Publikationen in Zusammenarbeit mit Forschern von Consiglio Nazionale delle Ricerche (33)

2023

  1. Adaptive isogeometric methods with C 1 (truncated) hierarchical splines on planar multi-patch domains

    Mathematical Models and Methods in Applied Sciences, Vol. 33, Núm. 9, pp. 1829-1874

  2. Adaptive isogeometric phase-field modeling of the Cahn–Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries

    Computer Methods in Applied Mechanics and Engineering, Vol. 417

  3. An a posteriori error estimator for isogeometric analysis on trimmed geometries

    IMA Journal of Numerical Analysis, Vol. 43, Núm. 5, pp. 2533-2561

  4. High order geometric methods with splines: Fast solution with explicit time-stepping for Maxwell equations

    Journal of Computational Physics, Vol. 493

2022

  1. Mathematical Foundations of Adaptive Isogeometric Analysis

    Archives of Computational Methods in Engineering, Vol. 29, Núm. 7, pp. 4479-4555

2021

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

    Computer Methods in Applied Mechanics and Engineering, Vol. 379

2020

  1. A minimal stabilization procedure for isogeometric methods on trimmed geometries

    SIAM Journal on Numerical Analysis, Vol. 58, Núm. 5, pp. 2711-2736

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

    Computer Methods in Applied Mechanics and Engineering, Vol. 364

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

    IMA Journal of Numerical Analysis, Vol. 40, Núm. 1, pp. 764-799

  4. Hierarchical B-spline complexes of discrete differential forms

    IMA Journal of Numerical Analysis, Vol. 40, Núm. 1, pp. 422-473

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

    Computers and Mathematics with Applications, Vol. 80, Núm. 11, pp. 2538-2562

2019

  1. Adaptive isogeometric methods with hierarchical splines: An overview

    Discrete and Continuous Dynamical Systems- Series A, Vol. 39, Núm. 1, pp. 241-262

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

    Computer Methods in Applied Mechanics and Engineering, Vol. 348, pp. 660-679

2018

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

    Applied Numerical Mathematics, Vol. 123, pp. 58-87

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

    Journal of Computational Physics, Vol. 362, pp. 264-289

  3. Refinement algorithms for adaptive isogeometric methods with hierarchical splines

    Axioms, Vol. 7, Núm. 3

2016

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

    Computers and Mathematics with Applications, Vol. 72, Núm. 3, pp. 523-554

  2. An introduction to the numerical analysis of isogeometric methods

    SEMA SIMAI Springer Series (Springer International Publishing), pp. 3-69

  3. An introduction to the numerical analysis of isogeometric methods

    Lecture Notes in Mathematics (Springer Verlag), pp. 87-154

2015

  1. Approximation estimates for isogeometric spaces in multipatch geometries

    Numerical Methods for Partial Differential Equations, Vol. 31, Núm. 2, pp. 422-438