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	<id>https://strike.scec.org/scecwiki/index.php?action=history&amp;feed=atom&amp;title=Domain_Reduction_Method</id>
	<title>Domain Reduction Method - Revision history</title>
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	<updated>2026-06-10T07:09:38Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://strike.scec.org/scecwiki/index.php?title=Domain_Reduction_Method&amp;diff=10077&amp;oldid=prev</id>
		<title>Maechlin at 00:48, 13 April 2014</title>
		<link rel="alternate" type="text/html" href="https://strike.scec.org/scecwiki/index.php?title=Domain_Reduction_Method&amp;diff=10077&amp;oldid=prev"/>
		<updated>2014-04-13T00:48:45Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 00:48, 13 April 2014&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l3&quot; &gt;Line 3:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 3:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Table 1. Simulation domain characteristics and properties of a case study for the Northridge earthquake, and the simulation performance for the DRM steps I and II for two soil conditions.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Table 1. Simulation domain characteristics and properties of a case study for the Northridge earthquake, and the simulation performance for the DRM steps I and II for two soil conditions.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Image:DRM_Hercules.png|left|&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;250px&lt;/del&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Image:DRM_Hercules.png|left|&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;350px&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Maechlin</name></author>
		
	</entry>
	<entry>
		<id>https://strike.scec.org/scecwiki/index.php?title=Domain_Reduction_Method&amp;diff=10076&amp;oldid=prev</id>
		<title>Maechlin at 00:48, 13 April 2014</title>
		<link rel="alternate" type="text/html" href="https://strike.scec.org/scecwiki/index.php?title=Domain_Reduction_Method&amp;diff=10076&amp;oldid=prev"/>
		<updated>2014-04-13T00:48:36Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 00:48, 13 April 2014&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l3&quot; &gt;Line 3:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 3:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Table 1. Simulation domain characteristics and properties of a case study for the Northridge earthquake, and the simulation performance for the DRM steps I and II for two soil conditions.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Table 1. Simulation domain characteristics and properties of a case study for the Northridge earthquake, and the simulation performance for the DRM steps I and II for two soil conditions.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Image:DRM_Hercules.png|left|&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;150px&lt;/del&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Image:DRM_Hercules.png|left|&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;250px&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Maechlin</name></author>
		
	</entry>
	<entry>
		<id>https://strike.scec.org/scecwiki/index.php?title=Domain_Reduction_Method&amp;diff=10075&amp;oldid=prev</id>
		<title>Maechlin at 00:48, 13 April 2014</title>
		<link rel="alternate" type="text/html" href="https://strike.scec.org/scecwiki/index.php?title=Domain_Reduction_Method&amp;diff=10075&amp;oldid=prev"/>
		<updated>2014-04-13T00:48:24Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 00:48, 13 April 2014&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l3&quot; &gt;Line 3:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 3:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Table 1. Simulation domain characteristics and properties of a case study for the Northridge earthquake, and the simulation performance for the DRM steps I and II for two soil conditions.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Table 1. Simulation domain characteristics and properties of a case study for the Northridge earthquake, and the simulation performance for the DRM steps I and II for two soil conditions.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;File&lt;/del&gt;:&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;DRM Hercules&lt;/del&gt;.png&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[Image&lt;/ins&gt;:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;DRM_Hercules&lt;/ins&gt;.png&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;|left|150px]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Maechlin</name></author>
		
	</entry>
	<entry>
		<id>https://strike.scec.org/scecwiki/index.php?title=Domain_Reduction_Method&amp;diff=10074&amp;oldid=prev</id>
		<title>Maechlin at 00:47, 13 April 2014</title>
		<link rel="alternate" type="text/html" href="https://strike.scec.org/scecwiki/index.php?title=Domain_Reduction_Method&amp;diff=10074&amp;oldid=prev"/>
		<updated>2014-04-13T00:47:40Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 00:47, 13 April 2014&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l2&quot; &gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Table 1. Simulation domain characteristics and properties of a case study for the Northridge earthquake, and the simulation performance for the DRM steps I and II for two soil conditions.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Table 1. Simulation domain characteristics and properties of a case study for the Northridge earthquake, and the simulation performance for the DRM steps I and II for two soil conditions.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;File:DRM Hercules.png&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Maechlin</name></author>
		
	</entry>
	<entry>
		<id>https://strike.scec.org/scecwiki/index.php?title=Domain_Reduction_Method&amp;diff=10072&amp;oldid=prev</id>
		<title>Maechlin at 00:46, 13 April 2014</title>
		<link rel="alternate" type="text/html" href="https://strike.scec.org/scecwiki/index.php?title=Domain_Reduction_Method&amp;diff=10072&amp;oldid=prev"/>
		<updated>2014-04-13T00:46:29Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 00:46, 13 April 2014&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;During this allocation we implemented the domain reduction method (DRM) in Hercules. The DRM is a modular two-step, finite-element methodology for modeling earthquake ground motion in highly heterogeneous localized regions with large contrasts in wavelengths. The DRM solves the problem of multiple physical scales by subdividing the original problem into two simpler ones. In the first problem, the earthquake source and propagation path effects are simulated in a model that encompasses the source and the background structure from which the localized features (i.e., the buildings) have been removed. This first step entails saving the displacement field over a (one-element) layer composed by two adjacent surfaces that define the interface between the exterior and interior regions. The second step solves the problem in the interior region containing the features. This second model takes as input a set of equivalent seismic or effective forces, which are calculated from the displacements obtained in the first step and the properties of elements in the interface.  The DRM has significant implications in terms of computational resources usage and performance. Table 1 shows the simulation domain characteristics and properties of a case study for the Northridge earthquake, and the simulation performance for the DRM steps I and II for two soil conditions. It illustrates the computational gain obtained from using DRM for parametric studies in the Step II sub-region. These simulations were run in Kraken at NICS.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;During this allocation we implemented the domain reduction method (DRM) in Hercules. The DRM is a modular two-step, finite-element methodology for modeling earthquake ground motion in highly heterogeneous localized regions with large contrasts in wavelengths. The DRM solves the problem of multiple physical scales by subdividing the original problem into two simpler ones. In the first problem, the earthquake source and propagation path effects are simulated in a model that encompasses the source and the background structure from which the localized features (i.e., the buildings) have been removed. This first step entails saving the displacement field over a (one-element) layer composed by two adjacent surfaces that define the interface between the exterior and interior regions. The second step solves the problem in the interior region containing the features. This second model takes as input a set of equivalent seismic or effective forces, which are calculated from the displacements obtained in the first step and the properties of elements in the interface.  The DRM has significant implications in terms of computational resources usage and performance. Table 1 shows the simulation domain characteristics and properties of a case study for the Northridge earthquake, and the simulation performance for the DRM steps I and II for two soil conditions. It illustrates the computational gain obtained from using DRM for parametric studies in the Step II sub-region. These simulations were run in Kraken at NICS.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Table 1. Simulation domain characteristics and properties of a case study for the Northridge earthquake, and the simulation performance for the DRM steps I and II for two soil conditions.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Maechlin</name></author>
		
	</entry>
	<entry>
		<id>https://strike.scec.org/scecwiki/index.php?title=Domain_Reduction_Method&amp;diff=10071&amp;oldid=prev</id>
		<title>Maechlin: Created page with 'During this allocation we implemented the domain reduction method (DRM) in Hercules. The DRM is a modular two-step, finite-element methodology for modeling earthquake ground moti…'</title>
		<link rel="alternate" type="text/html" href="https://strike.scec.org/scecwiki/index.php?title=Domain_Reduction_Method&amp;diff=10071&amp;oldid=prev"/>
		<updated>2014-04-13T00:46:09Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;#039;During this allocation we implemented the domain reduction method (DRM) in Hercules. The DRM is a modular two-step, finite-element methodology for modeling earthquake ground moti…&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;During this allocation we implemented the domain reduction method (DRM) in Hercules. The DRM is a modular two-step, finite-element methodology for modeling earthquake ground motion in highly heterogeneous localized regions with large contrasts in wavelengths. The DRM solves the problem of multiple physical scales by subdividing the original problem into two simpler ones. In the first problem, the earthquake source and propagation path effects are simulated in a model that encompasses the source and the background structure from which the localized features (i.e., the buildings) have been removed. This first step entails saving the displacement field over a (one-element) layer composed by two adjacent surfaces that define the interface between the exterior and interior regions. The second step solves the problem in the interior region containing the features. This second model takes as input a set of equivalent seismic or effective forces, which are calculated from the displacements obtained in the first step and the properties of elements in the interface.  The DRM has significant implications in terms of computational resources usage and performance. Table 1 shows the simulation domain characteristics and properties of a case study for the Northridge earthquake, and the simulation performance for the DRM steps I and II for two soil conditions. It illustrates the computational gain obtained from using DRM for parametric studies in the Step II sub-region. These simulations were run in Kraken at NICS.&lt;/div&gt;</summary>
		<author><name>Maechlin</name></author>
		
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