## Advances in Computer Methods for Partial Differential Equations-III: Proceedings of the Third IMACS International Symposium on Computer Methods for Partial Differential Equations, Held at Lehigh University, Bethlehem, Pennsylvania, U. S. A., June 20-22, 1979 |

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### Contents

HIGH ORDER DISCRETIZATIONS OF THE HELMHOLTZ PROBLEM WHICH ADMIT ITERATIVE SOLUTION TECHNIQUES | iii |

A FINITE ELEMENT PROGRAM WITH AUTOMATIC USERCONTROLLED MESH GRADING G Sewell | 8 |

A COLLOCATION METHOD FOR MILDLY NONLINEAR ELLIPTIC EQUATIONS ON GENERAL 2D DOMAINS E N Houstis | 18 |

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### Common terms and phrases

accuracy algorithm analysis applied boundary conditions boundary layer boundary value problem calculation coefficients collocation collocation method COMPUTER METHODS conjugate gradient consider constant convection convergence coordinates defined denote derivatives developed difference equations differencing diffusion dimensional Dirichlet discretization domain eigenvalues elliptic equa evaluated example Figure finite difference methods finite element method flow fluid flux formulation function Galerkin Galerkin method given grid points heat implicit initial integral interpolation iterative methods ITPACK Laplace transform linear system Math Mathematics matrix mesh points METHODS FOR PARTIAL nonlinear numerical method numerical solution obtained oil shale operator parameter partial differential equations Poisson equation polynomials pressure procedure region satisfy scheme shale solved solver space Sparse Matrix spatial spectral stability step STEPLEMAN storage surface symmetric Table techniques temperature Theorem tion transform truncation error variables vector velocity vertical viscosity wave zero