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  • © 2019

Precursors of Isogeometric Analysis

Finite Elements, Boundary Elements, and Collocation Methods

  • Offers an instructive and comprehensive presentation of the basics of CAD (Computer-Aided Design) interpolation formulas to enable readers to obtain a solid background for further reading
  • Discusses CAD/CAE integration in detail
  • Provides access to numerous full MATLAB codes with step-by-step tutorials

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 256)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xx
  2. Initial Attempts on CAD/CAE Integration

    • Christopher G. Provatidis
    Pages 1-24
  3. Elements of Approximation and Computational Geometry

    • Christopher G. Provatidis
    Pages 25-91
  4. GORDON’s Transfinite Macroelements

    • Christopher G. Provatidis
    Pages 175-220
  5. BEZIER Interpolation and Relevant Isoparametric Elements

    • Christopher G. Provatidis
    Pages 255-314
  6. Interpolation Using B-Splines and Relevant Macroelements

    • Christopher G. Provatidis
    Pages 315-356
  7. Rational Elements (BEZIER, NURBS)

    • Christopher G. Provatidis
    Pages 357-380
  8. Plate Bending Macroelements

    • Christopher G. Provatidis
    Pages 381-414
  9. Three-Dimensional Macroelements

    • Christopher G. Provatidis
    Pages 415-452
  10. Global Collocation Using Macroelements

    • Christopher G. Provatidis
    Pages 453-498
  11. The Boundary Element Method Using CAD-Based Macroelements

    • Christopher G. Provatidis
    Pages 499-527
  12. Domain Decomposition and Other Advanced Issues

    • Christopher G. Provatidis
    Pages 529-557
  13. Review and Epilogue

    • Christopher G. Provatidis
    Pages 559-579
  14. Back Matter

    Pages 581-587

About this book

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.

Authors and Affiliations

  • School of Mechanical Engineering, National Technical University of Athens, Athens, Greece

    Christopher G. Provatidis

Bibliographic Information

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access