Randolph E. Bank
Software, Environments, and Tools 5
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 The internal data structure (triangle tree) has been replaced by a simple triangulation; the adaptive algorithms have been revised to use this simple data structure.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.
 The test driver has a new XWindows gui option.
Audience
This book is intended for use as a reference manual for the PLTMG software package. PLTMG was developed as a prototype program for testing and verifying the properties of various multigrid and adaptive local mesh refinement algorithms.
Contents
Preface; Chapter 1: Introduction. Problem Specification; Installation; Significant Changes; Chapter 2: Data Structures. Overview; The Triangulation; The Skeleton; Parameter and Work Arrays; Coefficient Functions; Chapter 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; Chapter 4: Equation Solution. Overview; Discretization and Numerical Quadrature; Continuation and the Parameter IPROB; Solving Nonlinear Systems; Solving Linear Systems; Subroutine PLTEVL; Examples; Chapter 5: Graphics. Overview; Subroutine TRIPLT; Subroutine INPLT; Subroutine GPHPLT; Subroutine MTXPLT; Chapter 6: Test Driver. Overview; Terminal Mode; XWindows Mode; Batch Mode; Array Dimensions and Initialization; Reading and Writing Files; Journal Files; Subroutine USRCMD; Subroutine GDATA; Machine Dependent Routines; Chapter 7: Test Problems. Overview; Test Problem CIRCLE; Test Problem SQUARE; Test Problem DOMAINS; Test Problem NACA; Test Problem JCN; References; Index.
1998 / xii + 110 pages / Softcover / ISBN13: 9780898714098 / ISBN10: 0898714095 / List Price $58.00 / SIAM Member Price $40.60 / Order Code SE05
