Parallel and Element Based

grey Box Linear Equation Solver

PEBBLES is an Algebraic Multigrid package for solving large, (sparse, symmetric) positive definite linear equations which arise in a Finite Element (Finite Difference, Finite Integration Technique) discretization of elliptic partial differential equations of second order. The interface to a Finite Element program is based on the element stiffness matrices or the matrix itself. PEBBLES is written in C++ and is supplied with an C++, C and an F77 interface (an F90 interface is also possible).

PEBBLES is a research code where especially the following items are realized:

- element preconditioning
- different interpolation schemes
- different coarsening strategies
- several Krylov subspace methods (PCG, QMR, BiCGCR, ...)
- ...

- positive definite matrices arising from a scalar elliptic equation of second order (nodal FE-functions)
- positive definite matrices arising from a system of elliptic equations of second order (nodal FE-functions)
- positive definite matrices which are (moderate) non-symmetric
- a sequence of spectrally equivalent matrices, which typically arise in a time-dependent or non-linear calculation
- FE-discretization with edge FE-function
- potential type equations in parallel
- techniques for multiple right-hand sides

** Performance of PEBBLES**

** **
Some different numerical studies are presented for

**How to get a version of PEBBLES
?**

In order to get a version of
PEBBLES you have to fill in **two** license agreements ps / pdf
and send it to the following address

O.Univ.Prof. Dr. Ulrich Langer

Institute of Computational Mathematics

University of Linz

Altenbergerstr. 69

A-4040 LINZ, AUSTRIA

or send a fax to

++43 70 2468 9148

As soon as we get the two license agreements , we will send the source code and the second license agreement to you. Please make sure to put the right e-mail address and the computer platform (we support SGI, SUN and LINUX) you are working on, on the license agreement. An User's Guide for PEBBLES is available.

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