ENGLISH

Precursors of Isogeometric Analysis: Finite Elements, Boundary Elements, and Collocation Methods

By Christopher G. Provatidis

Book information

Publisher
Springer International Publishing
Year
2019
ISBN
978-3-030-03888-5, 978-3-030-03889-2
Language
english
Format
PDF
Filesize
20 MB (20629515 bytes)
Series
Solid Mechanics and Its Applications 256
Edition
1st ed.
Pages
XX, 587\602
Time added
2019-04-19 19:00:00
Engineering; Partial Differential Equations; Compu

Description

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. Front Matter ....Pages i-xx Initial Attempts on CAD/CAE Integration (Christopher G. Provatidis)....Pages 1-24 Elements of Approximation and Computational Geometry (Christopher G. Provatidis)....Pages 25-91 COONS’ Interpolation as a Vehicle to Derive Large Isoparametric Elements (Christopher G. Provatidis)....Pages 93-174 GORDON’s Transfinite Macroelements (Christopher G. Provatidis)....Pages 175-220 BARNHILL’s Interpolation and Relevant Isoparametric Elements in Triangular Patches (Christopher G. Provatidis)....Pages 221-254 BEZIER Interpolation and Relevant Isoparametric Elements (Christopher G. Provatidis)....Pages 255-314 Interpolation Using B-Splines and Relevant Macroelements (Christopher G. Provatidis)....Pages 315-356 Rational Elements (BEZIER, NURBS) (Christopher G. Provatidis)....Pages 357-380 Plate Bending Macroelements (Christopher G. Provatidis)....Pages 381-414 Three-Dimensional Macroelements (Christopher G. Provatidis)....Pages 415-452 Global Collocation Using Macroelements (Christopher G. Provatidis)....Pages 453-498 The Boundary Element Method Using CAD-Based Macroelements (Christopher G. Provatidis)....Pages 499-527 Domain Decomposition and Other Advanced Issues (Christopher G. Provatidis)....Pages 529-557 Review and Epilogue (Christopher G. Provatidis)....Pages 559-579 Back Matter ....Pages 581-587

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