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