An Introduction to Linear and Nonlinear Finite Element Analysis: A Computational Approach

Preface Notation Introduction One-Dimensional Shape Functions One-Dimensional Second-Order Equations One-Dimensional Fourth-Order Equations Two-Dimensional Elements Two-Dimensional Problems More Two-Dimensional Problems Axisymmetric Heat Transfer Transient Problems Single Nonlinear One-Dimensional Equations Plane Elasticity Stokes Equations and Penalty Method Vibration Analysis Computer Codes: Mathematica Codes, Ansys Codes, MatLab Codes, Fortran Codes Appendix A: Integration Formulas Appendix B: Special Cases Appendix C: Temporal Approximations Appendix D: Isoparametric Elements Appendix E: Green's Identities Appendix F: Gaussian Quadrature Appendix G: Gradient-Based Methods Bibliography Index