Publikationen (47) Publikationen von RAFAEL VAZQUEZ HERNANDEZ

2024

  1. Adaptive methods with C1 splines for multi-patch surfaces and shells

    Computer Methods in Applied Mechanics and Engineering, Vol. 431

  2. Arbitrary order spline representation of cohomology generators for isogeometric analysis of eddy current problems

    Advances in Computational Mathematics, Vol. 50, Núm. 5

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. Analysis-aware defeaturing: Problem setting and a posteriori estimation

    Mathematical Models and Methods in Applied Sciences, Vol. 32, Núm. 2, pp. 359-402

  2. Mathematical Foundations of Adaptive Isogeometric Analysis

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

  3. Torque Computation With the Isogeometric Mortar Method for the Simulation of Electric Machines

    IEEE Transactions on Magnetics, Vol. 58, Núm. 9

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

    Computer Methods in Applied Mechanics and Engineering, Vol. 395

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

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

    Numerische Mathematik, Vol. 144, Núm. 1, pp. 201-236

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