34 citations · 85 across the 36 of their papers we have counts for
3 papers · 1 filter
A finite element approximation for the stochastic Landau-Lifshitz-Gilbert equation
Beniamin Goldys, Kim-Ngan Le, Thanh Tran
The stochastic Landau--Lifshitz--Gilbert (LLG) equation describes the behaviour of the magnetization under the influence of the effective field consisting of random fluctuations. W…
Gauss-Markov processes on Hilbert spaces
Ben Goldys, Szymon Peszat, Jerzy Zabczyk
K. Itô characterised in \cite{ito} zero-mean stationary Gauss Markov-processes evolving on a class of infinite-dimensional spaces. In this work we extend the work of Itô in the cas…
Second Order PDEs with Dirichlet White Noise Boundary Condition
Zdzislaw Brzezniak, Ben Goldys, Szymon Peszat +1
In this paper we study the Poisson and heat equations on bounded and unbounded domains with smooth boundary with random Dirichlet boundary conditions. The main novelty of this work…