr nn 008mamaa
008 190101s2019 sz | s |||| 0|eng d
020 _a9783030038892
_9978-3-030-03889-2
024 7 _a10.1007/978-3-030-03889-2
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aSCI096000
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.105
_223
100 1 _aProvatidis, Christopher G.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_932277
245 1 0 _aPrecursors of Isogeometric Analysis
_h[electronic resource] :
_bFinite Elements, Boundary Elements, and Collocation Methods /
_cby Christopher G. Provatidis.
250 _a1st ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _aXX, 587 p. 255 illus., 150 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSolid Mechanics and Its Applications,
_x2214-7764 ;
_v256
505 0 _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.
520 _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.
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 0 _aDifferential equations.
_932278
650 0 _aMathematics—Data processing.
_931594
650 0 _aMathematical physics.
_911013
650 1 4 _aSolid Mechanics.
_931612
650 2 4 _aDifferential Equations.
_932279
650 2 4 _aComputational Science and Engineering.
_932280
650 2 4 _aMathematical Physics.
_911013
710 2 _aSpringerLink (Online service)
_932281
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030038885
776 0 8 _iPrinted edition:
_z9783030038908
830 0 _aSolid Mechanics and Its Applications,
_x2214-7764 ;
_v256
_932282
856 4 0 _uhttps://doi.org/10.1007/978-3-030-03889-2
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c75221
_d75221