<!-------- @HEADER ! ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! ! Zoltan Toolkit for Load-balancing, Partitioning, Ordering and Coloring ! Copyright 2012 Sandia Corporation ! ! Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation, ! the U.S. Government retains certain rights in this software. ! ! Redistribution and use in source and binary forms, with or without ! modification, are permitted provided that the following conditions are ! met: ! ! 1. Redistributions of source code must retain the above copyright ! notice, this list of conditions and the following disclaimer. ! ! 2. Redistributions in binary form must reproduce the above copyright ! notice, this list of conditions and the following disclaimer in the ! documentation and/or other materials provided with the distribution. ! ! 3. Neither the name of the Corporation nor the names of the ! contributors may be used to endorse or promote products derived from ! this software without specific prior written permission. ! ! THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY ! EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE ! IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR ! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE ! CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, ! EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, ! PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR ! PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF ! LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING ! NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS ! SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ! ! Questions? Contact Karen Devine kddevin@sandia.gov ! Erik Boman egboman@sandia.gov ! ! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! ! @HEADER -------> <!doctype html public "-//w3c//dtd html 4.0 transitional//en"> <html> <head> <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1"> <meta name="GENERATOR" content="Mozilla/4.76 [en] (X11; U; Linux 2.4.2-2smp i686) [Netscape]"> <meta name="sandia.approval_type" content="formal"> <meta name="sandia.approved" content="SAND2007-4748W"> <meta name="author" content="Zoltan PI"> <title>Zoltan User's Guide: Geometric (Coordinate-Based) Partitioners</title> </head> <body bgcolor="#FFFFFF"> <div align=right><b><i><a href="ug.html">Zoltan User's Guide</a> | <a href="ug_alg_rcb.html">Next</a> | <a href="ug_alg_random.html">Previous</a></i></b></div> <h2> <a name="GEOM"></a>Geometric (Coordinate-based) Partitioners</h2> Geometric partitioners divide data into parts based on the physical coordinates of the data. Objects assigned to a single part tend to be physically close to each other in space. Such partitioners are very useful for applications that don't have explicit connectivity information (such as particle methods) or for which geometric locality is important (such as contact detection). They are also widely used in adaptive finite element methods because, in general, they execute very quickly and yield moderately good partition quality. <p> The geometric methods are the easiest non-trivial partitioners to incorporate into applications, as they require only four callbacks: two returning <a href="ug_query_lb.html#General Functions">object information</a> and two returning <a href="ug_query_lb.html#Geometry-based Functions">coordinate information</a>. <p> We group <a href="ug_alg_reftree.html">refinement-tree partitioning</a> for adaptive mesh refinement applications into the geometric partitioners because it uses geometric information to determine an initial ordering for coarse elements of adaptively refined meshes. The refinement-tree partitioner also requires <a href="ug_query_lb.html#Tree-based Functions">tree-based callbacks</a> with connectivity information between coarse and fine elements in refined meshes. <blockquote> <a href="ug_alg_rcb.html">Recursive Coordinate Bisection</a> (RCB) <br><a href="ug_alg_rib.html">Recursive Inertial Bisection</a> (RIB) <br><a href="ug_alg_hsfc.html">Hilbert Space-Filling Curve Partitioning</a> (HSFC) <br><a href="ug_alg_reftree.html">Refinement Tree Based Partitioning</a> (Reftree) </blockquote> <p> <hr WIDTH="100%">[<a href="ug.html">Table of Contents</a> | <a href="ug_alg_rcb.html">Next: Recursive Coordinate Bisection</a> | <a href="ug_alg_random.html">Previous: Random Partitioning</a> | <a href="https://www.sandia.gov/general/privacy-security/index.html">Privacy and Security</a>] </body> </html>