PLTMG: A Software Package for Solving Elliptic Partial Differential Equations
PLTMG: A Software Package for Solving Elliptic Partial Differential Equations
£34.99
GBPIntended mainly for use as a reference manual, this third edition encompasses all the improvements of the newest version of the PLTMG software package. This updated version introduces several significant changes, including the following: The data structures defining the domain (triangulation and skeleton) have been simplified; more general boundary conditions are allowed; the internal data structure (triangle tree) has been replaced by a simple triangulation; the adaptive algorithms have been revised to use this simple data structure; the linear equations solvers are multigraph methods, which are simple ILU factorizations with strong connections to the hierarchical basis multigrid method; the graphics packages have been improved and now include expanded options and the test driver has a new X-Windows gui option.
Product details
April 1998Paperback
9780898714098
122 pages
255 × 179 × 10 mm
0.228kg
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Table of Contents
- Preface
- 1. Introduction. Problem Specification
- Installation
- Significant Changes
- 2. Data Structures. Overview
- The Triangulation
- The Skeleton
- Parameter and Work Arrays
- Coefficient Functions
- 3. Mesh Generation. Overview
- Creating a Triangulation from a Skeleton
- A Posteriori Error Estimates
- Adaptive Mesh Refinement and Unrefinement
- Adaptive Mesh Smoothing
- Uniform Refinement
- Creating a Skeleton from a Triangulation
- Examples
- 4. Equation Solution. Overview
- Discretization and Numerical Quadrature
- Continuation and the Parameter IPROB
- Solving Nonlinear Systems
- Solving Linear Systems
- Subroutine PLTEVL
- Examples
- 5. Graphics. Overview
- Subroutine TRIPLT
- Subroutine INPLT
- Subroutine GPHPLT
- Subroutine MTXPLT
- 6. Test Driver. Overview
- Terminal Mode
- X-Windows Mode
- Batch Mode
- Array Dimensions and Initialization
- Reading and Writing Files
- Journal Files
- Subroutine USRCMD
- Subroutine GDATA
- Machine Dependent Routines
- 7. Test Problems. Overview
- Test Problem CIRCLE
- Test Problem SQUARE
- Test Problem DOMAINS
- Test Problem NACA
- Test Problem JCN
- References
- Index.
