<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0188-9532</journal-id>
<journal-title><![CDATA[Revista mexicana de ingeniería biomédica]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. ing. bioméd]]></abbrev-journal-title>
<issn>0188-9532</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Ingeniería Biomédica]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0188-95322025000100101</article-id>
<article-id pub-id-type="doi">10.17488/rmib.46.1.1</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Fast Computational Modeling Based on the Boundary Element Method Towards the Design of an Ultrasonic Biomedical Applicator]]></article-title>
<article-title xml:lang="es"><![CDATA[Modelado Computacional Rápido Basado en el Método del Elemento de Frontera Hacia el Diseño de un Aplicador Biomédico Ultrasónico]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Martínez-Valdez]]></surname>
<given-names><![CDATA[Raquel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Bazán]]></surname>
<given-names><![CDATA[Ivonne]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma de Aguascalientes  ]]></institution>
<addr-line><![CDATA[ Aguascalientes]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>04</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>04</month>
<year>2025</year>
</pub-date>
<volume>46</volume>
<numero>1</numero>
<fpage>6</fpage>
<lpage>20</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0188-95322025000100101&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0188-95322025000100101&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0188-95322025000100101&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The aim of this work is to analyze the usage of the boundary element method (BEM) as a fast computational tool for solving large ultrasonic field problems, i.e. 3D models. A proposed tridimensional radiating surface SR was modeled by means of BEM and the finite element method (FEM). Four time-harmonics models were developed: two containing the entire SR and two considering a symmetrical plane at half-length of the radiator. BEM solutions were validated with FEM models by contours at -3 dB and -6 dB pressure decays, areas within the contours, elliptical shape ratio Er and ellipsoidal focal volume approximations. The average differences in pressure and distance at the focus were 39.875 Pa and 0.4515 mm, respectively; the areas within the contours show differences between 0.6 mm2 and 2.3 mm2. The Er of the focal zone was over 92 %, while the ellipsoidal volume approximation showed differences between 0.0817 mm3 to 1.4632 mm3 at -3 dB, and 1.2354 mm3 to 4.1144 mm3 at -6 dB. Analyzed data suggest the use of BEM to model the ultrasonic beam pattern in a lossless medium during ultrasonic biomedical applicators design, reducing the solution time from 22 h with FEM to 2 min with BEM.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen El objetivo de este trabajo es analizar el uso del método del elemento de frontera (BEM) como una herramienta computacional rápida para resolver campos acústicos en modelos 3D. Una superficie radiante tridimensional SR propuesta se modeló por medio de BEM y del método del elemento finito (FEM). Se desarrollaron 4 modelos en el dominio de la frecuencia: 2 con la SR completa y 2 considerando un plano de simetría a la mitad de SR. Los modelos BEM se validaron con los modelos FEM por medio de contornos de presión a -3 dB y -6 dB, áreas dentro de los contornos, relación de forma elíptica Er y aproximación elipsoidal focal. Las diferencias promedio en presión y distancia focales fueron 39.875 Pa y 0.4515 mm, respectivamente; las áreas dentro de los contornos mostraron diferencias entre 0.6 mm2 y 2.3 mm2. La Er focal fue &gt;92 %, mientras que la aproximación volumétrica elipsoidal mostró diferencias entre 0.0817-1.4632 mm3 a -3 dB, y 1.2354-4.1144 mm3 a -6 dB. Los resultados sugieren el uso de BEM para modelar el patrón acústico en medios sin pérdidas durante el diseño de aplicadores biomédicos ultrasónicos reduciendo el tiempo de solución de 22 h (FEM) a 2 min (BEM).]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[acoustic field modeling]]></kwd>
<kwd lng="en"><![CDATA[boundary element method]]></kwd>
<kwd lng="en"><![CDATA[finite element method]]></kwd>
<kwd lng="en"><![CDATA[focused ultrasound]]></kwd>
<kwd lng="en"><![CDATA[ultrasonic biomedical applicators]]></kwd>
<kwd lng="es"><![CDATA[aplicador biomédico ultrasónico]]></kwd>
<kwd lng="es"><![CDATA[método del elemento finito]]></kwd>
<kwd lng="es"><![CDATA[método del elemento de frontera]]></kwd>
<kwd lng="es"><![CDATA[modelado de campo acústico]]></kwd>
<kwd lng="es"><![CDATA[ultrasonido focalizado]]></kwd>
</kwd-group>
</article-meta>
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