Covers the fundamentals of linear theory of finite elements, from both mathematical and physical points of view. Major focus is on error estimation and adaptive methods used to increase the reliability of results. Incorporates recent advances not covered by other books.
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Covers the fundamentals of linear theory of finite elements, from both mathematical and physical points of view. Major focus is on error estimation and adaptive methods used to increase the reliability of results. Incorporates recent advances not covered by other books.
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Most Helpful Customer Reviews
6 of 6 people found the following review helpful:
4.0 out of 5 stars
The Why of FEM,
By Abani K. Patra (Buffalo,NY) - See all my reviews
This review is from: Finite Element Analysis (Wiley Series in Computational Mechanics) (Hardcover)
Unlike most other books on the market this book focuses on the strong analytical and mathematical underpinnings of the FEM. Thus, the advanced reader is left with a deep understanding of the method and its modern extensions. There is a good blend of applications too!
5 of 5 people found the following review helpful:
5.0 out of 5 stars
The best book on FEM I know about,
By Johannes (Munich, Germany) - See all my reviews
This review is from: Finite Element Analysis (Wiley Series in Computational Mechanics) (Hardcover)
This book gives an excellent presentation of the mathematics behind the FEM that can also be understood by engineers. A very strong point is the intensive discussion of errors, not only the discretization error but all possible errors that might occur during the complete idealization process.
By practical reasons, the theory presented is mostly limited to two-dimensional problems but results can easily transferred to 3-dimensional problems. Although the book is on theory, it has been of extremely practical value to me. There is nothing more practical than a good theory.
3 of 4 people found the following review helpful:
5.0 out of 5 stars
This is "the bible" for p-FEM,
By occams battery reviewer "willhunting2002" (Pasadena, CA United States) - See all my reviews
This review is from: Finite Element Analysis (Wiley Series in Computational Mechanics) (Hardcover)
This book is essential for people who want to understand the p-finite element method. The authors are pioneers in the field, and their writing is excellent. What more could you ask for?
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Inside This Book
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First Sentence:
The principal goal of engineering computations is to obtain information concerning the response of physical systems to certain imposed conditions, generally called loads. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
hierarchic shape functions, blending function method, hard simple support, finite strain energy, conventional shape functions, load vector terms, preasymptotic range, soft simple support, elemental shape functions, spring boundary conditions, nodal shape functions, plane elastic body, exact strain energy, true relative errors, edge that connects nodes, uniform mesh refinement, traction vector components, material stiffness matrix, largest indicators, stress maxima, imposed tractions, estimated relative error, energy norm, virtual work formulation, hierarchic model Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, University of Maryland, College Park, Computer Methods, Englewood Cliffs, John Wiley, Numerische Mathematik, Washington University, Academic Press, Book Company, Mathematical Theory of Elasticity, Technical Note, Applied Numerical Methods, The Post-Processing Approach New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The principal goal of engineering computations is to obtain information concerning the response of physical systems to certain imposed conditions, generally called loads. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
hierarchic shape functions, blending function method, hard simple support, finite strain energy, conventional shape functions, load vector terms, preasymptotic range, soft simple support, elemental shape functions, spring boundary conditions, nodal shape functions, plane elastic body, exact strain energy, true relative errors, edge that connects nodes, uniform mesh refinement, traction vector components, material stiffness matrix, largest indicators, stress maxima, imposed tractions, estimated relative error, energy norm, virtual work formulation, hierarchic model Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, University of Maryland, College Park, Computer Methods, Englewood Cliffs, John Wiley, Numerische Mathematik, Washington University, Academic Press, Book Company, Mathematical Theory of Elasticity, Technical Note, Applied Numerical Methods, The Post-Processing Approach New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 90
books:
See all 90 books this book cites
2
books
cite this book:
- The Finite Element Method: Its Basis and Fundamentals, Sixth Edition by O. C. Zienkiewicz on 5 pages
- Partial Differential Equations (Applied Mathematical Sciences) (v. 1) by Fritz John in Back Matter (1), Back Matter (2), and Back Matter (3)
- Theory of Elasticity (McGraw-Hill Classic Textbook Reissue Series) by S. Timoshenko on page 93, page 193, and page 245
- Mathematical Theory of Elasticity by I. S. Sokolnikoff on page 93, page 193, and page 245
- Concepts and Applications of Finite Element Analysis, 4th Edition by Robert D. Cook in Back Matter (1), and Back Matter (2)
See all 90 books this book cites
- Error-controlled Adaptive Finite Elements in Solid Mechanics by Ekkehard Ramm on page 307
- Iterative and Self-Adaptive Finite-Elements in Electromagnetic Modeling by Magdalena Salazar-Palma in Back Matter
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