41 Publikationen

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  • [41]
    2023 | Preprint | Veröffentlicht | PUB-ID: 2987708
    L. Banas, G. Ferrari, and T. A. Randrianasolo, “Numerical approximation of Dynkin games with asymmetric information”, 2023.
    PUB | DOI
     
  • [40]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982775
    L. Banas, B. Gess, and C. Vieth, “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
    L. Banas, and C. Vieth, “Robust a posteriori estimates for the stochastic Cahn-Hilliard equation”, Mathematics of Computation, 2023.
    PUB | DOI | WoS
     
  • [38]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978300
    L. Banas, and M. Ondrejat, “Numerical approximation of probabilistically weak and strong solutions of the stochastic total variation flow”, Mathematical Modelling and Numerical Analysis (ESAIM: M2AN) , 2023, 57, 785-815.
    PUB | DOI | WoS
     
  • [37]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964034 OA
    L. Banas, H. Dawid, T. A. Randrianasolo, J. Storn, and X. Wen, “Numerical approximation of a system of Hamilton-Jacobi-Bellman equations arising in innovation dynamics”, Journal of Scientific Computing, 2022, 92, : 54.
    PUB | PDF | DOI | WoS
     
  • [36]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2960722 OA
    L. Banas, H. Yang, and R. Zhu, “Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise”, Potential Analysis , 2022, 59, pages497–518.
    PUB | PDF | DOI | WoS
     
  • [35]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984062
    L. Banas, and A. Wilke, “A Posteriori Estimates for the Stochastic Total Variation Flow”, SIAM Journal on Numerical Analysis , 2022, 60, 2657-2680.
    PUB | DOI | WoS
     
  • [34]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2965241
    L. Banas, M. Röckner, and A. Wilke, “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
    D. Antonopoulou, L. Banas, R. Nurnberg, and A. Prohl, “Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit”, Numerische Mathematik , 2021, 147, 505-551.
    PUB | PDF | DOI | WoS
     
  • [32]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960438
    L. Banas, R. Lasarzik, and A. Prohl, “Numerical analysis for nematic electrolytes”, IMA Journal of Numerical Analysis , 2021, 41, 2186-2254.
    PUB | DOI | WoS
     
  • [31]
    2021 | Preprint | Veröffentlicht | PUB-ID: 2939728
    L. Banas, G. Ferrari, and T. A. Randrianasolo, “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
    L. Banas, M. Röckner, and A. Wilke, “Convergent numerical approximation of the stochastic total variation flow”, Stochastics and Partial Differential Equations : Analysis and Computations , 2020, 9, 437-471.
    PUB | PDF | DOI | WoS
     
  • [29]
    2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2939974 OA
    L. Banas, G. Ferrari, and T. A. Randrianasolo, Numerical Appromixation of the Value of a Stochastic Differential Game with Asymmetric Information, Center For Mathematical Economics, Bielefeld, 2019.
    PUB | PDF
     
  • [28]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914637
    L. Banas, and H. S. Mahato, “Homogenization of evolutionary Stokes–Cahn–Hilliard equations for two-phase porous media flow”, Asymptotic Analysis, 2017, 105, 77-95.
    PUB | DOI | WoS
     
  • [27]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914606
    L. Banas, and R. Nürnberg, “Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow”, ESAIM: Mathematical Modelling and Numerical Analysis, 2016, 51, 1089-1117.
    PUB | DOI | WoS
     
  • [26]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901303
    L. Banas, M. Page, and D. Praetorius, “A convergent linear finite element scheme for the Maxwell-Landau-Lifshitz-Gilbert equations”, Electronic Transactions on Numerical Analysis, 2015, 44, 250-270.
    PUB | WoS
     
  • [25]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2786402
    L. Banas, Z. Brzezniak, M. Neklyudov, M. Ondrejat, and A. Prohl, “Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere”, Czechoslovak Mathematical Journal, 2015, 65, 617-657.
    PUB | DOI | WoS
     
  • [24]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914607
    L. Banas, Z. Brzeźniak, M. Neklyudov, and A. Prohl, “A convergent finite-element-based discretization of the stochastic Landau-Lifshitz-Gilbert equation”, IMA Journal of Numerical Analysis, 2014, 34, 502-549.
    PUB | DOI | WoS
     
  • [23]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2699840
    L. Banas, M. Klein, and A. Prohl, “Control of Interface Evolution in Multiphase Fluid Flows”, SIAM Journal on Control and Optimization, 2014, 52, 2284-2318.
    PUB | DOI | WoS
     
  • [22]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2705611
    L. Banas, M. Page, D. Praetorius, and J. Rochat, “A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction”, IMA Journal of Numerical Analysis, 2014, 34, 1361-1385.
    PUB | DOI | WoS
     
  • [21]
    2014 | Monographie | Veröffentlicht | PUB-ID: 2914608
    L. Banas, Z. Brzeźniak, M. Neklyudov, and A. Prohl, Stochastic ferromagnetism : analysis and numerics, De Gruyter, Berlin, 2014.
    PUB
     
  • [20]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914609
    R. Nürnberg, A. Novick-Cohen, and L. Banas, “The degenerate and non-degenerate deep quench obstacle problem: A numerical comparison”, Networks and Heterogeneous Media, 2013, 8, 37-64.
    PUB | DOI | WoS
     
  • [19]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914610
    L. Banas, Z. Brzeźniak, and A. Prohl, “Computational Studies for the Stochastic Landau-Lifshitz-Gilbert Equation”, SIAM Journal on Scientific Computing, 2013, 35, B62-B81.
    PUB | DOI | WoS
     
  • [18]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914611
    L. Banas, A. Prohl, and M. Slodička, “Numerical scheme for augmented Landau–Lifshitz equation in heat assisted recording”, Journal of Computational and Applied Mathematics, 2012, 236, 4775-4787.
    PUB | DOI | WoS
     
  • [17]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914615
    L. Banas, A. Prohl, and R. Schätzle, “Finite element approximations of harmonic map heat flows and wave maps into spheres of nonconstant radii”, Numerische Mathematik, 2010, 115, 395-432.
    PUB | DOI | WoS
     
  • [16]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914613
    L. Banas, and A. Prohl, “Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations”, Mathematics of Computation, 2010, 79, 1957-1999.
    PUB | DOI | WoS
     
  • [15]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914614
    L. Banas, “An efficient multigrid preconditioner for Maxwell’s equations in micromagnetism”, Mathematics and Computers in Simulation, 2009, 80, 1657-1663.
    PUB | DOI | WoS
     
  • [14]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914619
    L. Banas, and R. Nürnberg, “Phase field computations for surface diffusion and void electromigration in ${\mathbb{R}^3}$”, Computing and Visualization in Science, 2009, 12, 319-327.
    PUB | DOI
     
  • [13]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914616
    L. Banas, and R. Nürnberg, “A posteriori estimates for the Cahn–Hilliard equation with obstacle free energy”, ESAIM: Mathematical Modelling and Numerical Analysis, 2009, 43, 1003-1026.
    PUB | DOI | WoS
     
  • [12]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914618
    L. Banas, and R. Nürnberg, “A multigrid method for the Cahn–Hilliard equation with obstacle potential”, Applied Mathematics and Computation, 2009, 213, 290-303.
    PUB | DOI | WoS
     
  • [11]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914620
    L. Banas, A. Prohl, and M. Slodička, “Modeling of Thermally Assisted Magnetodynamics”, SIAM Journal on Numerical Analysis, 2009, 47, 551-574.
    PUB | DOI | WoS
     
  • [10]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914641
    L. Banas, S. Bartels, and A. Prohl, “A Convergent Implicit Finite Element Discretization of the Maxwell–Landau–Lifshitz–Gilbert Equation”, SIAM Journal on Numerical Analysis, 2008, 46, 1399-1422.
    PUB | DOI | WoS
     
  • [9]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914621
    L. Banas, and R. Nürnberg, “Finite Element Approximation of a Three Dimensional Phase Field Model for Void Electromigration”, Journal of Scientific Computing, 2008, 37, 202-232.
    PUB | DOI | WoS
     
  • [8]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914623
    L. Banas, “Adaptive techniques for Landau–Lifshitz–Gilbert equation with magnetostriction”, Journal of Computational and Applied Mathematics, 2008, 215, 304-310.
    PUB | DOI | WoS
     
  • [7]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914622
    L. Banas, and R. Nürnberg, “Adaptive finite element methods for Cahn–Hilliard equations”, Journal of Computational and Applied Mathematics, 2008, 218, 2-11.
    PUB | DOI | WoS
     
  • [6]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914645
    L. Banas, and M. Slodička, “Space discretization for the Landau–Lifshitz–Gilbert equation with magnetostriction”, Computer Methods in Applied Mechanics and Engineering, 2005, 194, 467-477.
    PUB | DOI | WoS
     
  • [5]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914643
    L. Banas, and M. Slodička, “Error estimates for Landau–Lifshitz–Gilbert equation with magnetostriction”, Applied Numerical Mathematics, 2005, 56, 1019-1039.
    PUB | DOI | WoS
     
  • [4]
    2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2914647
    L. Banas, in Numerical analysis and its applications : third international conference ; revised selected papers. NAA 2004, Rousse, Bulgaria, June 29 - July 3, 2004 (Eds.: Z. Li, L. Vulkov, J. Wasniewski), Springer, Berlin, 2005, p. 158-165.
    PUB | WoS
     
  • [3]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914644
    L. Banas, “A numerical method for the Landau-Lifshitz equation with magnetostriction”, Mathematical Methods in the Applied Sciences, 2005, 28, 1939-1954.
    PUB | DOI | WoS
     
  • [2]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914650
    M. Slodička, and L. Banas, “A numerical scheme for a Maxwell–Landau–Lifshitz–Gilbert system”, Applied Mathematics and Computation, 2004, 158, 79-99.
    PUB | DOI | WoS
     
  • [1]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914653
    L. Banas, “Solution of convection-diffusion equation by the method of characteristics”, Journal of Computational and Applied Mathematics, 2004, 168, 31-39.
    PUB | DOI | WoS
     

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