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math.NA2020★ 2 cited
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…
math.NA2020
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…
math.NA2020
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…