NameGómez Mármol, María Macarena
DepartmentEcuaciones Diferenciales y Análisis Numérico
Knowledge areaAnálisis Matemático
Professional categoryCatedrática de Universidad
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PhD Thesis
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Some applications of reduced order modelling to slow-fast dynamical systems, turbulence models and elliptic PDEs

Bandera Moreno, Alejandro; Chacón Rebollo, Tomás; Fernández García, Soledad; Gómez Mármol, María Macarena (2024)
En las últimas décadas, el progreso tecnológico ha elevado el rol de las simulaciones numéricas a ser una herramienta ...
Article
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A posteriori variational multiscale methods for the 1D convection-diffusion equations

Chacón Rebollo, Tomás; Domínguez Delgado, Antonio; Gómez Mármol, María Macarena (Académie des Sciences, 2023)
The present work is a continuation of a paper presented by the two first authors in the proceedings of the “Computational ...
Final Degree Project
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Análisis Numérico de modelos regidos por Ecuaciones Diferenciales. Simulación e Implementación en Python.

Casado Sánchez, Ana; Gómez Mármol, María Macarena (2023)
La presente memoria está dedicada al estudio numérico de las ecuaciones diferenciales, tanto desde el enfoque teórico como ...
PhD Thesis
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Reduced Basis Method applied to the Smagorinsky Turbulence Model

Caravaca García, Cristina; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena (2022)
This PhD dissertation addresses the numerical simulation of models that simulate the behavior of turbulent flows through ...
Article
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Low-rank approximations for parametric non-symmetric elliptic problems

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Sánchez Muñoz, Isabel María (Frontiers Media, 2022)
In this study, we obtained low-rank approximations for the solution of parametric non-symmetric elliptic partial differential ...
Final Degree Project
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Estudio Teórico y numérico de ecuaciones algebraicas diferenciales (DAES) Lineales

Sánchez Rivera, Marco; Gómez Mármol, María Macarena (2021)
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Applied Machine Learning Algorithms for Courtyards Thermal Patterns Accurate Prediction

Diz Mellado, Eduardo María; Rubino, Samuele; Fernández García, Soledad; Gómez Mármol, María Macarena; Rivera Gómez, Carlos Alberto; Galán-Marín, Carmen (MDPI, 2021)
Currently, there is a lack of accurate simulation tools for the thermal performance modeling of courtyards due to their ...
Master's Final Project
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Método POD y aplicaciones : caso discreto y continuo

Bernardino del Pino, Manuel; Gómez Mármol, María Macarena; Rubino, Samuele (2021)
The proper orthogonal decomposition (POD) is a technique that aims at obtaining a compact representation of the data ...
Article
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Applied machine learning algorithms for courtyards thermal patterns accurate prediction

Diz Mellado, Eduardo María; Rubino, Samuele; Fernández García, Soledad; Gómez Mármol, María Macarena; Rivera Gómez, Carlos Alberto; Galán-Marín, Carmen (MDPI, 2021)
Currently, there is a lack of accurate simulation tools for the thermal performance modeling of courtyards due to their ...
Master's Final Project
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Métodos de Orden Reducido para Ecuaciones Diferenciales

Bandera Moreno, Alejandro; Fernández García, Soledad; Gómez Mármol, María Macarena (2020)
Gracias al desarrollo tecnológico de los ordenadores durante el siglo XX, las simulaciones numéricas se han convertido en ...
Final Degree Project
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Estudio teórico y numérico de las ecuaciones de Black-Scholes. Aplicaciones al campo financiero

Trujillo Vargas, Daniel; Gómez Mármol, María Macarena (2020)
Article
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Certified Reduced Basis VMS-Smagorinsky model for natural convection ow in a cavity with variable height

Ballarin, Francesco; Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, María Macarena; Rozza, Gianluigi (ScienceDirect, 2020)
In this work we present a Reduced Basis VMS-Smagorinsky Boussinesq model, applied to natural convection problems in a ...
Final Degree Project
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Métodos multipaso para la aproximación de ecuaciones diferenciales ordinarias. Modelización de problemas relativos al atletismo

Moreno López, Antonio David; Gómez Mármol, María Macarena; Rubino, Samuele (2020)
This work addresses numerical approximation of ordinary differential equations by means of multistep methods, with application ...
Final Degree Project
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Simulación numérica de modelos de ecuaciones diferenciales en Neurociencia.

Pérez Castilla, Elena; Fernández García, Soledad; Gómez Mármol, María Macarena (2020)
En este trabajo, consideraremos los sistemas de FitzHugh-Nagumo, HindmarshRose y FitzHugh-Rinzel, que modelan el comportamiento ...
Final Degree Project
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Órbitas Canard en sistemas lineales a trozos y aplicaciones

Bandera Moreno, Alejandro; Fernández García, Soledad; Gómez Mármol, María Macarena (2019)
El estudio de los sistemas dinámicos continúa teniendo una gran importancia en el mundo actual, ya que estos sistemas ...
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Computational modeling of Gurney flaps and microtabs by POD method

Fernández Gamiz, Unai; Gómez Mármol, María Macarena; Chacón Rebollo, Tomás (MDPI, 2018)
Gurney flaps (GFs) and microtabs (MTs) are two of the most frequently used passive flow control devices on wind turbines. ...
PhD Thesis
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Development of reduced numeric models to aero-thermal flows in buildings

Delgado Ávila, Enrique; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena (2018)
Esta tesis se enmarca dentro de la resoluci_on num_erica de modelos que simulan el comportamiento de ujos turbulentos ...
Article
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Assessment of self-adapting local projection-based solvers for laminar and turbulent industrial flows

Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, María Macarena; Rubino, Samuele (Springer, 2018)
In this work, we study the performance of some local projection-based solvers in the Large Eddy Simulation (LES) of laminar ...
Article
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A High-Order Local Projection Stabilization Method for Natural Convection Problems

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Hecht, Frédéric; Rubino, Samuele; Sánchez Muñoz, Isabel María (Springer, 2017)
In this paper, we propose a local projection stabilization (LPS) finite element method applied to numerically solve natural ...
Article
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On a certified Smagorinsky reduced basis turbulence model

Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, María Macarena; Ballarin, Francesco; Rozza, Gianluigi (Society for Industrial and Applied Mathematics, 2017)
In this work we present a reduced basis Smagorinsky turbulence model for steady flows. We approximate the nonlinear eddy ...
Presentation
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Reduced basis method for the Smagorinsky model

Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, María Macarena (2016)
We present a reduced basis Smagorinsky model. This model includes a non-linear eddy diffusion term that we have to treat ...
Article
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A reduced discrete inf-sup condition in Lp for incompressible flows and application

Chacón Rebollo, Tomás; Girault, Vivette; Gómez Mármol, María Macarena; Sánchez Muñoz, Isabel María (EDP Sciences, 2015)
In this work, we introduce a discrete specific inf-sup condition to estimate the Lp norm, 1 <p< +∞, of the pressure in a ...
Article
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Numerical analysis of a finite element projection-based VMS turbulence model with wall laws

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Rubino, Samuele (Elsevier, 2014)
This paper deals with the numerical analysis of a finite element projection-based VMS turbulence model that includes general ...
Article
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Analysis of numerical stability of algebraic oceanic turbulent mixing layer models

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Rubino, Samuele (Elsevier, 2014)
In this paper, we study the stability of oceanic turbulent mixing layers by the finite element method with respect to ...
PhD Thesis
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Numerical modelling of turbulence by Richardson number-based and VMS models / Modelado numérico de la turbulencia mediante modelos de Richardson y de Multiescala Variacional

Rubino, Samuele; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena (2014)
La presente tesis aborda el modelado numérico de la turbulencia mediante modelos de Richardson y de Multiescala Variacional ...
Article
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On the existence and asymptotic stability of solutions for unsteady mixing-layer models

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Rubino, Samuele (AIMS, 2014)
We introduce in this paper some elements for the mathematical analysis of turbulence models for oceanic surface mixing ...
Article
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Numerical investigation of algebraic oceanic turbulent mixing-layer models

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Rubino, Samuele (Copernicus Publications, 2013)
In this paper we investigate the finite-time and asymptotic behaviour of algebraic turbulent mixing-layer models by numerical ...
Article
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A Bochev-Dohrmann-Gunzburger stabilization method for the primitive equations of the ocean

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Sánchez Muñoz, Isabel María (Elsevier, 2013)
We introduce a low-order stabilized discretization of the Primitive Equations of the Ocean, with a highly reduced computational ...
Article
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Error analysis of a subgrid eddy viscosity multi-scale discretization of the Navier-Stokes equations

Bernardi, Christine; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena (Sociedad Española de Matemática Aplicada, 2012)
We propose a finite element discretization of the Navier–Stokes equations that relies on the variational multi-scale ...
Presentation
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Theoretical and numerical results on modeling of oceanic turbulent mixing layers

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Rubino, Samuele (2012)
Article
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Numerical modelling of algebraic closure models of oceanic turbulent mixing layers

Bennis, Anne-Claire; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Lewandowski, Roger (EDP Sciences, 2010)
We introduce in this paper some elements for the mathematical and numerical analysis of algebraic turbulence models for ...
Article
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Stability of some turbulent vertical models for the ocean mixing boundary layer

Bennis, Anne-Claire; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Lewandowski, Roger (Elsevier, 2008)
We consider four turbulent models to simulate the boundary mixing layer of the ocean. We show the existence of solutions to these models in the steady-state case then we study the mathematical stability of these solutions.
Article
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Numerical modeling of buoyant turbulent mixing layers

Bennis, Anne-Claire; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Lewandowski, Roger (Sociedad Española de Matemática Aplicada, 2008)
We introduce in this paper some elements for the mathematical and numerical analysis of turbulence models for oceanic ...
Presentation
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Formulación de tipo Petrov-Galerkin de algunos métodos distributivos: Aplicación a las ecuaciones de Navier-Stokes

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Narbona Reina, Gladys (2007)
En este trabajo estudiamos la resolución de las Ecuaciones de Navier-Stokes estacionarias mediante métodos distributivos ...
Presentation
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Tratamiento asintótico de las condiciones de contorno para problemas de convección dominante

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Sánchez Muñoz, Isabel María (2007)
En este trabajo realizamos un an alisis de paso al l mite singular en una ecuaci ón evolutiva de convecci ón-difusióon, ...
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Finite elements approximation of second order linear elliptic equations in divergence formwith right-hand side in L1

Casado Díaz, Juan; Chacón Rebollo, Tomás; Girault, Vivette; Gómez Mármol, María Macarena; Murat, François (Springer, 2007)
In this paper we consider, in dimension d≥ 2, the standard P1P1 finite elements approximation of the second order linear ...
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Numerical analysis of the PSI solution of advection–diffusion problems through a Petrov–Galerkin formulation

Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Narbona Reina, Gladys (World Scientific Publishing, 2007)
We consider a system composed by two immiscible fluids in two-dimensional space that can be modelized by a bilayer Shallow ...
Article
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A comparison of three turbulence models with an application to the West Pacific Warm Pool

Bennis, Anne-Claire; Gómez Mármol, María Macarena; Lewandowski, Roger; Chacón Rebollo, Tomás; Brossier, Françoise (2007)
In this work, we compare three turbulence models used to parameterize the oceanic boundary layer. These three models depend ...
PhD Thesis
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Estudio de un modelo de turbulencia compresible obtenido mediante técnicas de homogeneización

Sánchez Muñoz, Isabel María; Gómez Mármol, María Macarena; Chacón Rebollo, Tomás (2005)
Chapter of Book
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Numerical solution of a Laplace equation with data in L1

Casado Díaz, Juan; Chacón Rebollo, Tomás; Gómez Mármol, María Macarena; Girault, Vivette; Murat, François; Palacios Latasa, Manuel Pedro; Trujillo, David; Torrens Iñigo, Juan José; Madaune-Tort, Monique; López de Silanes Busto, María Cruz; Sanz Sáiz, Gerardo (Universidad de Zaragoza, 2003)
In this work, we address the numerical solution of the Laplace equation with data in L1 by IP1 finite element schemes. ...
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Coupling the Stokes and Navier-Stokes equations with two scalar nonlinear parabolic equations

Gómez Mármol, María Macarena; Ortegón Gallego, Francisco (EDP Sciences, 1999)
This work deals with a system of nonlinear parabolic equations arising in turbulence modelling. The unknowns are the N ...
PhD Thesis
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Estudio matemático de algunos problemas no lineales de la mecánica de fluidos incompresibles

Gómez Mármol, María Macarena; Ortegón Gallego, Francisco (1998)
En este trabajo se hace un estudio, desde el punto de vista teórico de algunos problemas que aparecen en la Mecánica de ...