1. A. Miraçi, D. Praetorius, J. Streitberger: Unconditional full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs, Mathematics of Computation, in print (2025). [www], [arXiv:2401.17778]
2. P. Bringmann, M. Feischl, A. Miraçi, D. Praetorius, J. Streitberger: On full linear convergence and optimal complexity of adaptive FEM with inexact solver, Computers & Mathematics with Applications, 180 (2025), 102–129. [www] (open access), [arXiv:2311.15738]
3. P. Bringmann, A. Miraçi, D. Praetorius: Iterative solvers in adaptive FEM, Advances in Applied Mechanics, 59 (2024), 147–212. [www], arXiv:2404.07126
4. 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] 
5. 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]
6. 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]
7. 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]
8. 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. P. Hilbert, A. Miraci, D. Praetorius: Generalized preconditioned conjugate gradients for adaptive FEM with optimal complexity, [arxiv:2601.14911], [hal-05475870], 2026.
2. A. Miraçi, J. Papež, M. Vohralík, I. 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

A. Miraçi: A-posteriori-steered and adaptive p-robust multigrid solvers. PhD thesis, (2020) [www]

Supervised by: M. Vohralík and A. Ern.

1. P. Bringmann, M. Innerberger, A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík: A-posteriori-steered h- and p-robust multigrid and optimal complexity of AFEM, Séminaire d’analyse numérique et calcul scientifique, Laboratoire de Mathématiques, Besançon, Université de Franche-Comté, France, 29.01.2026 [slides]
2. P. Bringmann, M. Innerberger, A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík: A-posteriori-steered h- and p-robust multigrid and optimal complexity of AFEM, LJLL Seminar, Sorbonne Université, France, 10.10.2025 [slides]
3. P. Bringmann, M. Innerberger, A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík: A-posteriori-steered h- and p-robust multigrid and optimal complexity of AFEM, ANEDP Seminar, University of Lille, France, 01.10.2025 [slides]
4. P. Bringmann, M. Innerberger, A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík: A-posteriori-steered h- and p-robust multigrid and optimal complexity of AFEM, ENUMATH 2025, Heidelberg, Germany, 03.09.2025 [slides]
5. P. Bringmann, M. Innerberger, A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík: High-order robust iterative solvers and optimal complexity of adaptive FEM, 30th Biennial Numerical Analysis Conference, University of Strathclyde, UK, 26.06.2025 [slides]
6. A. Miraçi, D. Praetorius, J. Streitberger: Unconditional convergence and optimal complexity of adaptive iteratively linearized FEM, internal seminar NumPDEs, 19th Austrian Numerical Analysis Day, Paris Lodron University of Salzburg, Austria, 09.05.2025 [slides]
7. A. Miraçi, D. Praetorius, J. Streitberger: Unconditional convergence and optimal complexity of adaptive iteratively linearized FEM, internal seminar NumPDEs, TU Wien, Austria, 03.04.2025 [slides]
8. P. Bringmann, M. Innerberger, A. Miraçi, J. Papež, D. Praetorius, J. Streitberger, M. Vohralík: Iterative solvers and optimal complexity of adaptive finite element methods, internal seminar SERENA, Inria Paris, France, 17.12.2024 [slides]
9. 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]
10. 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]
11. 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]
12. 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]
13. 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]
14. 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]
15. 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]
16. 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]
17. 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]
18. 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]
19. 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]
20. 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]
21. A. Miraçi, J. Papež, M. Vohralík:  A-posteriori-steered and adaptive p-robust multigrid solvers, ICOSAHOM, Vienna, Austria (online) 14.07.2021 [slides]
22. 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]
23. 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]
24. 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]
25. 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]
26. 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]
27. 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]
2. A. Miraçi, D. Praetorius, J. Streitberger: Unconditional full R-linear convergence and optimal complexity of AFEM for nonlinear PDEs, 3rd SFB International Workshop on Taming Complexity in Partial Differential Systems, Vienna, Austria 24-26.02.2022 [poster]

• MooAFEM
• APS-MG 

07.2025 – 12.2028 :  FWF research project Optimal robust solvers for reliable and efficient AFEMs funded by the Austrian Science Fund (FWF), under grant PAT3699424. Since September 2025, due to my position change, FWF has agreed that Dirk Praetorius becomes the new PI, allowing our work and collaboration to continue.

Paula Hilbert: Geometric multigrid method with hp-robust contraction (Supervisors: A. Miraçi, D. Praetorius), Diploma thesis, Institute of Analysis and Scientific Computing, TU Wien, 2025, Examination: 14.01.2025. [PDF]