Preprints
S. Lanthaler, F. Weber. Global existence of weak solutions to a two-phase diffuse interface model of ferrofluid dynamics. preprint
T. Rohner, F. Weber. Sufficient Conditions for the Energy Balance for the Stochastic Incompressible Euler Equations with Additive Noise in two Space Dimensions preprint
M. Hirsch, F. Weber, Y. Yue. The zero inertial limit for the Q-tensor model of liquid crystals: Analysis and numerics. preprint (accepted for publication in M2AN)
J. Elafandi, F. Weber. Finite element analysis of a nematic liquid crystal Landau-de Gennes model with quartic elastic terms. preprint
S. Mishra, D. Ochsner, A. M. Ruf, F. Weber. Well-posedness of Bayesian inverse problems for hyperbolic conservation laws. preprint
M. Hirsch, F. Weber. A Convergent Finite Element Scheme for the Q-Tensor Model of Liquid Crystals Subjected to an Electric Field. preprint
F, Weber. A convergent numerical scheme for a model of liquid crystal dynamics subjected to an electric field. preprint code
F. Weber. Robust finite difference schemes for a nonlinear variational wave equation modeling liquid crystals, preprint
Publications
F. Weber, Y. Yue. On the Convergence of an IEQ-based first-order Numerical Scheme for the Beris-Edwards System, ESAIM: Mathematical Modelling and Numerical Analysis, 57 (2023), no. 6, 3275 - 3302.
U. S. Fjordholm, S. Mishra, F. Weber. On the vanishing viscosity limit of statistical solutions of the incompressible Navier-Stokes equations, SIAM J. Math. Anal., 56 (2024), no 4, 5099-5143.
S. Lanthaler, S. Mishra, F. Weber. On the well-posedness of Bayesian inversion for PDEs with ill-posed forward problems. Inverse Problems 38 (2022) journal
V. M. Gudibanda, F. Weber, Y. Yue. Convergence analysis of a fully discrete energy-stable numerical scheme for the Q-tensor flow of liquid crystals. SIAM J. Numer. Anal. 60 (2022), no. 4, journal, code
U. S. Fjordholm, K. Lye, S. Mishra, F. Weber. Statistical solutions of hyperbolic systems of conservation laws: numerical approximation. codes by Kjetil Lye. Mathematical Models and Methods in Applied Sciences (2020) 30:03, 539-609
J. Bedrossian, M. Coti Zelati, S. Punshon-Smith, F. Weber. Sufficient conditions for dual cascade flux laws in the stochastic 2d Navier-Stokes equations. Arch Rational Mech Anal 237, 103–145 (2020).
R. H. Nochetto, K. Trivisa, F. Weber. On the Dynamics of Ferrofluids: Global Weak Solutions to the Rosensweig System and Rigorous Convergence to Equilibrium. SIAM J. Math. Anal., 51 (2019), no 6, 4245–4286 .
J. Bedrossian, M. Coti Zelati, S. Punshon-Smith, F. Weber. A sufficient condition for the Kolmogorov 4/5 law for stationary martingale solutions to the 3D Navier-Stokes equations. Communications in Mathematical Physics 367 (2019), 1045–1075.
K. Trivisa, F. Weber. Analysis and simulations on a model for the evolution of tumors under the influence of nutrient and drug application. SIAM J. Numer. Anal. 56 (2018), no. 1, 542–569. matlab codes MR3765908
U. Koley, N. H. Risebro, Ch. Schwab, F. Weber. Multilevel Monte Carlo for Random Degenerate Scalar Convection Diffusion Equation. J. Hyper. Differential Equations 14 (2017), no. 415. matlab scripts MR3703015
F. Weber. Convergence rates of finite difference schemes for the linear advection and wave equation with rough coefficient. IMA Journal of Numerical Analysis. 37 (2017), no. 3, 1586-1634. MR3671506
K. Trivisa, F. Weber. A convergent explicit finite difference scheme for a mechanical model for tumor growth. ESAIM: Mathematical Modelling and Numerical Analysis, 51 (2017), no. 1, 35-62. MR3601000
N. H. Risebro, Ch. Schwab, F. Weber. Multilevel Monte Carlo front-tracking for random scalar conservation laws. BIT Numerical Mathematics 56 (2015), no. 1, pp. 263-292. MR3486461
G. M. Coclite, S. Mishra, N. H. Risebro, F. Weber. Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media. Comput. Geosci. 18 (2014), no. 5, 637-659. MR3258564
T. K. Karper, F. Weber. A new angular momentum method for computing wave maps into spheres. SIAM J. Numer. Anal. 52 (2014), no. 4, 2073-2091. MR3249366
N. H. Risebro, F. Weber. A note on front tracking for the Keyfitz-Kranzer system. J. Math. Anal. Appl. 407 (2013), no. 2, 190-199. MR3071091
T. Mütze, F. Weber. Construction of 2-factors in the middle layer of the discrete cube. J. Combin. Theory Ser. A 119 (2012), no. 8, 1832-1855. MR2946389
Conference Proceedings
F. Weber. A constraint preserving finite difference method for the damped wave map equation to the sphere. Hypberbolic Problems: Theory, Numerics and Applications. Proceedings of Hyp2016, Vol. 2, 643-654, 2018.
N. H. Risebro, F. Weber. Burgers' equation with a filtered velocity. Hypberbolic Problems: Theory, Numerics and Applications. Proceedings of Hyp2012, Vol. 8, 1031 -1038, 2014. Link to conference proceedings MR3525461