The Finite Element Method [electronic resource] : A Primer / by Jacobo Bielak.

Por: Bielak, Jacobo [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: TextoTextoEditor: Cham : Springer International Publishing : Imprint: Springer, 2024Edición: 1st ed. 2024Descripción: XIII, 288 p. 150 illus., 39 illus. in color. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783031563690Tema(s): Mechanical engineering | Civil engineering | Electrical engineering | Numerical analysis | Engineering mathematics | Engineering -- Data processing | Mechanical Engineering | Civil Engineering | Electrical and Electronic Engineering | Numerical Analysis | Mathematical and Computational Engineering ApplicationsFormatos físicos adicionales: Printed edition:: Sin título; Printed edition:: Sin título; Printed edition:: Sin títuloClasificación CDD: 621 Clasificación LoC:TJ1-1570Recursos en línea: Libro electrónicoTexto
Contenidos:
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.
En: Springer Nature eBookResumen: 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.
Star ratings
    Valoración media: 0.0 (0 votos)
Existencias
Tipo de ítem Biblioteca actual Colección Signatura Copia número Estado Fecha de vencimiento Código de barras
Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos 1 No para préstamo

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.

UABC ; Perpetuidad

Con tecnología Koha