• Numerics of PDEs
  • Finite Element Methods
  • Multigrid methods
  • A posteriori error estimates
  • p-robust linear solvers
  • Cost-optimality of adaptive FEM

  1. P. Bringmann, A. Miraçi, D. Praetorius: Iterative solvers in adaptive FEM, Advances in Applied Mechanics, 59 (2024), 147-212. [www], arXiv:2404.07126
  2. M. Innerberger, A. Miraçi, D. Praetorius, J. Streitberger: hp-robust multigrid solver on locally refined meshes for FEM discretizations of symmetric elliptic PDEs,  ESAIM: Mathematical Modelling and Numerical Analysis, 58 (2024), 247–272 [www](open access), [arXiv:2210.10415]  
  3. M. Brunner, P. Heid, M. Innerberger, A. Miraçi, D. Praetorius, J. Streitberger: Adaptive FEM with quasi-optimal overall cost for nonsymmetric linear elliptic PDEs, IMA Journal of Numerical Analysis, 44 (2024), 1560–1596 and 1903–1909. [www] (open access), [corrigendum](open access), [arXiv:2212.00353]
  4. A. Miraçi, J. Papež, M. Vohralík: A-posteriori-steered p-robust multigrid with optimal step-sizes and adaptive number of smoothing steps, SIAM J. Sci. Comput. 43, 5 (2021), S117–S145. [www] [preprint]
  5. A. Miraçi, J. Papež, M. Vohralík: Contractive local adaptive smoothing based on Dörfler’s marking in a-posteriori-steered p-robust multigrid solvers, Comput. Methods Appl. Math. 21, 2 (2021), 445–468. [www] [preprint]
  6. A. Miraçi, J. Papež, M. Vohralík: A multilevel algebraic error estimator and the corresponding iterative solver with p-robust behavior, SIAM J. Numer. Anal. 58, 5 (2020), 2856–2884. [www] [preprint]

 

  1. Ani Miraçi, Jan Papež, Martin Vohralík, Ivan Yotov: A-posteriori-steered p-robust multigrid and domain decomposition methods with optimal step-sizes for mixed finite element discretizations of elliptic problems, [arXiv:2406.09872],[hal-04611932], 2024
  2. A. Miraçi, D. Praetorius, J. Streitberger: Parameter-robust full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs, [arXiv:2401.17778], 2024
  3. P. Bringmann, M. Feischl, A. Miraçi, D. Praetorius, J. Streitberger: On full linear convergence and optimal complexity of adaptive FEM with inexact solver, [arXiv:2311.15738], 2023

  1. M. Innerberger, A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík: Role of hp-robust solvers in optimal complexity of AFEM, SIAM Conference on Applied Linear Algebra (LA24), Paris, France, 14.05.2024 [slides]
  2. M. Innerberger, A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík: Role of hp-robust solvers in optimal complexity of AFEM, Numerical Analysis and Scientific Computing (NASC) seminar, University of Manchester, UK, 03.05.2024 [slides]
  3. P. Bringmann, M. Innerberger, A. Miraçi, D. Praetorius, J. Streitberger: Parameter-robust convergence and optimal complexity of AFEM, PDE Afternoon seminar, University of Vienna, Austria, 24.04.2024 [slides]
  4. M. Brunner, P. Heid, M. Innerberger, A. Miraçi, D. Praetorius, J. Streitberger: AFEM for nonsymmetric linear elliptic PDEs: optimal complexity, Finite Element Workshop, Friedrich Schiller Universität Jena, Germany 22.03.2023 [slides]
  5. M. Innerberger, A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík:  A-posteriori-steered h- and p-robust multigrid solvers and adaptivity, Seminar at the Institute of Mathematics of the Czech Academy of Sciences, Prague, Czech Republic, 09.12.2022 [slides]
  6. M. Innerberger, A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík:  A-posteriori-steered h- and p-robust multigrid solvers and adaptivity, Numerical Analysis and Scientific Computing seminar, University of Strathclyde, UK (online) 06.10.2022 [slides]
  7. A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík:  A-posteriori-steered and adaptive p-robust multigrid solvers, Inria Paris Workshop, France 08.06.2022 [slides]
  8. A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík:  A-posteriori-steered h- and p-robust multigrid solvers,  Equadiff15, Brno, Czech Republic 08.06.2022 [slides]
  9. A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík:  A-posteriori-steered h- and p-robust multigrid solvers, BI.discrete22 Workshop, Bielefeld, Germany 22.08.2022 [slides]
  10. A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík:  A-posteriori-steered h- and p-robust multigrid solvers, Austrian Numerical Analysis Day, Linz, Austria 05.05.2022 [slides]
  11. A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík:  A-posteriori-steered h- and p-robust multigrid solvers, PDE Afternoon seminar, University of Vienna, Austria, 10.11.2021 [slides]
  12. A. Miraçi, J. Papež, M. Vohralík:  A-posteriori-steered and adaptive p-robust multigrid solvers, European Finite Element Fair, Inria Paris, France 10.09.2021 [slides]
  13. A. Miraçi, J. Papež, M. Vohralík:  A-posteriori-steered and adaptive p-robust multigrid solvers, ICOSAHOM, Vienna, Austria (online) 14.07.2021 [slides]
  14. A. Miraçi, J. Papež, M. Vohralík:  Optimal step-sizes and adaptive number of smoothing steps in p-robust multigrid solvers, WCCM-ECCOMAS Congress, (online) 11-15.01.2021 [slides]
  15. A. Miraçi, J. Papež, M. Vohralík:  Contractive local adaptive smoothing based on Dörfler marking in a-posteriori-steered p-robust multigrid solvers, Sparse Days Meeting, (online) 23-25.11.2020 [slides]
  16. A. Miraçi, J. Papež, M. Vohralík:  A multilevel algebraic error estimator and the corresponding iterative solver with p-robust behavior, 15TH U.S. National Congress on Computational Mechanics, Austin, Texas, USA, 28.07-01.08.2019 [slides]
  17. A. Miraçi, J. Papež, M. Vohralík:  A multilevel algebraic error estimator and the corresponding iterative solver with p-robust behavior, ICIAM, Valencia, Spain, 15-19.08.2019 [slides]
  18. A. Miraçi, J. Papež, M. Vohralík:  A multilevel algebraic error estimator and the corresponding iterative solver with p-robust behavior, MAFELAP, Brunel University, London, UK, 18-21.06.2019 [slides]
  19. A. Miraçi, J. Papež, M. Vohralík:  A multilevel algebraic error estimator and the corresponding iterative solver with p-robust behavior, International Conference on Adaptive Modeling and Simulation, Alicante, Spain, 27-29.05.2019 [slides]

  1. M. Brunner, M. Innerberger, A. Miraçi, D. Praetorius, J. Streitberger: AFEM for nonsymmetric linear elliptic PDEs: optimal complexity, 2nd SFB International Workshop on Taming Complexity in Partial Differential Systems, Vienna, Austria 19-21.04.2023 [poster]