Author profile: Gómez Mármol, María Macarena
Institutional data
| Name | Gómez Mármol, María Macarena |
| Department | Ecuaciones Diferenciales y Análisis Numérico |
| Knowledge area | Análisis Matemático |
| Professional category | Catedrática de Universidad |
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Statistics
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No. publications
42
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No. visits
5794
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No. downloads
8426
| Publications |
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PhD Thesis
 Some applications of reduced order modelling to slow-fast dynamical systems, turbulence models and elliptic PDEs
(2024)
En las últimas décadas, el progreso tecnológico ha elevado el rol de las simulaciones numéricas a ser una herramienta ... |
Article
 A posteriori variational multiscale methods for the 1D convection-diffusion equations
(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
Análisis Numérico de modelos regidos por Ecuaciones Diferenciales. Simulación e Implementación en Python.
(2023)
La presente memoria está dedicada al estudio numérico de las ecuaciones diferenciales, tanto desde el enfoque teórico como ... |
PhD Thesis
Reduced Basis Method applied to the Smagorinsky Turbulence Model
(2022)
This PhD dissertation addresses the numerical simulation of models that simulate the behavior of turbulent flows through ... |
Article
Low-rank approximations for parametric non-symmetric elliptic problems
(Frontiers Media, 2022)
In this study, we obtained low-rank approximations for the solution of parametric non-symmetric elliptic partial differential ... |
| Final Degree Project |
Article
Applied Machine Learning Algorithms for Courtyards Thermal Patterns Accurate Prediction
(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
Método POD y aplicaciones : caso discreto y continuo
(2021)
The proper orthogonal decomposition (POD) is a technique that aims at obtaining a compact representation of the data ... |
Article
Applied machine learning algorithms for courtyards thermal patterns accurate prediction
(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
Métodos de Orden Reducido para Ecuaciones Diferenciales
(2020)
Gracias al desarrollo tecnológico de los ordenadores durante el siglo XX, las simulaciones numéricas se han convertido en ... |
| Final Degree Project |
Article
Certified Reduced Basis VMS-Smagorinsky model for natural convection ow in a cavity with variable height
(ScienceDirect, 2020)
In this work we present a Reduced Basis VMS-Smagorinsky Boussinesq model, applied to natural convection problems in a ... |
Final Degree Project
Métodos multipaso para la aproximación de ecuaciones diferenciales ordinarias. Modelización de problemas relativos al atletismo
(2020)
This work addresses numerical approximation of ordinary differential equations by means of multistep methods, with application ... |
Final Degree Project
Simulación numérica de modelos de ecuaciones diferenciales en Neurociencia.
(2020)
En este trabajo, consideraremos los sistemas de FitzHugh-Nagumo, HindmarshRose y FitzHugh-Rinzel, que modelan el comportamiento ... |
Final Degree Project
Órbitas Canard en sistemas lineales a trozos y aplicaciones
(2019)
El estudio de los sistemas dinámicos continúa teniendo una gran importancia en el mundo actual, ya que estos sistemas ... |
Article
Computational modeling of Gurney flaps and microtabs by POD method
(MDPI, 2018)
Gurney flaps (GFs) and microtabs (MTs) are two of the most frequently used passive flow control devices on wind turbines. ... |
PhD Thesis
Development of reduced numeric models to aero-thermal flows in buildings
(2018)
Esta tesis se enmarca dentro de la resoluci_on num_erica de modelos que simulan el comportamiento de ujos turbulentos ... |
Article
Assessment of self-adapting local projection-based solvers for laminar and turbulent industrial flows
(Springer, 2018)
In this work, we study the performance of some local projection-based solvers in the Large Eddy Simulation (LES) of laminar ... |
Article
A High-Order Local Projection Stabilization Method for Natural Convection Problems
(Springer, 2017)
In this paper, we propose a local projection stabilization (LPS) finite element method applied to numerically solve natural ... |
Article
On a certified Smagorinsky reduced basis turbulence model
(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
Reduced basis method for the Smagorinsky model
(2016)
We present a reduced basis Smagorinsky model. This model includes a non-linear eddy diffusion term that we have to treat ... |
Article
A reduced discrete inf-sup condition in Lp for incompressible flows and application
(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
Numerical analysis of a finite element projection-based VMS turbulence model with wall laws
(Elsevier, 2014)
This paper deals with the numerical analysis of a finite element projection-based VMS turbulence model that includes general ... |
Article
Analysis of numerical stability of algebraic oceanic turbulent mixing layer models
(Elsevier, 2014)
In this paper, we study the stability of oceanic turbulent mixing layers by the finite element method with respect to ... |
PhD Thesis
 Numerical modelling of turbulence by Richardson number-based and VMS models / Modelado numérico de la turbulencia mediante modelos de Richardson y de Multiescala Variacional
(2014)
La presente tesis aborda el modelado numérico de la turbulencia mediante modelos de Richardson y de Multiescala Variacional ... |
Article
On the existence and asymptotic stability of solutions for unsteady mixing-layer models
(AIMS, 2014)
We introduce in this paper some elements for the mathematical analysis of turbulence models for oceanic surface mixing ... |
Article
Numerical investigation of algebraic oceanic turbulent mixing-layer models
(Copernicus Publications, 2013)
In this paper we investigate the finite-time and asymptotic behaviour of algebraic turbulent mixing-layer models by numerical ... |
Article
A Bochev-Dohrmann-Gunzburger stabilization method for the primitive equations of the ocean
(Elsevier, 2013)
We introduce a low-order stabilized discretization of the Primitive Equations of the Ocean, with a highly reduced computational ... |
Article
Error analysis of a subgrid eddy viscosity multi-scale discretization of the Navier-Stokes equations
(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 |
Article
Numerical modelling of algebraic closure models of oceanic turbulent mixing layers
(EDP Sciences, 2010)
We introduce in this paper some elements for the mathematical and numerical analysis of algebraic turbulence models for ... |
Article
Stability of some turbulent vertical models for the ocean mixing boundary layer
(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
Numerical modeling of buoyant turbulent mixing layers
(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
Formulación de tipo Petrov-Galerkin de algunos métodos distributivos: Aplicación a las ecuaciones de Navier-Stokes
(2007)
En este trabajo estudiamos la resolución de las Ecuaciones de Navier-Stokes estacionarias mediante métodos distributivos ... |
Presentation
Tratamiento asintótico de las condiciones de contorno para problemas de convección dominante
(2007)
En este trabajo realizamos un an alisis de paso al l mite singular en una ecuaci ón evolutiva de convecci ón-difusióon, ... |
Article
Finite elements approximation of second order linear elliptic equations in divergence formwith right-hand side in L1
(Springer, 2007)
In this paper we consider, in dimension d≥ 2, the standard P1P1 finite elements approximation of the second order linear ... |
Article
Numerical analysis of the PSI solution of advection–diffusion problems through a Petrov–Galerkin formulation
(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
A comparison of three turbulence models with an application to the West Pacific Warm Pool
(2007)
In this work, we compare three turbulence models used to parameterize the oceanic boundary layer. These three models depend ... |
| PhD Thesis |
Chapter of Book
Numerical solution of a Laplace equation with data in L1
(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. ... |
Article
Coupling the Stokes and Navier-Stokes equations with two scalar nonlinear parabolic equations
(EDP Sciences, 1999)
This work deals with a system of nonlinear parabolic equations arising in turbulence modelling. The unknowns are the N ... |
PhD Thesis
Estudio matemático de algunos problemas no lineales de la mecánica de fluidos incompresibles
(1998)
En este trabajo se hace un estudio, desde el punto de vista teórico de algunos problemas que aparecen en la Mecánica de ... |