## Computer Methods for Partial Differential Equations: Elliptic equations and the finite-element method |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

II11 INTRODUCTION | 3 |

2 FOURIER SERIES | 35 |

4 TWOPOINT BOUNDARYVALUE PROBLEMS I | 75 |

Copyright | |

9 other sections not shown

### Other editions - View all

### Common terms and phrases

algebraic equations analytic applied approximate solution approximation of elliptic basis functions bilinear boundary conditions calculations calculus of variations called coefficients collocation points Consider convergence coordinates corresponding defined derivatives described diagonal dimensions discrete approximation discrete equations discrete Fourier discrete Fourier transforms displacement domain element shapes elliptic equations elliptic problems Euler-Lagrange equation evaluated exact solution example expression finite elements finite-difference approximation finite-difference methods finite-element method formulas Fourier series Fourier sine series Fourier transform function U(x Galerkin Galerkin's method Gaussian points given higher-order identical integration interpolation isoparametric iteration Laplace's equation LU decomposition mathematics matrix nodal points nodal values nodes numerical solution obtained orthogonal Parseval's relation partial differential equations Poisson's equation procedure quadratic quadrature Rayleigh-Ritz method rectangle rectangular relation satisfy Section shape functions side simple solved subdomains theorem THIRD KIND tion triangles triangular elements truncation error two-point boundary-value problem variables vector zero