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<h1 class="post-title">
<span class="font-weight-bold">Adrián</span> Amor Martín
</h1>
</header>
<article>
<div class="profile float-right">
<img class="img-fluid z-depth-1 rounded" src="/assets/img/prof_pic.jpg">
<div class="address">
<p>Radiofrequency, Microwave, Electromagnetics and Antennas Group</p> <p>University Carlos III of Madrid</p> <p>4.2.A05I</p> <p>Leganés, Spain</p>
</div>
</div>
<div class="clearfix">
<p>Born in Móstoles and raised in Toledo, Spain.
I am an <strong>assistant professor</strong> at University Carlos III of Madrid (Spain) from February 2021.</p>
<p>My research interests are <strong>computational electromagnetics</strong>, High Performance Computing (HPC) techniques and antenna
measurements. My Ph.D. dissertation included the development and implementation
of techniques (e.g. domain decomposition methods) to develop a finite element
code with hp adaptivity and different element shapes.</p>
<p>As a teaching assistant, I have imparted more than 800 teaching hours in different Telecommunication bachelor and master
degrees in the last 10 years.
As a researcher, I am part of <strong>20 indexed papers</strong> and <strong>43 conference papers</strong>.
I was a <strong>postdoctoral researcher</strong> at Saarland University from 2019 to 2020 with Prof. Dyczij-Edlinger.
I have also been a <strong>visiting scholar</strong> at The Ohio State University hosted by Prof.
Jin-Fa Lee for seven months, and at the University of Macau for two
months.</p>
<p>I am the current coordinator at the <strong><a href="https://www.coit.es/grupos-de-trabajo/gt-jovenes">GT-Jóvenes</a></strong> at the Spanish College of Telecommunications Engineers (COIT), and I have also been appointed to the Spanish committee of <strong><a href="https://ursi.es/comite-nacional/">URSI</a></strong> as the representative of young researchers in the field of radio science. I am also the representative of my university in the international working group IEEE P2816 APS/SC/CEM on computational electromagnetics.</p>
<p>You can download my personal CV <strong><a href="/assets/pdf/curriculum_en.pdf">here</a></strong>,
my CVN <strong><a href="https://cvn.fecyt.es/0000-0002-6123-4324">here</a></strong>,
and their abbreviated version <strong><a href="/assets/pdf/cva_aamor.pdf">here</a></strong>.</p>
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</div>
<div class="news">
<h2>news</h2>
<div class="table-responsive">
<table class="table table-sm table-borderless">
<tr>
<th style="width:15%" scope="row">Jul 18, 2023</th>
<td>
We got funding for a very interesting project (Spatial Audio and Array Processing for Industrial Applications and Digital Transformation: Efficient Implementations through Parallel and Approximate Computing), funded by Agencia Estatal de Investigación in their national call <em>Proyectos de Generación de Conocimiento 2022</em>, and I am the Principal Investigator with José A. Belloch. If you want to get involved in the project, just drop me an email!
</td>
</tr>
<tr>
<th style="width:15%" scope="row">Jun 12, 2023</th>
<td>
Our papers <em>A Rigorous Code Verification Process of the Domain Decomposition Method in a Finite Element Method for Electromagnetics</em> and <em>Hierarchical Universal Matrices for Curvilinear Tetrahedral H(curl) Finite Elements with Inhomogeneous Material Properties</em> have been accepted for publication in the IEEE Transactions of Antennas and Propagation. Check them out!
</td>
</tr>
<tr>
<th style="width:15%" scope="row">Apr 25, 2023</th>
<td>
We got funding for a very interesting project (SPACECAR - Caracterización de materiales mediante tecnología de microondas usando sistemas embebidos heterogéneos para el entorno espacial) funded by ARQUIMEA AEROSPACE DEFENCE AND SECURITY, where I am the Principal Investigator with José A. Belloch. If you want to get involved in the project, just drop me an email!
</td>
</tr>
<tr>
<th style="width:15%" scope="row">Mar 13, 2023</th>
<td>
Our paper <em>Interaction between linear polarized plane gravitational waves and a plane electromagnetic wave in the electromagnetic-gravity analogue</em> has been accepted for publication in the Physical Review D. Check it out!
</td>
</tr>
<tr>
<th style="width:15%" scope="row">Feb 24, 2023</th>
<td>
I have been elevated to IEEE Senior Member for my research activities. I hope to continue contributing to the society!
</td>
</tr>
<tr>
<th style="width:15%" scope="row">Dec 29, 2022</th>
<td>
Our paper <em>Propagation of light in the presence of gravity generated by static and spherically symmetric curved space-times using Maxwell equations</em> has been accepted for publication in the European Physical Journal C. Check it out!
</td>
</tr>
<tr>
<th style="width:15%" scope="row">Dec 2, 2022</th>
<td>
Our paper <em>Strategies to parallelize a finite element mesh truncation technique on multi-core and many-core architectures</em> has been accepted for publication in the Journal of Supercomputing. Check it out!
</td>
</tr>
<tr>
<th style="width:15%" scope="row">Nov 14, 2022</th>
<td>
I have been appointed as part of the Spanish National Committee at URSI. Looking forward to help!
</td>
</tr>
<tr>
<th style="width:15%" scope="row">Oct 4, 2022</th>
<td>
Our paper <em>Second-Order Nédélec Curl-Conforming Hexahedral Element for Computational Electromagnetics</em> has been accepted for publication in the IEEE Transactions on Antennas and Propagation. Check it out!
</td>
</tr>
<tr>
<th style="width:15%" scope="row">Jul 29, 2022</th>
<td>
Our paper <em>Tailored meshing for parallel 3D electromagnetic modeling using high-order edge elements</em> has been accepted for publication in the Journal of Computational Science. Check it out!
</td>
</tr>
<tr>
<th style="width:15%" scope="row">Jan 18, 2022</th>
<td>
Our paper <em>3D magnetotelluric modeling using high-order tetrahedral Nédélec elements on massively parallel computing platforms</em> has been accepted for publication in Computers & Geosciences. Check it out!
</td>
</tr>
<tr>
<th style="width:15%" scope="row">Jan 1, 2022</th>
<td>
We got funding for a very interesting project (MIMACUHSPACE-CM, MIcrowave MAterial Characterization Using Heterogeneous Systems-on-chip for SPACE applications) funded by the regional government of Madrid, where I am the Principal Investigator with José A. Belloch. If you want to get involved in the project, just drop me an email!
</td>
</tr>
<tr>
<th style="width:15%" scope="row">Dec 3, 2021</th>
<td>
Our paper <em>Test-Driven Development of a Substructuring Technique for the Analysis of Electromagnetic Finite Periodic Structures</em> has been accepted for publication in Applied Sciences. Check it out!
</td>
</tr>
<tr>
<th style="width:15%" scope="row">Apr 19, 2021</th>
<td>
Our paper <em>Adaptive Semi-Structured Mesh Refinement Techniques for the Finite Element Method</em> has been accepted for publication in Applied Sciences. Check it out!
</td>
</tr>
<tr>
<th style="width:15%" scope="row">Feb 1, 2021</th>
<td>
I have been appointed as Assistant Professor (Profesor Ayudante Doctor) at the University Carlos III of Madrid. See you in Madrid!
</td>
</tr>
</table>
</div>
</div>
<div class="publications">
<h2>selected publications</h2>
<ol class="bibliography"><li><div class="row">
<div class="col-sm-2 abbr">
</div>
<div id="aamor_ap22" class="col-sm-8">
<div class="title">Second-Order Nédélec Curl-Conforming Hexahedral Element for Computational Electromagnetics</div>
<div class="author">
<em>Amor-Martin, Adrian</em>,
and Garcia-Castillo, Luis E.
</div>
<div class="periodical">
<em>IEEE Transactions on Antennas and Propagation</em>,
2022.
</div>
<div class="links">
<a class="abstract btn btn-sm z-depth-0" role="button">Abs</a>
<a href="https://doi.org/10.1109/TAP.2022.3216554" class="btn btn-sm z-depth-0" role="button" target="_blank">HTML</a>
</div>
<!-- Hidden abstract block -->
<div class="abstract hidden">
<p>We follow a systematic approach to obtain mixed-order curl-conforming basis functions for the hexahedron that are compatible with basis functions for tetrahedra and triangular prisms previously published. The approach is mathematically sound since we obtain the functions as the dual basis with respect to properly discretized Nédélec degrees of freedom. Simple to use and well-conditioned bases without the need for added orthogonalization procedures are obtained. We provide simple closed-form expressions for second-order basis functions in a reference hexahedron in terms of integer coefficients and monomials. The expressions are ready to use as long as the appropriate geometric mappings are made. We apply the Method of Manufactured Solutions to a finite element double curl vector wave formulation for verification purposes; specifically, we make a study of the non-symmetrical structure of the corresponding tensor product finite element space. We also solve generalized eigenvalue problems for well-known cavities. We provide the open-source code for generating the coefficients, evaluating the basis functions, and computing the finite element matrices involved in some of the numerical solutions shown in the paper.</p>
</div>
</div>
</div>
</li>
<li><div class="row">
<div class="col-sm-2 abbr">
</div>
<div id="castillo_jcs22" class="col-sm-8">
<div class="title">Tailored Meshing for Parallel 3D Electromagnetic Modeling Using High-Order Edge Elements</div>
<div class="author">
Castillo-Reyes, Octavio,
<em>Amor-Martin, Adrian</em>,
Botella, Arnaud,
Anquez, Pierre,
and García-Castillo, Luis Emilio
</div>
<div class="periodical">
<em>Journal of Computational Science</em>,
2022.
</div>
<div class="links">
<a class="abstract btn btn-sm z-depth-0" role="button">Abs</a>
<a href="https://doi.org/10.1016/j.jocs.2022.101813" class="btn btn-sm z-depth-0" role="button" target="_blank">HTML</a>
</div>
<!-- Hidden abstract block -->
<div class="abstract hidden">
<p>We present numerical experiments for geophysics electromagnetic (EM) modeling based upon high-order edge elements and supervised h+p refinement approaches on massively parallel computers. Our high-order h+p refinement strategy is based on and extends the PETGEM code. We focus on the performance study in terms of accuracy, convergence rate, and computational effort to solve real-life 3D setups based on synthetic and experimental data for energy reservoir characterization. These test cases show variable resolution discretization needs and realistic physical parameters. In general, our numerical results are consistent theoretically. The use of h-adapted meshes was efficient to achieve a certain accuracy level in the synthetic EM responses. Regarding global p-refinement, p=2 exhibits the best accuracy/performance trade-off. Selective p-refinement might offer a better compromise between accuracy and computational cost. However, for p-refinement at different entities, the best refinement scheme consists of using p=3 at the volume level with p=1 at faces and edges. Thus, p-refinement can be competitive if applied hierarchically. Nevertheless, we acknowledge that the performance of our supervised h+p refinement strategy depends on the input model (e.g., conductivity, frequency, domain decomposition strategy, among others). Whatever the chosen configuration, our numerical results provide an in-depth understanding of EM modeling’s pros and cons when supervised h+p refinement schemes are applied.</p>
</div>
</div>
</div>
</li>
<li><div class="row">
<div class="col-sm-2 abbr">
</div>
<div id="aamor_ap16" class="col-sm-8">
<div class="title">Second-Order Nédélec Curl-Conforming Prismatic Element for Computational Electromagnetics</div>
<div class="author">
<em>Amor-Martin, Adrian</em>,
Garcia-Castillo, Luis E.,
and Garcia-Donoro, Daniel
</div>
<div class="periodical">
<em>IEEE Transactions on Antennas and Propagation</em>,
2016.
</div>
<div class="links">
<a class="abstract btn btn-sm z-depth-0" role="button">Abs</a>
<a href="https://doi.org/10.1109/TAP.2016.2597640" class="btn btn-sm z-depth-0" role="button" target="_blank">HTML</a>
</div>
<!-- Hidden abstract block -->
<div class="abstract hidden">
<p>A systematic approach to obtaining mixed-order curl-conforming basis functions for a triangular prism is presented; focus is made on the second-order case. Space of functions for the prism is given. Basis functions are obtained as the dual basis with respect to suitably discretized Nédélec degrees of freedom functionals acting on elements of the space. Thus, the linear independence of the basis functions is assured while the belonging of the basis to the a priori given space of functions is guaranteed. Different strategies for the finite element assembly of the basis are discussed. Numerical results showing the verification procedure of the correctness of the implemented basis functions are given. Numerical results about sensibility of the condition number of the basis obtained concerning the quality of the elements of the mesh are also shown. Comparison with other representative sets of basis functions for prisms is included.</p>
</div>
</div>
</div>
</li>
<li><div class="row">
<div class="col-sm-2 abbr">
</div>
<div id="aamor_jcomp21" class="col-sm-8">
<div class="title">Study of Accuracy of a Non-Conformal Finite Element Domain Decomposition Method</div>
<div class="author">
<em>Amor-Martin, Adrian</em>,
Garcia-Castillo, Luis E.,
and Lee, Jin-Fa
</div>
<div class="periodical">
<em>Journal of Computational Physics</em>,
2021.
</div>
<div class="links">
<a class="abstract btn btn-sm z-depth-0" role="button">Abs</a>
<a href="https://doi.org/10.1016/j.jcp.2020.109989" class="btn btn-sm z-depth-0" role="button" target="_blank">HTML</a>
</div>
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<p>Domain Decomposition Methods (DDM) have been widely used in the Computational Electromagnetics (CEM) community in the last years to tackle large-scale problems with Finite Element Methods (FEM). Non-conformal DDM is more flexible (e.g., independently created meshes for different parts of the problem under analysis are supported) but may introduce an approximation error. In this communication, a thorough study of the accuracy of the solutions when using non-conformal DDM is presented. Three experiments are realized showing the verification of the implementation and that the accuracy is acceptable with different numbers of discontinuities in the propagation direction and various aspect ratios of the mesh on the interface. The numerical results use three different shapes (tetrahedra, prisms, and hexahedra) and up to order three in the basis functions that approximate the field. These studies are relevant for the introduction of non-conformal DDM with real problems or scalable (in the parallel sense) implementation of adaptive mesh techniques.</p>
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