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The finite element method = a primer /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The finite element method/ by Jacobo Bielak.
其他題名:	a primer /
作者:	Bielak, Jacobo.
出版者:	Cham :Springer International Publishing : : 2024.,
面頁冊數:	xiii, 288 p. :ill. (some col.), digital ;24 cm.
內容註:	Part I Fundamental Concepts, Implementation, and Applications -- Chapter 1 Prototype One-Dimensional Boundary-Value Problem (BVP) - Governing Differential Equation and Variational Formulations with Examples -- Chapter 2 Finite Elements for the Prototype One-Dimensional BVP -- Chapter 3 Prototype Two-Dimensional (2D) Problem - Variational Formulations -- Chapter 4 Finite Elements for the Model Two-Dimensional BVP -- Part II Extensions -- Chapter 5 Problems With Singularities -- Chapter 6 Three-Dimensional Boundary-Value Problems -- Chapter 7 Initial Boundary-Value Problems -- Chapter 8 Spectral Elements -- Chapter 9 One-Dimensional Fourth-Order Boundary Value Problems.
Contained By:	Springer Nature eBook
標題:	Finite element method. -
電子資源:	https://doi.org/10.1007/978-3-031-56369-0
ISBN:	9783031563690

The finite element method = a primer /
Bielak, Jacobo.

The finite element methoda primer /[electronic resource] :by Jacobo Bielak. - Cham :Springer International Publishing :2024. - xiii, 288 p. :ill. (some col.), digital ;24 cm.

Part I Fundamental Concepts, Implementation, and Applications -- Chapter 1 Prototype One-Dimensional Boundary-Value Problem (BVP) - Governing Differential Equation and Variational Formulations with Examples -- Chapter 2 Finite Elements for the Prototype One-Dimensional BVP -- Chapter 3 Prototype Two-Dimensional (2D) Problem - Variational Formulations -- Chapter 4 Finite Elements for the Model Two-Dimensional BVP -- Part II Extensions -- Chapter 5 Problems With Singularities -- Chapter 6 Three-Dimensional Boundary-Value Problems -- Chapter 7 Initial Boundary-Value Problems -- Chapter 8 Spectral Elements -- Chapter 9 One-Dimensional Fourth-Order Boundary Value Problems.

This textbook introduces the widely used numerical technique FEM in various engineering disciplines for the analysis of structures, heat transfer, fluid dynamics, and other physical phenomena. 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.

ISBN: 9783031563690

Standard No.: 10.1007/978-3-031-56369-0doiSubjects--Topical Terms:

579714
Finite element method.

LC Class. No.: TA347.F5

Dewey Class. No.: 518.25

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505 0 $a Part I Fundamental Concepts, Implementation, and Applications -- Chapter 1 Prototype One-Dimensional Boundary-Value Problem (BVP) - Governing Differential Equation and Variational Formulations with Examples -- Chapter 2 Finite Elements for the Prototype One-Dimensional BVP -- Chapter 3 Prototype Two-Dimensional (2D) Problem - Variational Formulations -- Chapter 4 Finite Elements for the Model Two-Dimensional BVP -- Part II Extensions -- Chapter 5 Problems With Singularities -- Chapter 6 Three-Dimensional Boundary-Value Problems -- Chapter 7 Initial Boundary-Value Problems -- Chapter 8 Spectral Elements -- Chapter 9 One-Dimensional Fourth-Order Boundary Value Problems.
520 $a This textbook introduces the widely used numerical technique FEM in various engineering disciplines for the analysis of structures, heat transfer, fluid dynamics, and other physical phenomena. 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.
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