41 Publikationen

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  • [41]
    2023 | Preprint | Veröffentlicht | PUB-ID: 2987708
    Banas, L., Ferrari, G., and Randrianasolo, T. A. (2023). Numerical approximation of Dynkin games with asymmetric information.
    PUB | DOI
     
  • [40]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2982775
    Banas, L., Gess, B., and Vieth, C. (2023). Numerical approximation of singular-degenerate parabolic stochastic partial differential equations. IMA Journal of Numerical Analysis :drad061.
    PUB | DOI | WoS
     
  • [39]
    2023 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2979246
    Banas, L., and Vieth, C. (2023). Robust a posteriori estimates for the stochastic Cahn-Hilliard equation. Mathematics of Computation.
    PUB | DOI | WoS
     
  • [38]
    2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978300
    Banas, L., and Ondrejat, M. (2023). Numerical approximation of probabilistically weak and strong solutions of the stochastic total variation flow. Mathematical Modelling and Numerical Analysis (ESAIM: M2AN) 57, 785-815.
    PUB | DOI | WoS
     
  • [37]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2964034 OA
    Banas, L., Dawid, H., Randrianasolo, T. A., Storn, J., and Wen, X. (2022). Numerical approximation of a system of Hamilton-Jacobi-Bellman equations arising in innovation dynamics. Journal of Scientific Computing 92:54.
    PUB | PDF | DOI | WoS
     
  • [36]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2960722 OA
    Banas, L., Yang, H., and Zhu, R. (2022). Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise. Potential Analysis 59, pages497–518.
    PUB | PDF | DOI | WoS
     
  • [35]
    2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2984062
    Banas, L., and Wilke, A. (2022). A Posteriori Estimates for the Stochastic Total Variation Flow. SIAM Journal on Numerical Analysis 60, 2657-2680.
    PUB | DOI | WoS
     
  • [34]
    2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2965241
    Banas, L., Röckner, M., and Wilke, A. (2022). Correction to: Convergent numerical approximation of the stochastic total variation flow (vol 9, pg 437, 2021). Stochastics and Partial Differential Equations : Analysis and Computations .
    PUB | DOI | WoS
     
  • [33]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2952722 OA
    Antonopoulou, D., Banas, L., Nurnberg, R., and Prohl, A. (2021). Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit. Numerische Mathematik 147, 505-551.
    PUB | PDF | DOI | WoS
     
  • [32]
    2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2960438
    Banas, L., Lasarzik, R., and Prohl, A. (2021). Numerical analysis for nematic electrolytes. IMA Journal of Numerical Analysis 41, 2186-2254.
    PUB | DOI | WoS
     
  • [31]
    2021 | Preprint | Veröffentlicht | PUB-ID: 2939728
    Banas, L., Ferrari, G., and Randrianasolo, T. A. (2021). Numerical approximation of the value of a stochastic differential game with asymmetric information. arXiv:1912.13248.
    PUB | DOI | WoS | arXiv
     
  • [30]
    2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942720 OA
    Banas, L., Röckner, M., and Wilke, A. (2020). Convergent numerical approximation of the stochastic total variation flow. Stochastics and Partial Differential Equations : Analysis and Computations 9, 437-471.
    PUB | PDF | DOI | WoS
     
  • [29]
    2019 | Diskussionspapier | Veröffentlicht | PUB-ID: 2939974 OA
    Banas, L., Ferrari, G., and Randrianasolo, T. A. (2019). Numerical Appromixation of the Value of a Stochastic Differential Game with Asymmetric Information. Center for Mathematical Economics Working Papers, 630, Bielefeld: Center for Mathematical Economics.
    PUB | PDF
     
  • [28]
    2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914637
    Banas, L., and Mahato, H. S. (2017). Homogenization of evolutionary Stokes–Cahn–Hilliard equations for two-phase porous media flow. Asymptotic Analysis 105, 77-95.
    PUB | DOI | WoS
     
  • [27]
    2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914606
    Banas, L., and Nürnberg, R. (2016). Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow. ESAIM: Mathematical Modelling and Numerical Analysis 51, 1089-1117.
    PUB | DOI | WoS
     
  • [26]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2901303
    Banas, L., Page, M., and Praetorius, D. (2015). A convergent linear finite element scheme for the Maxwell-Landau-Lifshitz-Gilbert equations. Electronic Transactions on Numerical Analysis 44, 250-270.
    PUB | WoS
     
  • [25]
    2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2786402
    Banas, L., Brzezniak, Z., Neklyudov, M., Ondrejat, M., and Prohl, A. (2015). Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere. Czechoslovak Mathematical Journal 65, 617-657.
    PUB | DOI | WoS
     
  • [24]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914607
    Banas, L., Brzeźniak, Z., Neklyudov, M., and Prohl, A. (2014). A convergent finite-element-based discretization of the stochastic Landau-Lifshitz-Gilbert equation. IMA Journal of Numerical Analysis 34, 502-549.
    PUB | DOI | WoS
     
  • [23]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2699840
    Banas, L., Klein, M., and Prohl, A. (2014). Control of Interface Evolution in Multiphase Fluid Flows. SIAM Journal on Control and Optimization 52, 2284-2318.
    PUB | DOI | WoS
     
  • [22]
    2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2705611
    Banas, L., Page, M., Praetorius, D., and Rochat, J. (2014). A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction. IMA Journal of Numerical Analysis 34, 1361-1385.
    PUB | DOI | WoS
     
  • [21]
    2014 | Monographie | Veröffentlicht | PUB-ID: 2914608
    Banas, L., Brzeźniak, Z., Neklyudov, M., and Prohl, A. (2014). Stochastic ferromagnetism : analysis and numerics. De Gruyter Studies in Mathematics, 58, Berlin: De Gruyter.
    PUB
     
  • [20]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914609
    Nürnberg, R., Novick-Cohen, A., and Banas, L. (2013). The degenerate and non-degenerate deep quench obstacle problem: A numerical comparison. Networks and Heterogeneous Media 8, 37-64.
    PUB | DOI | WoS
     
  • [19]
    2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914610
    Banas, L., Brzeźniak, Z., and Prohl, A. (2013). Computational Studies for the Stochastic Landau-Lifshitz-Gilbert Equation. SIAM Journal on Scientific Computing 35, B62-B81.
    PUB | DOI | WoS
     
  • [18]
    2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914611
    Banas, L., Prohl, A., and Slodička, M. (2012). Numerical scheme for augmented Landau–Lifshitz equation in heat assisted recording. Journal of Computational and Applied Mathematics 236, 4775-4787.
    PUB | DOI | WoS
     
  • [17]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914615
    Banas, L., Prohl, A., and Schätzle, R. (2010). Finite element approximations of harmonic map heat flows and wave maps into spheres of nonconstant radii. Numerische Mathematik 115, 395-432.
    PUB | DOI | WoS
     
  • [16]
    2010 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914613
    Banas, L., and Prohl, A. (2010). Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations. Mathematics of Computation 79, 1957-1999.
    PUB | DOI | WoS
     
  • [15]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914614
    Banas, L. (2009). An efficient multigrid preconditioner for Maxwell’s equations in micromagnetism. Mathematics and Computers in Simulation 80, 1657-1663.
    PUB | DOI | WoS
     
  • [14]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914619
    Banas, L., and Nürnberg, R. (2009). Phase field computations for surface diffusion and void electromigration in ${\mathbb{R}^3}$. Computing and Visualization in Science 12, 319-327.
    PUB | DOI
     
  • [13]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914616
    Banas, L., and Nürnberg, R. (2009). A posteriori estimates for the Cahn–Hilliard equation with obstacle free energy. ESAIM: Mathematical Modelling and Numerical Analysis 43, 1003-1026.
    PUB | DOI | WoS
     
  • [12]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914618
    Banas, L., and Nürnberg, R. (2009). A multigrid method for the Cahn–Hilliard equation with obstacle potential. Applied Mathematics and Computation 213, 290-303.
    PUB | DOI | WoS
     
  • [11]
    2009 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914620
    Banas, L., Prohl, A., and Slodička, M. (2009). Modeling of Thermally Assisted Magnetodynamics. SIAM Journal on Numerical Analysis 47, 551-574.
    PUB | DOI | WoS
     
  • [10]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914641
    Banas, L., Bartels, S., and Prohl, A. (2008). A Convergent Implicit Finite Element Discretization of the Maxwell–Landau–Lifshitz–Gilbert Equation. SIAM Journal on Numerical Analysis 46, 1399-1422.
    PUB | DOI | WoS
     
  • [9]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914621
    Banas, L., and Nürnberg, R. (2008). Finite Element Approximation of a Three Dimensional Phase Field Model for Void Electromigration. Journal of Scientific Computing 37, 202-232.
    PUB | DOI | WoS
     
  • [8]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914623
    Banas, L. (2008). Adaptive techniques for Landau–Lifshitz–Gilbert equation with magnetostriction. Journal of Computational and Applied Mathematics 215, 304-310.
    PUB | DOI | WoS
     
  • [7]
    2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914622
    Banas, L., and Nürnberg, R. (2008). Adaptive finite element methods for Cahn–Hilliard equations. Journal of Computational and Applied Mathematics 218, 2-11.
    PUB | DOI | WoS
     
  • [6]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914645
    Banas, L., and Slodička, M. (2005). Space discretization for the Landau–Lifshitz–Gilbert equation with magnetostriction. Computer Methods in Applied Mechanics and Engineering 194, 467-477.
    PUB | DOI | WoS
     
  • [5]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914643
    Banas, L., and Slodička, M. (2005). Error estimates for Landau–Lifshitz–Gilbert equation with magnetostriction. Applied Numerical Mathematics 56, 1019-1039.
    PUB | DOI | WoS
     
  • [4]
    2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2914647
    Banas, L. (2005). “Numerical methods for the Landau-Lifshitz-Gilbert equation” in Numerical analysis and its applications : third international conference ; revised selected papers. NAA 2004, Rousse, Bulgaria, June 29 - July 3, 2004, Li, Z., Vulkov, L., and Wasniewski, J. eds. Lecture Notes in Computer Science, vol. 3401, (Berlin: Springer), 158-165.
    PUB | WoS
     
  • [3]
    2005 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914644
    Banas, L. (2005). A numerical method for the Landau-Lifshitz equation with magnetostriction. Mathematical Methods in the Applied Sciences 28, 1939-1954.
    PUB | DOI | WoS
     
  • [2]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914650
    Slodička, M., and Banas, L. (2004). A numerical scheme for a Maxwell–Landau–Lifshitz–Gilbert system. Applied Mathematics and Computation 158, 79-99.
    PUB | DOI | WoS
     
  • [1]
    2004 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2914653
    Banas, L. (2004). Solution of convection-diffusion equation by the method of characteristics. Journal of Computational and Applied Mathematics 168, 31-39.
    PUB | DOI | WoS
     

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