3rd Edition

What Every Engineer Should Know About Computational Techniques of Finite Element Analysis

By Louis Komzsik Copyright 2025
392 Pages 92 B/W Illustrations
by CRC Press

392 Pages 92 B/W Illustrations
by CRC Press

392 Pages 92 B/W Illustrations
by CRC Press

This book is a concise, self-contained treatment of the finite element method and all the computational techniques needed for its efficient use and practical implementation. This book describes the process of transforming the physical problem into a mathematical model, the reduction of the mathematical model to a numerically solvable computational form, and many practical engineering analysis... Read more

I: Numerical Model Generation

1. Finite Element Analysis

2. Finite Element Model Generation

3. Modeling of Physical Phenomena

4. Constraints and Boundary Conditions

5. Singularity Detection of Finite Element Models

6. Coupling Physical Phenomena

II: Computational Reduction Techniques

7. Matrix Factorization and Linear Systems

8. Static Condensation

9. Real Spectral Computations

10. Complex Spectral Computations

11. Dynamic Reduction

12. Component Mode Synthesis

III: Engineering Solution Computations

13. Modal Solution Technique

14. Transient Response Analysis

15. Frequency Domain Analysis

16. Nonlinear Analysis

17. Sensitivity and Optimization

18. Engineering Result Computations

IV: Advanced Industrial Solutions

19. Heat Transfer

20. Wave Propagation

21. Topology Optimization

22. Fluid Dynamics

Biography

Louis Komzsik is a graduate of the Technical University of Budapest with an engineering degree and the Eötvös University of Sciences in Budapest with a mathematics degree, both in Hungary. From 1974 to 2016, he worked in various industries in Europe and in the United States in finite element analysis of ships, airplanes, automobiles, satellites, and windmills.

His work on numerical computational techniques for industrial finite element analysis has been captured in the NASTRAN numerical methods handbook. He pioneered the introduction of several numerical techniques that became de-facto industrial standards, and his book about one of those topics, The Lanczos Method, has also been published in Chinese, Japanese, and Hungarian. He also worked on the topic of rotor dynamics and on the mathematical solution of structural topology optimization.

He is the author of several technical books in second or third editions. His Approximation Techniques for Engineers, 2nd ed. (2016); Applied Calculus of Variations for Engineers, 3rd ed. (2018); and Computational Techniques of Finite Element Analysis, 2nd ed. (2009) are all used in industry and in academia worldwide. He is also the coauthor of Computational Techniques of Rotor Dynamics with the Finite Element Method, originally published in 2012 and a second edition to be published later this year.

After his retirement from industry, he lectured at the Mathematics Department of the University of California in Irvine from 2017 to 2020. Since 2021 he has served as Professor Emeritus of Applied Mathematics and teaches finite element analysis using this book as the class text at Obuda University in Budapest, Hungary. In 2024, he received the gold diploma from the Technical University of Budapest celebrating his 50-year engineering career.