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Appropriate for interested senior undergraduate engineering students and beginner graduate students in a one-semester introductory course, this book provides a clear understanding of the main issues in FEM.
Looking at the FEM as a variational approximation method that uses localized piecewise polynomial basis functions for the solution of boundary-value problems (BVP) and initial boundary-value problems (IBVP), the book uses examples to apply this technique to various problems of physical interest, e.g., elasticity, heat conduction, advection-diffusion, etc. One-dimensional (1D) problems are presented first to make it easier to grasp the fundamental concepts associated with the formulation and application of the FEM; then, the methodology is extended to more challenging 2D and 3D problems that involve somewhat greater mathematical complexity. For simplicity, the book deals with problems that are specified in terms of a single set of state variables, such as displacements or temperature. Finally, due to the introductory nature of this text, only linear problems are considered.
Appropriate for interested senior undergraduate engineering students and beginner graduate students in a one-semester introductory course, this book provides a clear understanding of the main issues in FEM.
Looking at the FEM as a variational approximation method that uses localized piecewise polynomial basis functions for the solution of boundary-value problems (BVP) and initial boundary-value problems (IBVP), the book uses examples to apply this technique to various problems of physical interest, e.g., elasticity, heat conduction, advection-diffusion, etc. One-dimensional (1D) problems are presented first to make it easier to grasp the fundamental concepts associated with the formulation and application of the FEM; then, the methodology is extended to more challenging 2D and 3D problems that involve somewhat greater mathematical complexity. For simplicity, the book deals with problems that are specified in terms of a single set of state variables, such as displacements or temperature. Finally, due to the introductory nature of this text, only linear problems are considered.
He has received the Gordon Bell Prize for Special Accomplishment Based on Innovation. He is a Member of the National Academy of Engineering, a Distinguished Member of the American Society of Civil Engineers, an Honorary Member of the Earthquake Engineering Research Institute, and a Fellow of the U.S. Association for Computational Mechanics. He isalso a Corresponding Member of the Mexican Academy of Sciences and of the Mexican Academy of Engineering.
Bielak received his Civil Engineer's degree from the National University of Mexico (UNAM), MS from Rice University, and PhD from Caltech.
| Erscheinungsjahr: | 2024 |
|---|---|
| Fachbereich: | Fertigungstechnik |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xiii
288 S. 111 s/w Illustr. 39 farbige Illustr. 288 p. 150 illus. 39 illus. in color. |
| ISBN-13: | 9783031563683 |
| ISBN-10: | 3031563689 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Bielak, Jacobo |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 22 mm |
| Von/Mit: | Jacobo Bielak |
| Erscheinungsdatum: | 22.06.2024 |
| Gewicht: | 0,623 kg |
He has received the Gordon Bell Prize for Special Accomplishment Based on Innovation. He is a Member of the National Academy of Engineering, a Distinguished Member of the American Society of Civil Engineers, an Honorary Member of the Earthquake Engineering Research Institute, and a Fellow of the U.S. Association for Computational Mechanics. He isalso a Corresponding Member of the Mexican Academy of Sciences and of the Mexican Academy of Engineering.
Bielak received his Civil Engineer's degree from the National University of Mexico (UNAM), MS from Rice University, and PhD from Caltech.
| Erscheinungsjahr: | 2024 |
|---|---|
| Fachbereich: | Fertigungstechnik |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xiii
288 S. 111 s/w Illustr. 39 farbige Illustr. 288 p. 150 illus. 39 illus. in color. |
| ISBN-13: | 9783031563683 |
| ISBN-10: | 3031563689 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Bielak, Jacobo |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 22 mm |
| Von/Mit: | Jacobo Bielak |
| Erscheinungsdatum: | 22.06.2024 |
| Gewicht: | 0,623 kg |
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