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Precursors of isogeometric analysis ...

Provatidis, Christopher G.

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Precursors of isogeometric analysis = finite elements, boundary elements, and collocation methods /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Precursors of isogeometric analysis/ by Christopher G. Provatidis.
其他題名:	finite elements, boundary elements, and collocation methods /
作者:	Provatidis, Christopher G.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	xx, 587 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Isogeometric analysis. -
電子資源:	https://doi.org/10.1007/978-3-030-03889-2
ISBN:	9783030038892

Precursors of isogeometric analysis = finite elements, boundary elements, and collocation methods /
Provatidis, Christopher G.

Precursors of isogeometric analysisfinite elements, boundary elements, and collocation methods /[electronic resource] :by Christopher G. Provatidis. - Cham :Springer International Publishing :2019. - xx, 587 p. :ill., digital ;24 cm. - Solid mechanics and its applications,v.2560925-0042 ;. - Solid mechanics and its applications ;v.256..

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.

ISBN: 9783030038892

Standard No.: 10.1007/978-3-030-03889-2doiSubjects--Topical Terms:

1569960
Isogeometric analysis.

LC Class. No.: TA347.F5 / P768 2019

Dewey Class. No.: 518.25

Precursors of isogeometric analysis = finite elements, boundary elements, and collocation methods /
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