PUB - Publikationen an der Universität Bielefeld

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• [44]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3001624

  Banas, L., Gess, B., and Neuss, M. (2025). Stochastic partial differential equations arising in self-organized criticality. Annals of Applied Probability 35, 481-522.

  PUB | DOI | WoS
   
• [43]
  

  2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3000691

  Banas, L., Ferrari, G., and Randrianasolo, T. A. (2025). Numerical Approximation of Dynkin Games with Asymmetric Information. SIAM Journal on Control and Optimization 63, 256-291.

  PUB | DOI | WoS | arXiv
   
• [42]
  

  2024 | Preprint | Angenommen | PUB-ID: 2992599

  Banas, L., and Herr, S. (Accepted). Numerical approximation of bi-harmonic wave maps into spheres. SIAM J. Numer. Anal.

  PUB | arXiv
   
• [41]
  

  2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988848

  Banas, L., and Mukam, J. D. (2024). 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.

  PUB | DOI | WoS
   
• [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

  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

  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

  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

  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

  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: 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
   
• [22]
  

  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
   
• [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