5 papers
Numerical Approximation of the stochastic Cahn--Hilliard equation with singular potential
Ľubomír Baňas, Stefan Metzger
We discuss the numerical approximation of the stochastic Cahn--Hilliard equation with a singular double-obstacle potential and multiplicative conservative noise. We propose a regul…
Robust a posteriori error analysis of the stochastic Cahn-Hilliard equation with rough noise
Lubomir Banas, Jean Daniel Mukam
We derive a posteriori error estimate for a fully discrete adaptive finite element approximation of the stochastic Cahn-Hilliard equation with rough noise. The considered model is…
Numerical approximation of bi-harmonic wave maps into spheres
Ľubomír Baňas, Sebastian Herr
We construct a structure preserving non-conforming finite element approximation scheme for the bi-harmonic wave maps into spheres equation. It satisfies a discrete energy law and p…
Numerical approximation of the stochastic Cahn-Hilliard equation with space-time white noise near the sharp interface limit
Ľubomír Baňas, Jean Daniel Mukam
We consider the stochastic Cahn-Hilliard equation with additive space-time white noise in dimension , where is an interfacial width parameter. We study nu…
Numerical approximation of Dynkin games with asymmetric information
Ľubomír Baňas, Giorgio Ferrari, Tsiry Avisoa Randrianasolo
We propose an implementable, neural network-based structure preserving probabilistic numerical approximation for a generalized obstacle problem describing the value of a zero-sum d…