## Finite element analysisCovers the fundamentals of linear theory of finite elements, from both mathematical and physical points of view. Major focus is on error estimation and adaptive methods used to increase the reliability of results. Incorporates recent advances not covered by other books. |

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### Contents

MATHEMATICAL MODELS AND ENGINEERING | 1 |

GENERALIZED SOLUTIONS BASED ON THE | 10 |

FINITE ELEMENT DISCRETIZATIONS IN ONE | 32 |

Copyright | |

15 other sections not shown

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### Common terms and phrases

analogous approximation assumed assumption asymptotic BabuSka basis functions boundary conditions coefficients computed constant coordinates corresponding degrees of freedom denoted discretization discussed in Section displacement components displacement function displacement vector dx dy E(Sl eigenvalue elastic body energy norm engineering error estimation error in energy error indicators exact solution example Exercise fastener finite element mesh Finite Element Method finite element solution finite element space formulation functions defined Gaussian quadrature hard simple support hierarchic shape functions integration internal modes Kirchhoff model Legendre polynomials linear load vector mathematical model nodes number of degrees obtained p-distribution p-extensions p-Version plane strain plate models Poisson's ratio polynomial degree principal stress principle of virtual problem procedure quadrature quadrilateral element rate of convergence relative error resp satisfies shear force shell models shown in Figure singular points smooth solution domain stiffness matrix strain energy stress intensity factors symmetric values vertex zero

### References to this book

The Finite Element Method and Its Reliability Ivo Babuška,Theofanis Strouboulis Limited preview - 2001 |

Methods for Solving Systems of Nonlinear Equations: Second Edition Werner C. Rheinboldt No preview available - 1998 |