Rafael Vazquez Hernandez

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rafael.vazquez@epfl.ch +41 21 693 55 09

EPFL SB MATH MNS
MA C2 563 (Bâtiment MA)
Station 8
CH-1015 Lausanne

+41 21 693 55 09
Local: MA C2 563
EPFL > SB > MATH > MNS

Web site: Site web: https://mns.epfl.ch/

EPFL SB SMA-GE
MA A2 403 (Bâtiment MA)
Station 8
CH-1015 Lausanne

+41 21 693 55 09
Local: MA A2 403
EPFL > SB > SB-SMA > SMA-ENS

EPFL AVP-PGE EDMA-ENS
MA B2 424 (Bâtiment MA)
Station 8
CH-1015 Lausanne

+41 21 693 55 09
Local: MA B2 424
EPFL > VPA > VPA-AVP-PGE > AVP-PGE-EDOC > EDMA-ENS

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Données administratives

Publications

Publications Infoscience

Publications

Journal Articles

2022

Tree-cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains

B. Kapidani; M. Merkel; S. Schoeps; R. Vazquez

Computer Methods In Applied Mechanics And Engineering. 2022-05-15. DOI : 10.1016/j.cma.2022.114949.

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Analysis-aware defeaturing: Problem setting and a posteriori estimation

A. Buffa; O. Chanon; R. Vazquez Hernandez

Mathematical Models and Methods in Applied Sciences. 2022-01-31. DOI : 10.1142/S0218202522500099.

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2021

BPX preconditioners for isogeometric analysis using (truncated) hierarchical B-splines

C. Bracco; D. Cho; C. Giannelli; R. Vazquez

Computer Methods In Applied Mechanics And Engineering. 2021-06-01. DOI : 10.1016/j.cma.2021.113742.

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2020

Isogeometric analysis with C1 hierarchical functions on planar two-patch geometries

C. Bracco; C. Giannelli; M. Kapl; R. Vázquez

Computers & Mathematics with Applications. 2020-12-01. DOI : 10.1016/j.camwa.2020.03.018.

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A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries

A. Buffa; R. Puppi; R. Vazquez Hernandez

SIAM Journal on Numerical Analysis. 2020-09-30. DOI : 10.1137/19M1244718.

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Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach

L. Coradello; P. Antolin; R. Vázquez; A. Buffa

Computer Methods in Applied Mechanics and Engineering. 2020-02-29. DOI : 10.1016/j.cma.2020.112925.

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Isogeometric Mortar Coupling for Electromagnetic Problems

A. Buffa; J. Corno; C. de Falco; S. Schöps; R. Vazquez Hernandez

SIAM Journal on Scientific Computing. 2020. DOI : 10.1137/18M1235211.

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Multipatch approximation of the de Rham sequence and its traces in isogeometric analysis

A. Buffa; J. Dölz; S. Kurz; S. Schöps; R. Vázquez et al.

Numerische Mathematik. 2020. DOI : 10.1007/s00211-019-01079-x.

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Hierarchical B-spline complexes of discrete differential forms

J. A. Evans; M. A. Scott; K. M. Shepherd; D. C. Thomas; R. Vázquez Hernández

IMA Journal of Numerical Analysis. 2020. DOI : 10.1093/imanum/dry077.

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BPX preconditioners for isogeometric analysis using analysis-suitable T-splines

D. Cho; R. Vazquez Hernandez

IMA Journal of Numerical Analysis. 2020. DOI : 10.1093/imanum/dry032.

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2019

Suitably graded THB-spline refinement and coarsening: Towards an adaptive isogeometric analysis of additive manufacturing processes

M. Carraturo; C. Giannelli; A. Reali; R. Vazquez

Computer Methods In Applied Mechanics And Engineering. 2019-05-01. DOI : 10.1016/j.cma.2019.01.044.

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Adaptive Isogeometric Methods With Hierarchical Splines: An Overview

C. Bracco; A. Buffa; C. Giannelli; R. Vazquez

Discrete And Continuous Dynamical Systems. 2019-01-01. DOI : 10.3934/dcds.2019010.

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2018

Refinement Algorithms for Adaptive Isogeometric Methods with Hierarchical Splines

C. Bracco; C. Giannelli; R. Vazquez

Axioms. 2018-09-01. DOI : 10.3390/axioms7030043.

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An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations

R. Simpson; Z. Liu; R. Vazquez Hernandez; J. Evans

Journal of Computational Physics. 2018. DOI : 10.1016/j.jcp.2018.01.025.

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Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines

E. M. Garau; R. Vázquez

Applied Numerical Mathematics. 2018. DOI : 10.1016/j.apnum.2017.08.006.

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2016

A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0

R. Vázquez Hernández

Computers and Mathematics with Applications. 2016. DOI : 10.1016/j.camwa.2016.05.010.

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Unstructured spline spaces for isogeometric analysis based on spline manifolds

G. Sangalli; T. Takacs; R. Vázquez Hernández

Computer Aided Geometric Design. 2016. DOI : 10.1016/j.cagd.2016.05.004.

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2015

Approximation estimates for isogeometric spaces in multipatch geometries

A. Buffa; R. Vázquez Hernández; G. Sangalli; L. Beirão da Veiga

Numerical Methods for Partial Differential Equations. 2015. DOI : 10.1002/num.21943.

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2014

Isogeometric Finite Elements With Surface Impedance Boundary Conditions

R. Vázquez Hernández; A. Buffa; L. Di Rienzo; D. Li

IEEE Transactions on Magnetics. 2014. DOI : 10.1109/TMAG.2013.2280293.

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Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations

A. Buffa; G. Sangalli; R. Vázquez Hernández

Journal of Computational Physics. 2014. DOI : 10.1016/j.jcp.2013.08.015.

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Mathematical analysis of variational isogeometric methods

L. Beirão da Veiga; A. Buffa; G. Sangalli; R. Vázquez Hernández

Acta Numerica. 2014. DOI : 10.1017/S096249291400004X.

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2013

Analysis-suitable T-splines of arbitrary degree: definition, linear independence and approximation properties

L. Beirão da Veiga; A. Buffa; G. Sangalli; R. Vázquez Hernández

Mathematical Models and Methods in Applied Sciences. 2013. DOI : 10.1142/S0218202513500231.

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2012

NURBS-Based BEM Implementation of High-Order Surface Impedance Boundary Conditions

R. Vázquez Hernández; A. Buffa; L. Di Rienzo

IEEE Transactions on Magnetics. 2012. DOI : 10.1109/TMAG.2012.2204897.

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2011

Isogeometric discrete differential forms in three dimensions

A. Buffa; J. Rivas; G. Sangalli; R. Vázquez Hernández

SIAM Journal on Numerical Analysis. 2011. DOI : 10.1137/100786708.

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A thermo-electrical problem with a nonlocal radiation boundary condition

A. Bermúdez; D. Gómez; M. C. Muñiz; R. Vázquez Hernández

Mathematical and Computer Modelling. 2011. DOI : 10.1016/j.mcm.2010.07.019.

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2010

Isogeometric Analysis for Electromagnetic Problems

R. Vázquez Hernández; A. Buffa

IEEE Transactions on Magnetics. 2010. DOI : 10.1109/TMAG.2010.2044563.

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Isogeometric analysis in electromagnetics: B-splines approximation

A. Buffa; G. Sangalli; R. Vázquez Hernández

Computer Methods in Applied Mechanics and Engineering. 2010. DOI : 10.1016/j.cma.2009.12.002.

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Analysis of two stationary magnetohydrodynamics systems of equations including Joule heating

A. Bermúdez; R. Muñoz-Sola; R. Vázquez Hernández

Journal of Mathematical Analysis and Applications. 2010. DOI : 10.1016/j.jmaa.2010.03.046.

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2009

Numerical simulation of a thermo-electromagneto-hydrodynamic problem in an induction heating furnace

A. Bermúdez; D. Gómez; M. C. Muñiz; P. Salgado; R. Vázquez Hernández

Applied Numerical Mathematics. 2009. DOI : 10.1016/j.apnum.2008.12.005.

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A formulation of the eddy current problem in the presence of electric ports

A. Alonso Rodríguez; A. Valli; R. Vázquez Hernández

Numerische Mathematik. 2009. DOI : 10.1007/s00211-009-0241-7.

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Iterative methods for the saddle-point problem arising from the H_C/ E_I formulation of the eddy current problem

A. Alonso Rodríguez; R. Vázquez Hernández

SIAM Journal on Scientific Computing. 2009. DOI : 10.1137/080722278.

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Conference Papers

2016

An introduction to the numerical analysis of isogeometric methods

L. Beirão da Veiga; A. Buffa; G. Sangalli; R. Vázquez Hernández

2016. XVI ‘Jacques-Louis Lions’ Spanish-French School on Numerical Simulation in Physics and Engineering, Pamplona (Navarra, Spain), September 2014. p. 3-69. DOI : 10.1007/978-3-319-32146-2_1.

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2015

Dual compatible splines on non tensor product meshes

L. Beirão da Veiga; A. Buffa; G. Sangalli; R. Vázquez Hernández

2015. ICIAM 2015, Beijing, China, August 10-14, 2015. p. 41-63.

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Theses

2022

Stabilized isogeometric discretizations on trimmed and union geometries, and weak imposition of the boundary conditions for the Darcy flow

R. Puppi

Lausanne, EPFL, 2022. DOI : 10.5075/epfl-thesis-8472.

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Book Chapters

2014

Dual compatible splines on nontensor product meshes

L. Beirão da Veiga; A. Buffa; G. Sangalli; R. Vázquez Hernández

Approximation theory XIV: San Antonio 2013; Springer, Cham, 2014. p. 15-26.

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2008

Numerical simulation of induction furnaces for silicon purification

A. Bermúdez; D. Gómez; M. C. Muñiz; P. Salgado; R. Vázquez Hernández

Progress in industrial mathematics at ECMI 2006; Springer, Berlin, 2008. p. 48-65.

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Working Papers

2022

MATHICSE Technical Report : Adaptive isogeometric methods with C1 (truncated) hierarchical splines on planar multi-patch domains

C. Bracco; C. Giannelli; M. Kapl; R. Vazquez Hernandez

2022-04-21

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2021

MATHICSE Technical Report: An a posteriori error estimator for isogeometric analysis on trimmed geometries

A. Buffa; O. Chanon; R. Vázquez

2021-12-29

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MATHICSE Technical Report : Mathematical Foundations of Adaptive Isogeometric Analysis

A. Buffa; G. Gantner; C. Giannelli; D. Praetorius; R. Vazquez Hernandez

2021-07-05

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MATHICSE Technical Report : Analysis-aware defeaturing: problem setting and a posteriori estimation

A. Buffa; O. Chanon; R. Vazquez Hernandez

2021-04-21

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2019

MATHICSE Technical Report: BPX for Isogeometric Analysis Using (Truncated) Hierarchical B-splines

C. Bracco; D. Cho; C. Giannelli; R. Vazquez Hernandez

2019-12-27

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MATHICSE Technical Report: Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach

L. Coradello; P. Antolin Sanchez; R. Vazquez Hernandez; A. Buffa

2019-10-09

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MATHICSE Technical Report : A minimal stabilization procedure for isogeometric methods on trimmed geometries

A. Buffa; R. Puppi; R. Vazquez Hernandez

2019-02-13

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MATHICSE Technical Report : Isogeometric analysis with $C^1$ hierarchical functions on planar two-patch geometries

C. Bracco; C. Giannelli; M. Kapl; R. Vazquez Hernandez

2019-01-31

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Isogeometric Mortar Coupling for Electromagnetic Problems

A. Buffa; J. Corno; C. de Falco; S. Schöps; R. Vazquez Hernandez

2019-01-01

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2018

ADAPTIVE ISOGEOMETRIC METHODS WITH HIERARCHICAL SPLINES: AN OVERVIEW

C. Bracco; A. Buffa; C. Giannelli; R. Vazquez Hernandez

2018

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2017

MATHICSE Technical Report : Hierarchical B-spline Complexes of Discrete Differential Forms

J. A. Evans; M. A. Scott; K. Shepherd; D. Thomas; R. Vazquez Hernandez

2017-08-04

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Enseignement & Phd

Enseignement

Mathematics

A dirigé les thèses EPFL de

Puppi Riccardo ,

Cours

Numerical analysis and computational mathematics

(Fiche de cours pas encore validée par la section)