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Precursors of Isogeometric Analysis = Finite Elements, Boundary Elements, and Collocation Methods /

紀錄類型:	書目-語言資料,印刷品 : 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.
面頁冊數:	XX, 587 p. 255 illus., 150 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mechanics. -
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. - 1st ed. 2019. - XX, 587 p. 255 illus., 150 illus. in color.online resource. - Solid Mechanics and Its Applications,2560925-0042 ;. - Solid Mechanics and Its Applications,215.

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:

527684
Mechanics.

LC Class. No.: TA349-359

Dewey Class. No.: 531

Precursors of Isogeometric Analysis = Finite Elements, Boundary Elements, and Collocation Methods /
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