Precursors of isogeometric analysis: fin
β Provatidis C.G
π Library
π
2019
π Springer
π English
β¦ LIBER β¦
π
Precursors of Isogeometric Analysis: Finite Elements, Boundary Elements, and Collocation Methods
β Scribed by Christopher G. Provatidis
- Publisher
- Springer International Publishing
- Year
- 2019
- Tongue
- English
- Leaves
- 602
- Series
- Solid Mechanics and Its Applications 256
- Edition
- 1st ed.
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Table of Contents
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
COONSβ Interpolation as a Vehicle to Derive Large Isoparametric Elements (Christopher G. Provatidis)....Pages 93-174
GORDONβs Transfinite Macroelements (Christopher G. Provatidis)....Pages 175-220
BARNHILLβs 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
β¦ Subjects
Engineering; Partial Differential Equations; Computational Science and Engineering; Mathematical Physics
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