I am pleased to announce the availability of Version 1.0 of PHAML.

PHAML (Parallel Hierarchical Adaptive MultiLevel) is a Fortran 90

module for the solution of second order linear elliptic partial

differential equations of the form

-( p(x,y) * u ) -( q(x,y) * u ) + r(x,y) * u = f(x,y)

x x y y

with Dirichlet, Neumann (natural), Periodic, or Mixed boundary

conditions,

where p>0, q>0, r, and f are functions of x and y.

It also solves elliptic eigenvalue problems where f is lambda * u and

the boundary conditions are homogeneous, and systems of elliptic PDEs.

Other types of differential equations (e.g. parabolic, nonlinear) can

be solved using PHAML as the core elliptic solver in an iteration.

PHAML features:

- low and high order finite elements on triangle grids

- h-, p-, and hp-adaptive mesh refinement based on newest node

bisection

- hierarchical basis multigrid linear system solver

- refinement-tree based partitioning method for load balancing

- arbitrary 2D connected, bounded domains, including curved

boundaries and holes

- Fortran 90 implementation

- message passing parallelism

- extensive visualization

PHAML optionally uses several other packages to enhance its basic

capabilities:

- system specific BLAS and LAPACK libraries, to improve performance

- MPI or PVM, for message-passing parallelism

- OpenGL, GLUT and f90gl, for visualization

- Zoltan, for dynamic load balancing methods other than the default

refinement-tree method

- PETSc, for iterative solvers other than the default multigrid

method

- hypre, for iterative solvers other than the default multigrid

method

- MUMPS, for a parallel direct sparse solver option

- SuperLU, for a parallel direct sparse solver option

- ARPACK, for eigenvalue problems

- triangle, for arbitrary domains

PHAML is useful as an elliptic PDE solver for scientific and

engineering

applications, an environment for the development of new numerical

methods and approaches to programming parallel computers, a testbed

for

comparative studies of different numerical methods and software

packages, and a classroom tool for classes on numerical methods or

parallel computing.

PHAML has been tested on clusters and distributed-memory parallel

computers with many Unix-like operating systems. The distribution

contains examples demonstrating its use for solving elliptic

equations, parabolic equations, nonlinear equations, systems of

elliptic equations, eigenvalue problems, and general domains.

The examples illustrate how to use it in either master/slave mode

with dynamic addition and deletion of processes, or in SPMD (single

program multiple data) mode where all processes are started

simulaneously. It can also be run as a sequential program.

For more information on the PHAML project, and to download the

software, please visit

http://math.nist.gov/phaml