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A multilevel algebraic error estimator and the corresponding iterative solver with $p$-robust behavior

 Ani Miraçi , Jan Papež , Martin Vohralík
SIAM Journal on Numerical Analysis, 2020, 58 (5), pp.2856-2884. ⟨10.1137/19M1275929⟩
Article dans une revue hal-02070981v5
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Adaptive solution of linear systems of equations based on a posteriori error estimators

 Ani Anciaux-Sedrakian , Laura Grigori , Zakariae Jorti , Jan Papež , Soleiman Yousef
Numerical Algorithms, 2020, 84, pp.331-364. ⟨10.1007/s11075-019-00757-z⟩
Article dans une revue hal-02425391v1
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Sharp algebraic and total a posteriori error bounds for $h$ and $p$ finite elements via a multilevel approach. Recovering mass balance in any situation

 Jan Papež , Ulrich Rüde , Martin Vohralík , Barbara I Wohlmuth
Computer Methods in Applied Mechanics and Engineering, 2020, 371, pp.113243. ⟨10.1016/j.cma.2020.113243⟩
Article dans une revue hal-01662944v5
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Contractive local adaptive smoothing based on Dörfler's marking in a-posteriori-steered $p$-robust multigrid solvers

 Ani Miraçi , Jan Papež , Martin Vohralík
Computational Methods in Applied Mathematics, 2021, 21 (2), pp.445-468. ⟨10.1515/cmam-2020-0024⟩
Article dans une revue hal-02498247v3
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Inexpensive guaranteed and efficient upper bounds on the algebraic error in finite element discretizations

 Jan Papež , Martin Vohralík
Numerical Algorithms, 2022, 89, pp.371-407. ⟨10.1007/s11075-021-01118-5⟩
Article dans une revue hal-02422851v4
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Estimating and localizing the algebraic and total numerical errors using flux reconstructions

 Jan Papež , Zdeněk Strakoš , Martin Vohralík
Numerische Mathematik, 2018, 138 (3), pp.681-721. ⟨10.1007/s00211-017-0915-5⟩
Article dans une revue hal-01312430v2
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Accelerating linear system solvers for time-domain component separation of cosmic microwave background data

 Jan Papež , Laura Grigori , Radek Stompor
Astronomy and Astrophysics - A&A, 2020, 638, pp.A73. ⟨10.1051/0004-6361/202037687⟩
Article dans une revue hal-02903839v1
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A-posteriori-steered $p$-robust multigrid with optimal step-sizes and adaptive number of smoothing steps

 Ani Miraçi , Jan Papež , Martin Vohralík
SIAM Journal on Scientific Computing, 2021, Special Section: 2020 Copper Mountain Conference, 43 (5), pp.S117-S145. ⟨10.1137/20M1349503⟩
Article dans une revue hal-02494538v5
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