39 citations · 41 across the 3 of their papers we have counts for
5 papers
Optimally Convergent Mixed Finite Element Methods for the Stochastic Stokes Equations
Xiaobing Feng, Andreas Prohl, Liet Vo
We propose some new mixed finite element methods for the time dependent stochastic Stokes equations with multiplicative noise, which use the Helmholtz decomposition of the driving…
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 Nonlinear SPDE's
Martin Ondrejat, Andreas Prohl, Noel Walkington
The numerical analysis of stochastic parabolic partial differential equations of the form is surveyed, where is a partial operator and a…
Existence, uniqueness and regularity for the stochastic Ericksen-Leslie equation
Anne De Bouard, Antoine Hocquet, Andreas Prohl
We investigate existence and uniqueness for the stochastic liquid crystal flow driven by colored noise on the two-dimensional torus. After giving a natural uniqueness criterion, we…
Optimal Strong Rates of Convergence for a Space-Time Discretization of the Stochastic Allen-Cahn Equation with multiplicative noise
Ananta K. Majee, Andreas Prohl
The stochastic Allen-Cahn equation with multiplicative noise involves the nonlinear drift operator . We use the fact that ${\…