Rafael Vazquez

2023, Journal article
Adaptive isogeometric methods with C-1 (truncated) hierarchical splines on planar multi-patch domains
C. Bracco, C. Giannelli, M. Kapl, and R. Vazquez
Mathematical models and methods in applied sciences 33(09) pp. 1829-1874
CNR@IRIS | DOI: 10.1142/S0218202523500434

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2022, Journal article
An a posteriori error estimator for isogeometric analysis on trimmed geometries
A. Buffa, O. Chanon, and R. Vazquez
IMA journal of numerical analysis pp.tot 29
CNR@IRIS | DOI: 10.1093/imanum/drac063

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2022, Journal article
Analysis-aware defeaturing: Problem setting and a posteriori estimation
A. Buffa, O. Chanon, and R. Vazquez
Mathematical models and methods in applied sciences 32(02) pp. 359-402
CNR@IRIS | DOI: 10.1142/S0218202522500099

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2022, Journal article
Mathematical foundations of adaptive isogeometric analysis
A. Buffa, G. Gantner, C. Giannelli, D. Praetorius, and R. Vazquez
Archives of computational methods in engineering 29(7) pp. 4479-4555
CNR@IRIS | DOI: 10.1007/s11831-022-09752-5

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2022, Journal article
Tree-cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains
B. Kapidani, M. Merkel, S. Schoeps, and R. Vazquez
Computer methods in applied mechanics and engineering 395 pp.tot 21
CNR@IRIS | DOI: 10.1016/j.cma.2022.114949

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2021, Journal article
BPX preconditioners for isogeometric analysis using (truncated) hierarchical B-splines
C. Bracco, D. Cho, C. Giannelli, and R. Vazquez
Computer methods in applied mechanics and engineering 379 pp.tot 30
CNR@IRIS | DOI: 10.1016/j.cma.2021.113742

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2020, Journal article
A minimal stabilization procedure for isogeometric methods on trimmed geometries
A. Buffa, R. Puppi, and R. Vazquez
SIAM journal on numerical analysis 58(5) pp. 2711-2735
CNR@IRIS | DOI: 10.1137/19M1244718

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2020, Journal article
Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach
L. Coradello, P. Antolin, R. Vazquez, and A. Buffa
Computer methods in applied mechanics and engineering 364 pp.tot 19
CNR@IRIS | DOI: 10.1016/j.cma.2020.112925

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2020, Journal article
BPX preconditioners for isogeometric analysis using analysis-suitable T-splines
D. Cho, Durkbin and R. Vazquez
IMA journal of numerical analysis 40(1) pp. 764-799
CNR@IRIS | DOI: 10.1093/imanum/dry032

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2020, Journal article
Hierarchical B-spline complexes of discrete differential forms
J.A. Evans, M.A. Scott, K.M. Shepherd, D.C. Thomas, and R. Vazquez Hernandez
IMA journal of numerical analysis 40(1) pp. 422-473
CNR@IRIS | DOI: 10.1093/imanum/dry077

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2020, Journal article
Isogeometric analysis with C^1 hierarchical functions on planar two-patch geometries
C. Bracco, C. Giannelli, M. Kapl, and R. Vazquez
Computers & mathematics with applications (1987) 80(11) pp. 2538-2562
CNR@IRIS | DOI: 10.1016/j.camwa.2020.03.018

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2020, Journal article
Isogeometric mortar coupling for electromagnetic problems
A. Buffa, J. Corno, C. de Falco, S. Schoeps, and R. Vazquez Hernandez
SIAM journal on scientific computing 42(1) pp. B80-B104
CNR@IRIS | DOI: 10.1137/18M1235211

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2020, Journal article
Multipatch approximation of the de Rham sequence and its traces in isogeometric analysis
A. Buffa, J. Dolz, S. Kurz, S. Schops, R. Vazquez, and F. Wolf
Numerische Mathematik 144 pp. 201-236
CNR@IRIS | DOI: 10.1007/s00211-019-01079-x

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2019, Journal article
Adaptive isogeometric methods with hierarchical splines: An overview
C. Bracco, A. Buffa, C. Giannelli, and R. Vazquez
Discrete and continuous dynamical systems. Series A 39(1) pp. 241-262
CNR@IRIS | DOI: 10.3934/dcds.2019010

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2019, Journal article
Suitably graded THB-spline refinement and coarsening: Towards an adaptive isogeometric analysis of additive manufacturing processes
M. Carraturo, C. Giannelli, A. Reali, and R. Vazquez
Computer methods in applied mechanics and engineering 348 pp. 660-679
CNR@IRIS | DOI: 10.1016/j.cma.2019.01.044

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2018, Journal article
Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
E.M. Garau and R. Vazquez
Applied numerical mathematics 123 pp. 58-87
CNR@IRIS | DOI: 10.1016/j.apnum.2017.08.006

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2018, Journal article
An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations
R.N. Simpson, Z. Liu, R. Vázquez, and J.A. Evans
Journal of computational physics 362 pp. 264-289
CNR@IRIS | DOI: 10.1016/j.jcp.2018.01.025

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2018, Journal article
Refinement algorithms for adaptive isogeometric methods with hierarchical splines
C. Bracco, C. Giannelli, and R. Vazquez
Axioms 7(3)
CNR@IRIS | DOI: 10.3390/axioms7030043

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2016, Journal article
A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0
R. Vázquez
Computers & mathematics with applications (1987) 72(3) pp. 523-554
CNR@IRIS | DOI: 10.1016/j.camwa.2016.05.010

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2016, Journal article
Unstructured spline spaces for isogeometric analysis based on spline manifolds
G. Sangalli, T. Takacs, and R. Vázquez
Computer aided geometric design 47 pp. 61-82
CNR@IRIS | DOI: 10.1016/j.cagd.2016.05.004

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2015, Journal article
Approximation estimates for isogeometric spaces in multipatch geometries
A. Buffa, R.H. Vázquez, G. Sangalli, and L. Beirão da Veiga
Numerical methods for partial differential equations 31(2) pp. 422-438
CNR@IRIS | DOI: 10.1002/num.21943

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2014, Journal article
Isogeometric FEM Implementation of High-Order Surface Impedance Boundary Conditions
R. Vázquez, A. Buffa, and L. Di Rienzo
IEEE transactions on magnetics 50(6) pp. 1-8
CNR@IRIS | DOI: 10.1109/TMAG.2014.2298435

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2014, Journal article
Isogeometric Finite Elements With Surface Impedance Boundary Conditions
R. Vázquez, A. Buffa, L. Di Rienzo, and D. Li
IEEE transactions on magnetics 50(2) pp. 429-432
CNR@IRIS | DOI: 10.1109/TMAG.2013.2280293

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2014, Journal article
Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations
A. Buffa, G. Sangalli, and R. Vázquez
Journal of computational physics 257 pp. 1291-1320
CNR@IRIS | DOI: 10.1016/j.jcp.2013.08.015

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2014, Journal article
Mathematical analysis of variational isogeometric methods
L. Beirão da Veiga, A. Buffa, G. Sangalli, and R. Vázquez
Acta numerica 23 pp. 157-287
CNR@IRIS | DOI: 10.1017/S096249291400004X

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2013, Journal article
Analysis-suitable T-Splines of arbitrary degree: Definition, linear independence and approximation properties
L. Beirão da Veiga, A. Buffa, G. Sangalli, and R. Vázquez
Mathematical models and methods in applied sciences 23(11) pp. 1979-2003
CNR@IRIS | DOI: 10.1142/S0218202513500231

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2012, Journal article
NURBS-Based BEM Implementation of High-Order Surface Impedance Boundary Conditions
R. Vázquez, A. Buffa, and L. Di Rienzo
IEEE transactions on magnetics 48(12) pp. 4757-4766
CNR@IRIS | DOI: 10.1109/TMAG.2012.2204897

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2011, Journal article
A thermo-electrical problem with a nonlocal radiation boundary condition
A. Bermúdez, D. Gómez, M.C. Muñiz, and R. Vázquez
Mathematical and computer modelling 53(1-2) pp. 63-80
CNR@IRIS | DOI: 10.1016/j.mcm.2010.07.019

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2011, Journal article
GeoPDEs: a research tool for Isogeometric Analysis of PDEs
C. de Falco, A. Reali, and R. Vázquez
Advances in engineering software (1992) 42(12) pp. 1020-1034
CNR@IRIS | DOI: 10.1016/j.advengsoft.2011.06.010

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2011, Journal article
Isogeometric discrete differential forms in three dimensions
A. Buffa, J. Rivas, G. Sangalli, and R. Vázquez
SIAM journal on numerical analysis 49(2) pp. 818-844
CNR@IRIS | DOI: 10.1137/100786708

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2010, Journal article
Analysis of two stationary magnetohydrodynamics systems of equations including Joule heating
A. Bermúdez, R. Muñoz-Sola, and R. Vázquez
Journal of mathematical analysis and applications 368 pp. 444-468
CNR@IRIS | DOI: 10.1016/j.jmaa.2010.03.046

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2010, Journal article
Isogeometric analysis for electromagnetic problems
R. Vázquez and A. Buffa
IEEE transactions on magnetics 46 pp. 3305-3308
CNR@IRIS | DOI: 10.1109/TMAG.2010.2044563

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2010, Journal article
Isogeometric analysis in electromagnetics: B-splines approximation
A. Buffa, G. Sangalli, and R. Vázquez
Computer methods in applied mechanics and engineering 199(17-20) pp. 1143-1152
CNR@IRIS | DOI: 10.1016/j.cma.2009.12.002

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2016, Essay or book chapter
An introduction to the numerical analysis of isogeometric methods
L. Beirão da Veiga, A. Buffa, G. Sangalli, and R. Vázquez
Numerical simulation in physics and engineering pp. 3-69 (SEMA SIMAI Springer Series), edited by Inmaculada Higueras, Teo Roldán, Juan José Torrens. Springer International Publishing, 978-3-319-32145-5
CNR@IRIS | DOI: 10.1007/978-3-319-32146-2_1

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2016, Essay or book chapter
An introduction to the numerical analysis of isogeometric methods
L. Beirão da Veiga, A. Buffa, G. Sangalli, and R. Vázquez
IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs,Cetraro, Italy 2012 pp. 87-154, edited by Annalisa Buffa, Giancarlo Sangalli. Springer International Publishing, 978-3-319-42308-1
CNR@IRIS | DOI: 10.1007/978-3-319-42309-8_3

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2011, Essay or book chapter
Numerical Modelling of Industrial Induction
A. Bermúdez, D. Gómez, M.C. Muñiz, P. Salgado, and R. Vázquez
Advances in Induction and Microwave Heating of Mineral and Organic Materials pp. 75-100, edited by Stanislaw Grundas. InTech, 978-953-307-522-8
CNR@IRIS | DOI: 10.5772/562

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2015, Conference proceedings
Dual compatible splines on non tensor product meshes
L. Beirão da Veiga, A. Buffa, G. Sangalli, and R. Vázquez
Proceedings of the 8th International Congress on Industrial and Applied Mathematics, edited by Lei Guo & Zhi-Min Ma. (8th International Congress on Industrial and Applied Mathematics, Beijing, China, 10-14/08/2015), 7040434539
CNR@IRIS

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2014, Conference proceedings
Dual Compatible Splines on Nontensor Product Meshes
L. Beirão da Veiga, A. Buffa, G. Sangalli, and R. Vázquez
Approximation Theory XIV: San Antonio 2013 pp. 15-26 (Springer Proceedings in Mathematics & Statistics), edited by Gregory E. Fasshauer, Larry L. Schumaker. (Approximation Theory XIV, San Antonio, TX, 7-10 aprile 2013), 978-3-319-06403-1
CNR@IRIS | DOI: 10.1007/978-3-319-06404-8_2

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2014, Conference proceedings
Isogeometric analysis for electromagnetic scattering problems
A. Buffa and R. Vázquez
Numerical Electromagnetic Modeling and Optimization for RF, Microwave, and Terahertz Applications (NEMO) pp.tot 3 (NEMO 2014, International Conference on Numerical Electromagnetic Modeling and Optimization for RF, Microwave, and Terahertz Applications, Pavia, 14-16 maggio 2014)
CNR@IRIS | DOI: 10.1109/NEMO.2014.6995712

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2011, Conference proceedings
Contributions to the mathematical study of some problems in magnetohydrodynamics and induction heating
R. Vázquez Hernández
RSME 2011Transfer and Industrial Mathematics: Proceedings of the RSME Conference on Transfer nad Industrial Mathematics pp. 68-72, edited by P. Quintela, M. J. Esteban, W. González, M. C. Muñiz, J. Rubio, J. J. Salazar., Universidade de Santiago de Compostela (RSME 2011Transfer and Industrial Mathematics, Santiago de Compostela, 2011), 978-84-9887-715-1
CNR@IRIS

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2010, Conference proceedings
Isogeometric analysis in electromagnetism: analysis and testing
R. Vázquez (joint with A. Buffa and G. Sangalli)
Computational Electromagnetism and Acoustics pp. 506-509 (7), edited by R.Hiptmair, R.Hoppe, P.Joly, U.Langer., European Mathematical Society (Computational electromagnetism and acoustics, Oberwolfach, Germania, 14-20/02/2010)
CNR@IRIS

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2009, Conference proceedings
Numerical solution of Maxwell's equations using B-splines
A. Buffa and R. Vázquez
(International Conference on Electromagnetics in Advanced Applications, ICEAA '09, Torino)
CNR@IRIS

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2011, Software
GeoPDEs: an Octave/Matlab library for Isogeometric Analysis
C. de Falco, A. Reali, and R. Vázquez

CNR@IRIS | Link

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