Full Index for Scripted foilset 
| This derives the finite element method for a simple two dimensional Laplacian with triangular elements |
| We use this to motivate conjugate gradient as a variant of steepest descent for variational principle underlying FEM |
| We discuss preconditioning, parallelism and convergence of general conjugate gradient method |
)(focus style:
) Denote Foils where HTML is sufficient
(focus style:
) Denote Foils where Image is not available
CPS615 -- Base Course for the Simulation Track of Computational Science
Abstract of CPS615 Finite Element/Conjugate Gradient Presentation 
19:Integral Formulation of Finite Element Method 20:Variation in Integral 21:Equivalence of Integral and Differential Formulation of Laplace's Equation 22:Discretization of Integral 23:Triangular Elements in Two Dimensions 24:Example for Two-Dimensional Triangular Elements 25:Bilinear Form of Integral with Triangular Elements 26:Formula for Stiffness Matrix Element 27:Finite Element Equations 28:Structure of Stiffness Matrix and Its Assembly 29:Conditions on Triangulation 30:Introduction to Poor Person's Conjugate Gradient 31:Conjugate Gradient Iteration for Quadratic Form 32:Conjugate Gradient and Method of Steepest Descent 33:Conjugate Gradient for Finite Element Problems 34:Poor Person's Conjugate Gradient and Eigenvalues of Matrix 35:Diagonalization of Quadratic Form 36:Diagonalization of Conjugate Gradient Equations 37:Convergence of Conjugate Gradient in Diagonalized Form 38:Clarification of Eigenvalue Analysis for Conjugate Gradient and Jacobi Iteration 39:Intuitive Description of Poor Person's Conjugate Gradient Algorithm 40:Improvement of Poor Person's Conjugate Gradient with Orthonormal Iteration 41:Full Conjugate Gradient Algorithm 42:Overview of Parallelism in Conjugate Gradient 43:Parallel Issues in Calculation of Matrix Elements 44:Scalar Products in Parallel Conjugate Gradient 45:Preconditioning in Conjugate Gradient 46:Convergence of Conjugate Gradient Full WebWisdom URL and this Foilset Search
This contains all WebWisdom links preceded by those referenced in this foilset