Research

List of publications

Journals

  1. C. Bracco, D. Cho, C. Giannelli, R. Vàzquez, BPX preconditioners for isogeometric analysis using hierarchical splines, Comput. Methods Appl. Mech. Engrg., in press, 2021.

  2. D. Selegato, C. Bracco, C. Giannelli, G. Parigi, C. Luchinat, L. Sgheri, E. Ravera, Comparison of different rewighting approaches for the calculation of conformational variability of macromolecules from molecular simulations, ChemPhysChem 22, 127-138, 2021.

  3. C. Bracco, C. Giannelli, M. Kapl, R. Vazquéz, Isogeometric analysis with C1 hierarchical functions on planar two-patch geometries, Comput. Math. Appl. 80, 2358-2562, 2020.

  4. C. Bracco, O. Davydov, C. Giannelli, A. Sestini, Fault and gradient fault detection and reconstruction from scattered data,  Computer Aided Geom. D.  75, 2019.

  5. C. Bracco, T. Lyche, C. Manni, H. Speleers, Tchebycheffian spline spaces over planar T-meshes: Dimension bounds and dimension instabilities, J. Comp. Appl. Math. 349, 265-278, 2019.

  6. C. Bracco, A. Buffa, C. Giannelli, R. Vàzquez, Adaptive isogeometric methods with hierarchical splines: an overview, Discret. Contin. Dyn. S. 39 (2019), 241-262.

  7. C. Bracco, O. Davydov, C. Giannelli, A. Sestini, An application of numerical differentiation formulas to discontinuity curve detection from irregularly sampled data,  Rend. Semin. Mat. Univ. Politec. Torino 76 (2), 65-76, 2018.

  8. C. Bracco, C. Giannelli, R. Vàzquez, Refinement algorithms for adaptive isogeometric methods with hierarchical splines, Axioms 7, 2018.

  9. C. Bracco, C. Giannelli, D. Grossmann, A.Sestini, Adaptive fitting with THB-splines: Error analysis and industrial applications, Computer Aided Geom. D. 62 (2018), 239-252.

  10. C. Bracco, C. Giannelli, A. Sestini, Adaptive scattered data fitting by extension of local approximations to hierarchical splines, Computer Aided Geom. D. 52-53 (2017), 90-106.

  11. C. Bracco, D. Cho, C. Dagnino, T. Kim, On the approximation power of generalized T-splines, J. Comp. Appl. Math. 311 (2017), 423-438.

  12. C. Bracco, C. Giannelli, F. Mazzia, A. Sestini, Bivariate hierarchical Hermite spline quasi-interpolation, BIT 56 (2016), 1165–1188.

  13. C. Bracco, T. Lyche, C. Manni, F. Roman, H. Speleers, On the dimension of Tchebycheffian spline spaces over planar T-meshes, Comput. Aided Geom. D. 45 (2016), 151-173.

  14. C. Bracco, T. Lyche, C. Manni, F. Roman, H. Speleers, Generalized spline spaces over T-meshes: Dimension formula and locally refined generalized B-splines, Appl. Math. Comput. 272 (2016), 187-198.

  15. C. Bracco, F. Roman, Spaces of generalized splines over T-meshes, J. Comp. Appl. Math. 294 (2016), 102-123.

  16. D. Berdinsky, T. Kim, D. Cho, C. Bracco, S. Kiatpanichgij, Bases of T-meshes and the refinement of hierarchical B-splines, Comput. Methods Appl. Mech. Engrg. 283 (2015), 841-855.

  17. C. Bracco, D. Cho, Generalized T-splines and VMCR T-meshes, Comput. Methods Appl. Mech. Engrg. 280 (2014), 176-196.

  18. C.Bracco, D. Berdinsky, D. Cho, M. Oh, T. Kim, Trigonometric Generalized T-splines, Comput. Methods Appl. Mech. Engrg. 268 (2014), 540-556.

  19. D. Berdinsky, T. Kim, C. Bracco, D. Cho, M. Oh, Y. Seo, S. Kiatpanichgij, Iterative refinement of hierarchical T-meshes for bases of spline spaces with highest order smoothness, Comput. Aided Design 47 (2014), 96-107.

  20. D. Berdinsky, T. Kim, C. Bracco, D. Cho, B. Mourrain, M. Oh, S. Kiatpanichgij, Dimensions and bases of hierarchical tensor-product splines, J. Comp. Appl. Math. 257 (2014), 86-104.

  21. S. Hur, T. Kim, C. Bracco, Comprehensive study of intersection curves in R4 based on the system of ODEs, J. Comp. Appl. Math. 256 (2014), 121-130.

  22. G. Allasia, C. Bracco, Hermite-Birkhoff interpolation on arbitrarily distributed data in Banach spaces, Numer. Funct. Anal. Optim. 34 (3) (2013), 237-254.

  23. G. Allasia, C. Bracco, Multivariate Hermite-Birkhoff interpolation by a class of cardinal basis functions, Appl. Math. Comput. 218 (2012), 9248-9260.

  24. G. Allasia, C. Bracco, Two interpolation operators on irregularly distributed data in inner product spaces, J. Comp. Appl. Math. 235 (2011), 1763-1774.

  25. G. Allasia, C. Bracco, Lagrange interpolation on arbitrarily distributed data in Banach spaces, Numer. Funct. Anal. Optim. 32 (2) (2011), 111-125.

Proceedings

  1. C. Bracco, C. Giannelli, D. Grossmann, S. Imperatore, D. Mokris, A. Sestini, THB-spline approximations for turbine blade design with local B-spline approximations, special volume of Springer SEMA-SEMAI Seies granted to MACMAS 2019, in stampa, 2020.

  2. C. Bracco, C. Giannelli, A. Sestini, Adaptive scattered data fitting by extension of local approximations to hierarchical spline, in Proceedings of 9th International Conference on Mathematical Methods for Curves and Surfaces, Lecture Notes in Computer Science 10521, 23-41, 2017.

  3. C. Bracco, Lagrange interpolation on scattered data in Banach spaces by biorthonormal operators, in MASCOT 10 – Grid Generation, Approximation and Visualization, 209-218, 2011 .

  4. G. Allasia, C. Bracco, Lagrange interpolation in Banach spaces for normalized three-layers neural networks, in Proceedings of the CMMSE 2010, 48-56, 2010.

  5. G. Allasia, C. Bracco, Two interpolation formulas on irregularly distributed data, in Proceedings of the CMMSE 2009, 80-84, 2009.