PUB - Publikationen an der Universität Bielefeld

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• [44]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3001624

  Banas, Lubomir, Gess, Benjamin, and Neuss, Marius. “Stochastic partial differential equations arising in self-organized criticality”. Annals of Applied Probability 35.1 (2025): 481-522.

  PUB | DOI | WoS
   
• [43]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3000691

  Banas, Lubomir, Ferrari, Giorgio, and Randrianasolo, Tsiry Avisoa. “Numerical Approximation of Dynkin Games with Asymmetric Information”. SIAM Journal on Control and Optimization 63.1 (2025): 256-291.

  PUB | DOI | WoS | arXiv
   
• [42]
  

  2024 | Preprint | Angenommen | PUB-ID: 2992599

  Banas, Lubomir, and Herr, Sebastian. “Numerical approximation of bi-harmonic wave maps into spheres”. SIAM J. Numer. Anal. (Accepted).

  PUB | arXiv
   
• [41]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988848

  Banas, Lubomir, and Mukam, Jean Daniel. “Improved estimates for the sharp interface limit of the stochastic Cahn–Hilliard equation with space-time white noise”. Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications (2024).

  PUB | DOI | WoS
   
• [40]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982775

  Banas, Lubomir, Gess, Benjamin, and Vieth, Christian. “Numerical approximation of singular-degenerate parabolic stochastic partial differential equations”. IMA Journal of Numerical Analysis (2023): drad061.

  PUB | DOI | WoS
   
• [39]
  

  2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2979246

  Banas, Lubomir, and Vieth, Christian. “Robust a posteriori estimates for the stochastic Cahn-Hilliard equation”. Mathematics of Computation (2023).

  PUB | DOI | WoS
   
• [38]
  

  2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978300

  Banas, Lubomir, and Ondrejat, Martin. “Numerical approximation of probabilistically weak and strong solutions of the stochastic total variation flow”. Mathematical Modelling and Numerical Analysis (ESAIM: M2AN) 57.2 (2023): 785-815.

  PUB | DOI | WoS
   
• [37]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964034

  Banas, Lubomir, Dawid, Herbert, Randrianasolo, Tsiry Avisoa, Storn, Johannes, and Wen, Xingang. “Numerical approximation of a system of Hamilton-Jacobi-Bellman equations arising in innovation dynamics”. Journal of Scientific Computing 92 (2022): 54.

  PUB | PDF | DOI | WoS
   
• [36]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2960722

  Banas, Lubomir, Yang, Huanyu, and Zhu, Rongchan. “Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise”. Potential Analysis 59 (2022): pages497–518.

  PUB | PDF | DOI | WoS
   
• [35]
  

  2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984062

  Banas, Lubomir, and Wilke, Andre. “A Posteriori Estimates for the Stochastic Total Variation Flow”. SIAM Journal on Numerical Analysis 60.5 (2022): 2657-2680.

  PUB | DOI | WoS
   
• [34]
  

  2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2965241

  Banas, Lubomir, Röckner, Michael, and Wilke, Andre. “Correction to: Convergent numerical approximation of the stochastic total variation flow (vol 9, pg 437, 2021)”. Stochastics and Partial Differential Equations : Analysis and Computations (2022).

  PUB | DOI | WoS
   
• [33]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2952722

  Antonopoulou, Dimitra, Banas, Lubomir, Nurnberg, Robert, and Prohl, Andreas. “Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit”. Numerische Mathematik 147.3 (2021): 505-551.

  PUB | PDF | DOI | WoS
   
• [32]
  

  2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960438

  Banas, Lubomir, Lasarzik, Robert, and Prohl, Andreas. “Numerical analysis for nematic electrolytes”. IMA Journal of Numerical Analysis 41.3 (2021): 2186-2254.

  PUB | DOI | WoS
   
• [31]
  

  2021 | Preprint | Veröffentlicht | PUB-ID: 2939728

  Banas, Lubomir, Ferrari, Giorgio, and Randrianasolo, Tsiry Avisoa. “Numerical approximation of the value of a stochastic differential game with asymmetric information”. arXiv:1912.13248 (2021).

  PUB | DOI | WoS | arXiv
   
• [30]
  

  2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942720

  Banas, Lubomir, Röckner, Michael, and Wilke, Andre. “Convergent numerical approximation of the stochastic total variation flow”. Stochastics and Partial Differential Equations : Analysis and Computations 9.2 (2020): 437-471.

  PUB | PDF | DOI | WoS
   
• [29]
  

  2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2939974

  Banas, Lubomir, Ferrari, Giorgio, and Randrianasolo, Tsiry Avisoa. Numerical Appromixation of the Value of a Stochastic Differential Game with Asymmetric Information. Bielefeld: Center for Mathematical Economics, 2019. Center for Mathematical Economics Working Papers. 630.

  PUB | PDF
   
• [28]
  

  2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914637

  Banas, Lubomir, and Mahato, Hari Shankar. “Homogenization of evolutionary Stokes–Cahn–Hilliard equations for two-phase porous media flow”. Asymptotic Analysis 105.1-2 (2017): 77-95.

  PUB | DOI | WoS
   
• [27]
  

  2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914606

  Banas, Lubomir, and Nürnberg, Robert. “Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow”. ESAIM: Mathematical Modelling and Numerical Analysis 51.3 (2016): 1089-1117.

  PUB | DOI | WoS
   
• [26]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901303

  Banas, Lubomir, Page, M., and Praetorius, D. “A convergent linear finite element scheme for the Maxwell-Landau-Lifshitz-Gilbert equations”. Electronic Transactions on Numerical Analysis 44 (2015): 250-270.

  PUB | WoS
   
• [25]
  

  2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2786402

  Banas, Lubomir, Brzezniak, Zdzislaw, Neklyudov, Mikhail, Ondrejat, Martin, and Prohl, Andreas. “Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere”. Czechoslovak Mathematical Journal 65.3 (2015): 617-657.

  PUB | DOI | WoS
   
• [24]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914607

  Banas, Lubomir, Brzeźniak, Zdzislaw, Neklyudov, Mikhail, and Prohl, Andreas. “A convergent finite-element-based discretization of the stochastic Landau-Lifshitz-Gilbert equation”. IMA Journal of Numerical Analysis 34.2 (2014): 502-549.

  PUB | DOI | WoS
   
• [23]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2699840

  Banas, Lubomir, Klein, Markus, and Prohl, Andreas. “Control of Interface Evolution in Multiphase Fluid Flows”. SIAM Journal on Control and Optimization 52.4 (2014): 2284-2318.

  PUB | DOI | WoS
   
• [22]
  

  2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2705611

  Banas, Lubomir, Page, Marcus, Praetorius, Dirk, and Rochat, Jonathan. “A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction”. IMA Journal of Numerical Analysis 34.4 (2014): 1361-1385.

  PUB | DOI | WoS
   
• [21]
  

  2014 | Monographie | Veröffentlicht | PUB-ID: 2914608

  Banas, Lubomir, Brzeźniak, Zdzislaw, Neklyudov, Mikhail, and Prohl, Andreas. Stochastic ferromagnetism : analysis and numerics. Berlin: De Gruyter, 2014. De Gruyter Studies in Mathematics. 58.

  PUB
   
• [20]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914609

  Nürnberg, Robert, Novick-Cohen, Amy, and Banas, Lubomir. “The degenerate and non-degenerate deep quench obstacle problem: A numerical comparison”. Networks and Heterogeneous Media 8.1 (2013): 37-64.

  PUB | DOI | WoS
   
• [19]
  

  2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914610

  Banas, Lubomir, Brzeźniak, Zdzislaw, and Prohl, Andreas. “Computational Studies for the Stochastic Landau-Lifshitz-Gilbert Equation”. SIAM Journal on Scientific Computing 35.1 (2013): B62-B81.

  PUB | DOI | WoS
   
• [18]
  

  2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914611

  Banas, Lubomir, Prohl, Andreas, and Slodička, Marián. “Numerical scheme for augmented Landau–Lifshitz equation in heat assisted recording”. Journal of Computational and Applied Mathematics 236.18 (2012): 4775-4787.

  PUB | DOI | WoS
   
• [17]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914615

  Banas, Lubomir, Prohl, Andreas, and Schätzle, Reiner. “Finite element approximations of harmonic map heat flows and wave maps into spheres of nonconstant radii”. Numerische Mathematik 115.3 (2010): 395-432.

  PUB | DOI | WoS
   
• [16]
  

  2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914613

  Banas, Lubomir, and Prohl, Andreas. “Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations”. Mathematics of Computation 79.272 (2010): 1957-1999.

  PUB | DOI | WoS
   
• [15]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914614

  Banas, Lubomir. “An efficient multigrid preconditioner for Maxwell’s equations in micromagnetism”. Mathematics and Computers in Simulation 80.8 (2009): 1657-1663.

  PUB | DOI | WoS
   
• [14]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914619

  Banas, Lubomir, and Nürnberg, Robert. “Phase field computations for surface diffusion and void electromigration in ${\mathbb{R}^3}$”. Computing and Visualization in Science 12.7 (2009): 319-327.

  PUB | DOI
   
• [13]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914616

  Banas, Lubomir, and Nürnberg, Robert. “A posteriori estimates for the Cahn–Hilliard equation with obstacle free energy”. ESAIM: Mathematical Modelling and Numerical Analysis 43.5 (2009): 1003-1026.

  PUB | DOI | WoS
   
• [12]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914618

  Banas, Lubomir, and Nürnberg, Robert. “A multigrid method for the Cahn–Hilliard equation with obstacle potential”. Applied Mathematics and Computation 213.2 (2009): 290-303.

  PUB | DOI | WoS
   
• [11]
  

  2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914620

  Banas, Lubomir, Prohl, Andreas, and Slodička, Marián. “Modeling of Thermally Assisted Magnetodynamics”. SIAM Journal on Numerical Analysis 47.1 (2009): 551-574.

  PUB | DOI | WoS
   
• [10]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914641

  Banas, Lubomir, Bartels, Sören, and Prohl, Andreas. “A Convergent Implicit Finite Element Discretization of the Maxwell–Landau–Lifshitz–Gilbert Equation”. SIAM Journal on Numerical Analysis 46.3 (2008): 1399-1422.

  PUB | DOI | WoS
   
• [9]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914621

  Banas, Lubomir, and Nürnberg, Robert. “Finite Element Approximation of a Three Dimensional Phase Field Model for Void Electromigration”. Journal of Scientific Computing 37.2 (2008): 202-232.

  PUB | DOI | WoS
   
• [8]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914623

  Banas, Lubomir. “Adaptive techniques for Landau–Lifshitz–Gilbert equation with magnetostriction”. Journal of Computational and Applied Mathematics 215.2 (2008): 304-310.

  PUB | DOI | WoS
   
• [7]
  

  2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914622

  Banas, Lubomir, and Nürnberg, Robert. “Adaptive finite element methods for Cahn–Hilliard equations”. Journal of Computational and Applied Mathematics 218.1 (2008): 2-11.

  PUB | DOI | WoS
   
• [6]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914645

  Banas, Lubomir, and Slodička, Marián. “Space discretization for the Landau–Lifshitz–Gilbert equation with magnetostriction”. Computer Methods in Applied Mechanics and Engineering 194.2-5 (2005): 467-477.

  PUB | DOI | WoS
   
• [5]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914643

  Banas, Lubomir, and Slodička, Marián. “Error estimates for Landau–Lifshitz–Gilbert equation with magnetostriction”. Applied Numerical Mathematics 56.8 (2005): 1019-1039.

  PUB | DOI | WoS
   
• [4]
  

  2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2914647

  Banas, Lubomir. “Numerical methods for the Landau-Lifshitz-Gilbert equation”. Numerical analysis and its applications : third international conference ; revised selected papers. NAA 2004, Rousse, Bulgaria, June 29 - July 3, 2004. Ed. Zhilin Li, Lubin Vulkov, and Jerzy Wasniewski. Berlin: Springer, 2005.Vol. 3401. Lecture Notes in Computer Science. 158-165.

  PUB | WoS
   
• [3]
  

  2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914644

  Banas, Lubomir. “A numerical method for the Landau-Lifshitz equation with magnetostriction”. Mathematical Methods in the Applied Sciences 28.16 (2005): 1939-1954.

  PUB | DOI | WoS
   
• [2]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914650

  Slodička, Marián, and Banas, Lubomir. “A numerical scheme for a Maxwell–Landau–Lifshitz–Gilbert system”. Applied Mathematics and Computation 158.1 (2004): 79-99.

  PUB | DOI | WoS
   
• [1]
  

  2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914653

  Banas, Lubomir. “Solution of convection-diffusion equation by the method of characteristics”. Journal of Computational and Applied Mathematics 168.1-2 (2004): 31-39.

  PUB | DOI | WoS