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PLTMG: A Software Package for Solving Elliptic Partial Differential Equations

PLTMG: A Software Package for Solving Elliptic Partial Differential Equations
Users' Guide 8.0

£34.99

Part of Software, Environments and Tools

  • Date Published: April 1998
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898714098

£ 34.99
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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About the Authors
  • Intended 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have been simplified; more general boundary conditions are allowed; the internal data structure (triangle tree) has been replaced by a simple triangulation; the adaptive algorithms have been revised to use this simple data structure; the linear equations solvers are multigraph methods, which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.

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    Product details

    • Date Published: April 1998
    • format: Paperback
    • isbn: 9780898714098
    • length: 122 pages
    • dimensions: 255 x 179 x 10 mm
    • weight: 0.228kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • 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.

  • Author

    Randolph E. Bank

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