## An Introduction to Linear and Nonlinear Finite Element Analysis: A Computational ApproachAlthough finite element courses have become more popular in the undergraduate and graduate engineering, science, and applied mathematics curricula, there are very few introductory textbooks geared toward students accustomed to using computers for everyday assignments and research. 'An Introduction to Linear and Nonlinear Finite Element Analysis' fills this gap, offering a concise, integrated presentation of methods, applications, computational software tools, and hands-on programming projects. Suitable for junior/senior undergraduate and first-year graduate courses, the book is aimed at students from a variety of disciplines: engineering, physics, geophysics, and applied mathematics. * Numerous examples and exercises with diverse applications to linear and nonlinear heat transfer, fluid flows, mechanical vibrations, electromagnetics, and structures * Supporting material and selected solutions to problems available at the authors' websites: http://www.math.uno.edu/fac/pkythe.html and http://www.math.uno.edu/fac/dwei.html * Minimal prerequisites: a course in calculus of several variables, differential equations and linear algebra, as well as some knowledge of computers |

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### Contents

Introduction | 1 |

OneDimensional Shape Functions | 25 |

OneDimensional SecondOrder Equation | 37 |

OneDimensional FourthOrder Equation | 75 |

TwoDimensional Elements | 89 |

TwoDimensional Problems | 107 |

More TwoDimensional Problems | 137 |

Axisymmetric Heat Transfer | 175 |

Plane Elasticity | 269 |

Stokes Equations and Penalty Method | 297 |

Vibration Analysis | 323 |

Computer Codes | 351 |

A Integration Formulas | 393 |

Temporal Approximations | 405 |

E Greens Identities | 421 |

G GradientBased Methods | 429 |

### Other editions - View all

An Introduction to Linear and Nonlinear Finite Element Analysis: A ... Prem Kythe,Dongming Wei Limited preview - 2011 |

An Introduction to Linear and Nonlinear Finite Element Analysis: A ... Prem Kythe,Dongming Wei No preview available - 2013 |

An Introduction to Linear and Nonlinear Finite Element Analysis Prem Kythe,Dongming Wei No preview available - 2003 |