16 citations · 54 across the 17 of their papers we have counts for
18 papers
A Higher Order Discretization for the Stochastic Navier--Stokes equations with additive Noise
L. Banas, D. Breit, A. Chaudhary +1
We propose a new higher-order time discretization scheme for the stochastic Navier--Stokes equations with additive noise, where its velocity and pressure approximates converge at s…
Improved estimates for the sharp interface limit of the stochastic Cahn-Hilliard equation with space-time white noise
Ľubomír Baňas, Jean Daniel Mukam
We study the sharp interface limit of the stochastic Cahn-Hilliard equation with cubic double-well potential and additive space-time white noise where is an inte…
Correction to: Convergent numerical approximation of the stochastic total variation flow
Ľubomír Baňas, Michael Röckner, André Wilke
We correct two errors in our paper [4]. First error concerns the definition of the SVI solution, where a boundary term which arises due to the Dirichlet boundary condition, was not…
Convergent numerical approximation of the stochastic total variation flow with linear multiplicative noise: the higher dimensional case
Ľubomír Baňas, Michael Röckner, André Wilke
We consider fully discrete finite element approximation of the stochastic total variation flow equation (STVF) with linear multiplicative noise which was previously proposed in \ci…
Numerical approximation of probabilistically weak and strong solutions of the stochastic total variation flow
Ľubomír Baňas, Martin Ondreját
We propose a fully practical numerical scheme for the simulation of the stochastic total variation flow (STFV). The approximation is based on a stable time-implicit finite element…
Robust a posteriori estimates for the stochastic Cahn-Hilliard equation
Ľubomír Baňas, Christian Vieth
We derive a posteriori error estimates for a fully discrete finite element approximation of the stochastic Cahn-Hilliard equation. The a posteriori bound is obtained by a splitting…
A posteriori estimates for the stochastic total variation flow
Ľubomír Baňas, André Wilke
We derive a posteriori error estimates for a fully discrete time-implicit finite element approximation of the stochastic total variaton flow (STVF) with additive space time noise.…
Stochastic partial differential equations arising in self-organized criticality
Ľubomír Baňas, Benjamin Gess, Marius Neuß
We study scaling limits of the weakly driven Zhang and the Bak-Tang-Wiesenfeld (BTW) model for self-organized criticality. We show that the weakly driven Zhang model converges to a…
Numerical approximation of singular-degenerate parabolic stochastic PDEs
Ľubomír Baňas, Benjamin Gess, Christian Vieth
We study a general class of singular degenerate parabolic stochastic partial differential equations (SPDEs) which include, in particular, the stochastic porous medium equations and…
Numerical Analysis for Nematic Electrolytes
Ľubomír Baňas, Robert Lasarzik, Andreas Prohl
We consider a system of nonlinear PDEs modeling nematic electrolytes, and construct a dissipative solution with the help of its implementable, structure-inheriting space-time discr…
Numerical approximation of the value of a stochastic differential game with asymmetric information
Ľubomír Baňas, Giorgio Ferrari, Tsiry A. Randrianasolo
We consider a convexity constrained Hamilton-Jacobi-Bellman-type obstacle problem for the value function of a zero-sum differential game with asymmetric information. We propose a c…
Convergent numerical approximation of the stochastic total variation flow
Ľubomír Baňas, Michael Röckner, André Wilke
We study the stochastic total variation flow (STVF) equation with linear multiplicative noise. By considering a limit of a sequence of regularized stochastic gradient flows with re…
Numerical approximation of the Stochastic Cahn-Hilliard Equation near the Sharp Interface Limit
Dimitra Antonopoulou, Lubomir Banas, Robert Nürnberg +1
We consider the stochastic Cahn-Hilliard equation with additive noise term () that scales with the interfacial width parameter . We ver…
Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise
Lubomir Banas, Huanyu Yang and, Rongchan Zhu
We study the the sharp interface limit of -dependent two dimensional stochastic Cahn-Hilliard equation driven by space-time white noise and conservative noise as $\var…
Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere
L'ubomír Banas, Zdzisław Brzeźniak, Misha Neklyudov +2
We study ergodic properties of stochastic geometric wave equations on a particular model with the target being the 2D sphere while considering the space variable-independent soluti…
On the Landau-Lifshitz-Gilbert equation with magnetostriction
L'ubomir Banas, Marcus Page, Dirk Praetorius +1
To describe and simulate dynamic micromagnetic phenomena, we consider a coupled system of the nonlinear Landau-Lifshitz-Gilbert equation and the conservation of momentum equation.…
A convergent linear finite element scheme for the Maxwell-Landau-Lifshitz-Gilbert equation
L'ubomir Banas, Marcus Page, Dirk Praetorius
We consider a lowest-order finite element discretization of the nonlinear system of Maxwell's and Landau-Lifshitz-Gilbert equations (MLLG). Two algorithms are proposed to numerical…
Attractivity, invariance and ergodicity for SDEs on Riemannian manifolds
Lubomir Banas, Zdzislaw Brzezniak, Martin Ondrejat +1
We give a sufficient condition on nonlinearities of an SDE on a compact connected Riemannian manifold which implies that laws of all solutions converge weakly to the normalized…