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ORCIDRafael Vázquez Hernández
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2020 – today
- 2023
[i16]Cesare Bracco, Carlotta Giannelli, Alessandro Reali, Michele Torre, Rafael Vázquez Hernández:
Adaptive isogeometric phase-field modeling of the Cahn-Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries. CoRR abs/2306.07112 (2023)- [i15]Andrea Bressan, Annalisa Buffa, Alen Kushova, Rafael Vázquez Hernández:
Energy conservative isogeometric techniques for the wave equation. CoRR abs/2311.18603 (2023) - [i14]Annalisa Buffa, Ondine Chanon, Denise Grappein, Rafael Vázquez Hernández, Martin Vohralík:
An equilibrated flux a posteriori error estimator for defeaturing problems. CoRR abs/2312.15968 (2023) - 2022
- [j14]Bernard Kapidani
, Rafael Vázquez Hernández:
High Order Geometric Methods With Splines: An Analysis of Discrete Hodge-Star Operators. SIAM J. Sci. Comput. 44(6): 3673- (2022) - [i13]Melina Merkel, Bernard Kapidani, Sebastian Schöps, Rafael Vázquez Hernández:
Torque Computation with the Isogeometric Mortar Method for the Simulation of Electric Machines. CoRR abs/2202.05771 (2022) - [i12]Bernard Kapidani, Rafael Vázquez Hernández:
High order geometric methods with splines: an analysis of discrete Hodge-star operators. CoRR abs/2203.00620 (2022) - [i11]Cesare Bracco, Carlotta Giannelli, Mario Kapl, Rafael Vázquez Hernández:
Adaptive isogeometric methods with C1 (truncated) hierarchical splines on planar multi-patch domains. CoRR abs/2204.10000 (2022) - [i10]Annalisa Buffa, Ondine Chanon, Rafael Vázquez Hernández:
Adaptive analysis-aware defeaturing. CoRR abs/2212.05183 (2022) - 2021
- [i9]Annalisa Buffa, Gregor Gantner, Carlotta Giannelli, Dirk Praetorius, Rafael Vázquez Hernández:
Mathematical foundations of adaptive isogeometric analysis. CoRR abs/2107.02023 (2021) - [i8]Bernard Kapidani, Melina Merkel, Sebastian Schöps, Rafael Vázquez Hernández:
Tree-Cotree Decomposition of Isogeometric Mortared Spaces in H(curl) on Multi-Patch Domains. CoRR abs/2110.15860 (2021) - [i7]Annalisa Buffa, Ondine Chanon, Rafael Vázquez Hernández:
An a posteriori error estimator for isogeometric analysis on trimmed geometries. CoRR abs/2112.14661 (2021) - 2020
- [j13]Cesare Bracco, Carlotta Giannelli, Mario Kapl, Rafael Vázquez Hernández:
Isogeometric analysis with C1 hierarchical functions on planar two-patch geometries. Comput. Math. Appl. 80(11): 2538-2562 (2020) - [j12]Annalisa Buffa, Jürgen Dölz, Stefan Kurz, Sebastian Schöps, Rafael Vázquez Hernández, Felix Wolf:
Multipatch approximation of the de Rham sequence and its traces in isogeometric analysis. Numerische Mathematik 144(1): 201-236 (2020) - [j11]Annalisa Buffa, Riccardo Puppi, Rafael Vázquez Hernández:
A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries. SIAM J. Numer. Anal. 58(5): 2711-2735 (2020) - [j10]Annalisa Buffa, Jacopo Corno, Carlo de Falco, Sebastian Schöps, Rafael Vázquez Hernández:
Isogeometric Mortar Coupling for Electromagnetic Problems. SIAM J. Sci. Comput. 42(1): B80-B104 (2020) - [i6]Annalisa Buffa, Ondine Chanon, Rafael Vázquez Hernández:
Analysis-aware defeaturing: first results. CoRR abs/2007.11525 (2020)
2010 – 2019
- 2019
- [i5]Annalisa Buffa, Jacopo Corno, Carlo de Falco, Sebastian Schöps, Rafael Vázquez Hernández:
Isogeometric Mortar Coupling for Electromagnetic Problems. CoRR abs/1901.00759 (2019) - [i4]Durkbin Cho, Rafael Vázquez Hernández:
BPX preconditioners for isogeometric analysis using analysis-suitable T-splines. CoRR abs/1907.01790 (2019) - [i3]Luca Coradello, Pablo Antolin, Rafael Vázquez Hernández, Annalisa Buffa:
Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach. CoRR abs/1910.03882 (2019) - [i2]Cesare Bracco, Durkbin Cho, Carlotta Giannelli, Rafael Vázquez Hernández:
BPX Preconditioners for Isogeometric Analysis Using (Truncated) Hierarchical B-splines. CoRR abs/1912.12073 (2019) - 2018
- [j9]Cesare Bracco, Carlotta Giannelli, Rafael Vázquez Hernández:
Refinement Algorithms for Adaptive Isogeometric Methods with Hierarchical Splines. Axioms 7(3): 43 (2018) - [j8]R. N. Simpson, Zhaowei Liu, Rafael Vázquez Hernández, J. A. Evans:
An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations. J. Comput. Phys. 362: 264-289 (2018) - 2017
- [i1]Zeger Bontinck, Jacopo Corno, Herbert De Gersem, Stefan Kurz, Andreas Pels, Sebastian Schöps, Felix Wolf, Carlo de Falco, Jürgen Dölz, Rafael Vázquez Hernández, Ulrich Römer:
Recent Advances of Isogeometric Analysis in Computational Electromagnetics. CoRR abs/1709.06004 (2017) - 2016
- [j7]Giancarlo Sangalli, Thomas Takacs, Rafael Vázquez Hernández:
Unstructured spline spaces for isogeometric analysis based on spline manifolds. Comput. Aided Geom. Des. 47: 61-82 (2016) - 2014
- [j6]L. Beirão da Veiga, Annalisa Buffa, Giancarlo Sangalli, Rafael Vázquez Hernández:
Mathematical analysis of variational isogeometric methods. Acta Numer. 23: 157-287 (2014) - [j5]Annalisa Buffa, Giancarlo Sangalli, Rafael Vázquez Hernández:
Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations. J. Comput. Phys. 257: 1291-1320 (2014) - 2011
- [j4]Carlo de Falco, Alessandro Reali, Rafael Vázquez Hernández:
GeoPDEs: A research tool for Isogeometric Analysis of PDEs. Adv. Eng. Softw. 42(12): 1020-1034 (2011) - [j3]Annalisa Buffa, Judith Rivas, Giancarlo Sangalli, Rafael Vázquez Hernández:
Isogeometric Discrete Differential Forms in Three Dimensions. SIAM J. Numer. Anal. 49(2): 818-844 (2011)
2000 – 2009
- 2009
- [j2]Ana Alonso Rodríguez, Alberto Valli, Rafael Vázquez Hernández:
A formulation of the eddy current problem in the presence of electric ports. Numerische Mathematik 113(4): 643-672 (2009) - [j1]Ana Alonso Rodríguez, Rafael Vázquez Hernández:
Iterative Methods for the Saddle-Point Problem Arising from the HC/EI Formulation of the Eddy Current Problem. SIAM J. Sci. Comput. 31(4): 3155-3178 (2009)
Coauthor Index
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