Contact us on (02) 8445 2300
For all customer service and order enquiries

Woodslane Online Catalogues

9780898712926 Academic Inspection Copy

Multilevel Projection Methods for Partial Differential Equations

Description
Table of
Contents
Google
Preview
The multilevel projection method is a new formalism that provides a framework for the development of multilevel algorithms in a very general setting. This methodology guides the choices of all the major multilevel processes, including relaxation and coarsening, and it applies directly to global or locally refined discretizations. This book was developed from lectures at the CBMS-NSF Regional Conference on Multigrid and Multilevel Adaptive Methods for Partial Differential Equations in June 1991, and is a supplement to Multilevel Adaptive Methods for Partial Differential Equations, also written by Stephen F. McCormick.
Chapter 1: Fundamentals. Introduction. Notation and Conventions Prototype Problems Discretization by Projections Realizability and Nodal Representations Interlevel Transfer Matrices Error Measures Chapter 2: Multilevel Projections Methods. Abstract Framework: The Multilevel Projection Method (PML) The Multigrid Method (MG) the Fast Adaptive Composite Grid Method (FAC) Prototype Problems Relaxation Coarse-Level Realizability and Recursiveness Parallelization: Asynchronous FAC (AFAC) Other Practical Matters Summary Chapter 3: Unigrid. Basic Unigrid Scheme. Multgrid Simulation FAC Simulation Performance Assessment Caveats Chapter 4: Paradigms. Rayleigh-Ritz 1: Parameter Estimation Rayleigh-Ritz 2: Transport Equations: Galerkin 1: General Eigenvalue Problems Galerkin 2: Riccati Equations Petrov-Galerkin 1: The Finite Volume Element Method (FVE) Petrov-Galerkin 2: Image Reconstruction Chapter 5: Perspectives. References Appendix A: Simple Unigrid Code Appendix B: More Efficient Unigrid Code Appendix C: Modification to Unigrid Code for Local Refinement.
Google Preview content