Adrián Amor Martín

Radiofrequency, Microwave, Electromagnetics and Antennas Group

University Carlos III of Madrid

4.2.A05I

Leganés, Spain

Born in Móstoles and raised in Toledo, Spain. I am an assistant professor at University Carlos III of Madrid (Spain) from February 2021.

My research interests are computational electromagnetics, High Performance Computing (HPC) techniques, and antenna measurements. I am part of 22 indexed papers and 45 conference papers. I was a postdoctoral researcher at Saarland University from 2019 to 2020 with Prof. Dyczij-Edlinger. I have also been a visiting scholar at The Ohio State University hosted by Prof. Jin-Fa Lee for seven months, and at the University of Macau for two months.

Related to teaching, I have imparted more than 800 teaching hours in different Telecommunication bachelor and master degrees in the last 10 years. You can find more details (in Spanish) here.

See my CV for my participation in research projects and in organizations. You can also download my CVN and CVA.

news

Mar 20, 2024	I have been elected as Chapter Treasurer for the Antennas and Propagation and Microwave Theory and Techniques societies (AP03/MTT17) for the next two years. Looking forward to help!
Mar 8, 2024	I have been invited to present an event where I talk with David Calle about the past, present, and future of Telecommunications Engineering. Have a look here!
Jan 28, 2024	Our paper Urban Sound Classification using Neural Networks on Embedded FPGAs has been accepted for publication in the Journal of Supercomputing. Check it out!
Jan 12, 2024	I have been invited to talk about my experience on outreach and dissemination of Telecommunication Engineering in the professional association of telecommunications engineers, AEIT. Have a look here!.
Dec 19, 2023	I have organized an event for the presentation of the Ambassadors program, which is a program to encourage the transfer of knowledge from engineers to high schools. The first talk was given by David Calle, from Unicoos. If you were not able to attend, please have a look at the recording here.
Oct 24, 2023	I have organized an event for the presentation of the fourth edition of ment-it, program that I have co-founded with Marta Orduna and Cristina Márquez. If you were not able to attend, please have a look at the recording here.
Oct 4, 2023	I have been elected as Full Member of the Sigma Xi, The Scientific Research Honor Society, in recognition of my scholarly achievements and contributions to the advancement of knowledge in my field. It is a great honor!
Sep 8, 2023	Our paper Meshing strategies for 3d geo-electromagnetic modeling in the presence of metallic infrastructure has been accepted for publication in the Computational Geosciences. Check it out!
Jul 18, 2023	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 Proyectos de Generación de Conocimiento 2022, and I am the Principal Investigator with José A. Belloch. If you want to get involved in the project, just drop me an email!
Jun 12, 2023	Our papers A Rigorous Code Verification Process of the Domain Decomposition Method in a Finite Element Method for Electromagnetics and Hierarchical Universal Matrices for Curvilinear Tetrahedral H(curl) Finite Elements with Inhomogeneous Material Properties have been accepted for publication in the IEEE Transactions of Antennas and Propagation. Check them out!

selected publications

2024

A Rigorous Code Verification Process of the Domain Decomposition Method in a Finite Element Method For Electromagnetics

Adrian Amor-Martin, Luis E. Garcia-Castillo, Laszlo L. Toth, and 2 more authors

IEEE Transactions on Antennas and Propagation, 2024

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The finite element method (FEM) has benefited recently from the introduction of the domain decomposition method (DDM), especially to tackle large-scale problems. Many versions of DDM may be found in the literature, and almost none of them have used a rigorous approach to show the accuracy of the formulation. Here, we suggest the use of the method of manufactured solutions (MMS) to introduce DDM into a FEM code. This approach also allows us to debug the demanding coding process of the method. First, we introduce the mandatory operators used for DDM to construct second-order absorbing boundary conditions. Then, we use these results to show the correct implementation of DDM with basis functions up to fourth order for tetrahedra, triangular prisms, and hexahedra, obtaining the convergence rates predicted by the classic FEM theory. Finally, we illustrate how to use MMS to test different formulations, assessing the effect of using different spaces and orders for the arising ancillary variables.

2023

Second-Order Nédélec Curl-Conforming Hexahedral Element for Computational Electromagnetics

Adrian Amor-Martin, and Luis E. Garcia-Castillo

IEEE Transactions on Antennas and Propagation, 2023

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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.

2022

Tailored Meshing for Parallel 3D Electromagnetic Modeling Using High-Order Edge Elements

Octavio Castillo-Reyes, Adrian Amor-Martin, Arnaud Botella, and 2 more authors

Journal of Computational Science, Aug 2022

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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.