Finite Element Analysis with Error Estimators: An Introduction to the FEM and Adaptive Error Analysis for Engineering Students
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Overview
This key text is written for senior undergraduate and graduate engineering students. It delivers a complete introduction to finite element methods and to automatic adaptation (error estimation) that will enable students to understand and use FEA as a true engineering tool. It has been specifically developed to be accessible to non-mathematics students and provides the only complete text for FEA with error estimators for non-mathematicians. Error estimation is taught on nearly half of all FEM courses for engineers at senior undergraduate and postgraduate level; no other existing textbook for this market covers this topic.* The only introductory FEA text with error estimation for students of engineering, scientific computing and applied mathematics
* Includes source code for creating and proving FEA error estimators
* Complete with homework exercises and supporting website with instructor's solutions manual
This key text is written for senior undergraduate and graduate engineering students. It delivers a complete introduction to finite element methods and to automatic adaptation (error estimation) that will enable students to understand and use FEA as a true engineering tool. It has been specifically developed to be accessible to non-mathematics students and provides the only complete text for FEA with error estimators for non-mathematicians. Error estimation is taught on nearly half of all FEM courses for engineers at senior undergraduate and postgraduate level; no other existing textbook for this market covers this topic.The only introductory FEA text with error estimation for students of engineering, scientific computing and applied mathematics
Synopsis
In modern engineering analysis it is rare to find a project that does not require some type of finite element analysis (FEA) and error estimation is the key to automating the adaptation of the FEA process. This key textbook delivers a complete introduction to finite element methods and to automatic adaptation, enabling students to understand and use FEA as a true engineering tool. In addition to basic finite element theory, the book covers error estimation processes and associated computational procedures.
Key features:
• A complete course textbook, supported by a primer chapter on mathematical preliminaries including functional analysis
• Specifically developed to be accessible to non-mathematics students
• Delivers a clear understanding of the theory and limitations of automatic adaptation based on error analysis
• Ideal for users of ANSYS, ABAQUS, NASTRAN, MARC and other FEM software
• Includes detailed example applications in linear heat transfer, stress analysis and other fields
• Online support material, including a finite element library of Fortran 95 source programs, application and data files, plus an extensive suite of MATLAB plotting scripts
• Includes homework exercises, with separate online instructor solutions manual