41 Publikationen

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  • [41]
    2023 | Preprint | Veröffentlicht | PUB-ID: 2987708
    Banas, Lubomir, Ferrari, Giorgio, and Randrianasolo, Tsiry Avisoa. “Numerical approximation of Dynkin games with asymmetric information”. (2023).
    PUB | DOI
     
  • [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 OA
    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 OA
    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 OA
    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 OA
    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 OA
    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
     

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