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Analysis of institutional authors

Boumimez, SCorresponding AuthorCastro, CAuthor

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April 11, 2024
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Numerical approximation of the boundary control for the wave equation in a square domain with a spectral collocation method

Publicated to: COMPUTATIONAL & APPLIED MATHEMATICS. 43 (2): 81- - 2024-03-01 43(2), DOI: 10.1007/s40314-023-02581-7

Authors:

Boumimez, S; Castro, C
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Affiliations

Univ Politecn Madrid, Dept Matemat Informat, M2ASAI, ETSI Caminos Canales & Puertos - Author

Abstract

We propose a spectral collocation method to approximate the exact boundary control of the wave equation in a square domain. The idea is to introduce a suitable approximate control problem that we solve in the finite-dimensional space of polynomials of degree N is an element of N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$N\in {\mathbb {N}}$$\end{document} in space. We prove that we can choose a sequence of controls fN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f<^>N$$\end{document} associated with the approximate control problem in such a way that they converge, as N ->infinity\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$N\rightarrow \infty $$\end{document}, to a control of the continuous wave equation. Unlike other numerical approximations tried in the literature, this one does not require regularization techniques and can be easily adapted to other equations and systems where the controllability of the continuous model is known. The method is illustrated with several examples in 1-d and 2-d in a square domain. We also give numerical evidence of the highly accurate approximation inherent to spectral methods.
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Keywords

49m2565k1065n3593b05ControllabilityEigenvaluesNumerical approximationObservabilityOperatorSpectral collocation methodWave equation

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal COMPUTATIONAL & APPLIED MATHEMATICS due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2024 there are still no calculated indicators, but in 2023, it was in position 39/344, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics, Applied.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2026-04-25:

  • WoS: 1
  • Scopus: 2
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-25:

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

    It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

    • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
    • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/87929/

    As a result of the publication of the work in the institutional repository, statistical usage data has been obtained that reflects its impact. In terms of dissemination, we can state that, as of

    • Views: 129
    • Downloads: 49
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    Leadership analysis of institutional authors

    There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (BOUMIMEZ BOUMIMEZ, SOMIA) and Last Author (CASTRO BARBERO, CARLOS MANUEL).

    the author responsible for correspondence tasks has been BOUMIMEZ BOUMIMEZ, SOMIA.

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