Finite Element Analysis with Error Estimators: An Introduction to the FEM and Adaptive Error Analysis for Engineering Students

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Overview

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

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

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Product Details

  • ISBN-13: 9780750667227
  • Publisher: Elsevier Science
  • Publication date: 8/4/2005
  • Pages: 512
  • Product dimensions: 0.94 (w) x 7.44 (h) x 9.69 (d)

Table of Contents

Introduction, Mathematical Premliminaries, Element Interpolation and Local Coordinates, One-Dimensional Integration, Error Estimation for Elliptic Problems, Super-convergent Patch Recovery, Variational Methods, Cylindrical Analysis Problems, General Interpolation, Integration Methods, Scalar Fields, Vector Fields, Index, Solutions Manual

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