Publications

Publications by Sonia Fernández-Méndez

2020

A C0 Interior Penalty Method for 4th order PDEs
Fojo, D; Codony, D.; Fernández-Méndez, S.
reports@SCM, Vol. 5, pp. 11-21, 2020

Adaptive refinement for phase-field models of brittle fracture based on Nitsche’s method
Muixí, A; Fernández-Méndez, S.; Rodríguez-Ferran, A.
Computational Mechanics, Vol. 66, pp. 69-85, 2020

A Hybridizable Discontinuous Galerkin phase-field model for brittle fracture with adaptive refinement
Muixí, A; Rodríguez-Ferran, A.; Fernández-Méndez, S.
International Journal for Numerical Methods in Engineering, Vol. 121, pp. 1147-1169, 2020

2019

An immersed boundary hierarchical B-spline method for flexoelectricity
Codony, D.; Marco, O.; Fernández-Méndez, S. and Arias, I.
Computer Methods in Applied Mechanics and Engineering, Vol. 354, pp. 750-782, 2019

A Hybridizable Discontinuous Galerkin phase-field model for brittle fracture
Muixí, A.; Fernández-Méndez, S. and Rodríguez-Ferran, A.
reports@SCM, Vol. 4, pp. 31-42, 2019

eXtended Hybridizable Discontinuous Galerkin for incompressible flow problems with unfitted meshes and interfaces
Gürkan, C; Kronbichler, M. and Fernández-Méndez, S.
International Journal for Numerical Methods in Engineering, Vol. 117, pp. 756-777, 2019

Coupling of continuous and hybridizable discontinuous Galerkin methods. Application to conjugate heat transfer problem.
Paipuri, M.; Tiago, C. and Fernández-Méndez, S.
Journal of Scientific Computing, Vol. 78, pp. 321-350, 2019

2018

Comparison of high-order continuous and hybridizable discontinuous Galerkin methods for incompressible fluid flow problems
Paipuri, M.; Fernández-Méndez, S. and Tiago, C.
Mathematics and Computers in Simulation, Vol. 153, pp. 35-58, 2018

2017

Meshfree Methods
Huerta, A., Belytschko, T., Fernández-Méndez, S., Rabczuk, T., Zhuang, X., and Arroyo, M.
Encyclopedia of Computational Mechanics Second Edition, Vol. 2 Fundamentals, Chapter 3, pp. 1-38, 2017

eXtended Hybridizable Discontinuous Galerkin with Heaviside enrichment for heat bimaterial problems
Gürkan, C.; Kronbichler, M.; Fernández-Méndez, S.
Journal of Scientific Computing, Vol. 72, Issue 2, pp. 542-567, 2017

eXtended Hybridizable Discontinous Galerkin (X-HDG) for void problems
Gürkan, C.; Sala-Lardies, E.; Kronbichler, M.; Fernández-Méndez, S.
Journal of Scientific Computing, Vol. 66, Issue 3, pp. 1313-1333, 2017

2016

eXtended Hybridizable Discontinuous Galerkin (X-HDG) for Void and Bimaterial Problems
Gürkan, C.; Sala-Lardies, E.; Kronbichler, M.; Fernández-Méndez, S.
Advances in Discretization Methods, Vol. , pp. 103-122, 2016

Elliptic Harbor Wave Model with Perfectly Matched Layer and Exterior Bathymetry Effects
Modesto, D., Fernández-Méndez, S., and Huerta, A.
Journal of Waterway, Port, Coastal, and Ocean Engineering, Vol. 142, Issue 5, Article number: 4016008, 2016

2014

Analysis of the discontinuous Galerkin Interior Penalty Method with solenoidal approximations for the Stokes equations
Montlaur, A. and Fernández-Méndez, S.
International Journal of Numerical Analysis and Modeling, Vol. 11, Issue 4, pp. 715-725, 2014

Hybridizable Discontinuous Galerkin with degree adaptivity for the incompressible Navier-Stokes equations
Giorgiani G., Fernández-Méndez S., Huerta A.
Computers and Fluids, Vol. 98, pp. 196-208, 2014

2013

High-order continuous and discontinuous Galerkin methods for wave problems
Giorgiani, G.; Modesto, D.; Fernández-Méndez, S. and Huerta, A.
International Journal for Numerical Methods in Fluids, Vol. 73, Issue 10, pp. 883-903, 2013

Hybridizable Discontinuous Galerkin p-adaptivity for wave propagation problems
Giorgiani, G.; Fernández-Méndez, S.; and Huerta, A.
International Journal for Numerical Methods in Fluids, Vol. 72, Num: 12, pp. 1244-1262, 2013

2012

High-order implicit time integration for unsteady incompressible flows
Montlaur, A.; Fernández-Méndez, S. and Huerta, A.
International Journal for Numerical Methods in Fluids, Vol. 70, Issue 5, pp. 603-626, 2012

2011

3D NURBS-Enhanced Finite Element Method (NEFEM)
Sevilla, R;, Fernandez-Mendez, S. and Huerta A.
International Journal for Numerical Methods in Engineering, Vol. 88, Issue 2, pp. 103-125, 2011

NURBS-Enhanced Finite Element Method (NEFEM). A Seamless Bridge Between CAD and FEM
Sevilla, R.; Fernández-Méndez, S. and Huerta, A.
Archives of Computational Methods in Engineering, Vol. 18, Issue 4, pp. 441-484, 2011

Comparison of high-order curved finite elements
Sevilla, R.; Fernandez-Mendez, S. and Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 87, Issue 8, pp. 719-734, 2011

Numerical integration over 2D NURBS-shaped domains with applications to NURBS-enhanced FEM
Sevilla, R. and Fernández-Méndez S.
Finite Elements in Analysis and Design, Vol. 47, pp. 1209-1220, 2011

Métodos Runge-Kutta Implícitos de alto orden para flujo incompresible
Montlaur, A.; Fernández-Méndez, S. and Huerta A.
Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, Vol. 27, Issue 1, pp. 77-91, 2011

2010

Discontinuous Galerkin methods for the Navier-Stokes equations using solenoidal approximations
Montlaur, A.; Fernandez-Mendez,S.; Peraire, J. and Huerta, A.
International Journal for Numerical Methods in Fluids, Vol. 64, Issue 5, pp. 549-564, 2010

2008

NURBS-Enhanced Finite Element Method (NEFEM)
Sevilla, R., Fernandez-Mendez, S., Huerta, A.
International Journal for Numerical Methods in Engineering, Vol. 76, Issue 1, pp. 56-83, 2008

NURBS-Enhanced Finite Element Method for Euler equations
Sevilla, R., Fernandez-Mendez, S., Huerta, A.
International Journal for Numerical Methods in Fluids, Vol. 57, Issue 9, pp. 1051-1069, 2008

Discontinuous Galerkin methods for the Stokes equations using divergence-free approximations
Montlaur, A., Fernández-Méndez, S., Huerta, A.
International Journal for Numerical Methods in Fluids, Vol. 57, Issue 9, pp. 1071-1092, 2008

2005

Continuous blending of SPH with finite elements
Sonia Fernández-Méndez, Javier Bonet and Antonio Huerta
Computers and Structures, Vol. 83, Issues 17-18, pp. 1448-1458, 2005

2004

Meshfree Methods
Huerta, A., Belytschko, T. Fernández-Méndez, S. and Rabczuk, T.
Encyclopedia of Computational Mechanics , Vol. 1, Chapter 10, pp. 279-309, 2004

A comparison of two formulations to blend finite elements and mesh-free methods
Huerta, A., Fernández-Méndez. S. and Liu, W.K.
Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issue 12-14, pp. 1105-1117, 2004

Imposing essential boundary conditions in mesh-free methods
Fernández-Méndez, S. and Huerta, A.
Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issues 12 -14, pp. 1257-1275, 2004

2003

Convergence of finite elements enriched with meshless methods
Fernández-Méndez, S., Díez, P. and Huerta, A.
Numerische Mathematik, Vol. 96, Issue 1, pp. 43-59, 2003

Time accurate consistently stabilized mesh-free methods for convection dominated problems
Huerta, A. and Fernández-Méndez, S.
International Journal for Numerical Methods in Engineering, Vol. 56, Issue 9, pp. 1225-1242, 2003

2002

Enrichissement des interpolations d’éléments finis en utilisant des méthodes de particules
Huerta, A., Fernández-Méndez, S. and Díez, P.
Mathematical Modelling and Numerical Analysis, Vol. 36, Issue 6, pp. 1027-1042, 2002

Coupling finite elements and particles for adaptivity: an application to consistently stabilized convection-diffusion
Fernández-Méndez, S. and Huerta, A.
Lecture Notes on computational science and engineering, Vol. 26, pp. 117-130, 2002

2001

Locking in the incompressible limit for the element-free Galerkin method
Huerta, A. and Fernández-Méndez, S.
International Journal for Numerical Methods in Engineering, Vol. 51, Issue 11, pp. 1361-1383, 2001

2000

Enrichment and Coupling of the Finite Element and Meshless Methods
Huerta, A. and Fernández-Méndez, S.
International Journal for Numerical Methods in Engineering, Vol. 48, Issue 11, pp. 1615-1636, 2000