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Precursors of isogeometric analysisf...

Provatidis, Christopher G.

Precursors of isogeometric analysisfinite elements, boundary elements, and collocation methods /

Record Type:	Electronic resources : Monographic component part
Title/Author:	Precursors of isogeometric analysisby Christopher G. Provatidis.
Reminder of title:	finite elements, boundary elements, and collocation methods /
Author:	Provatidis, Christopher G.
Published:	Cham :Springer International Publishing :2019.
Description:	xx, 587 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Isogeometric analysis.
Online resource:	https://doi.org/10.1007/978-3-030-03889-2
ISBN:	9783030038892$q(electronic bk.)

Precursors of isogeometric analysisfinite 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. 152..

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$q(electronic bk.)

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

561869
Isogeometric analysis.

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

Dewey Class. No.: 518.25

Precursors of isogeometric analysisfinite elements, boundary elements, and collocation methods /
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505 0 $a 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.
520 $a 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.
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