2 citations · 3 across the 6 of their papers we have counts for
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Efficient iterative linearised solvers for numerical approximations of stochastic Stefan problems
Muhammad Awais Khan, Jérôme Droniou, Kim-Ngan Le +1
We present iterative solvers to approximate the solution of numerical schemes for stochastic Stefan problems. After briefly talking about the convergence results, we tackle the que…
Error estimates for numerical approximations of a nonlinear gradient flow model
Jerome Droniou, Kim-Ngan Le, Huateng Zhu
We perform numerical analysis of a nonlinear gradient flow, which can be regarded as a parabolic minimal surface problem or a regularised total variation flow, using the gradient d…
Reaching the equilibrium: Long-term stable approximations for stochastic non-Newtonian Stokes equations with transport noise
Jerome Droniou, Kim-Ngan Le, Jörn Wichmann
We propose and analyse a novel, fully discrete numerical algorithm for the approximation of the generalised Stokes system forced by transport noise -- a prototype model for non-New…
The Landau--Lifshitz--Bloch equation on polytopal domains: Unique existence and finite element approximation
Kim-Ngan Le, Agus L. Soenjaya, Thanh Tran
The Landau--Lifshitz--Bloch equation (LLBE) describes the evolution of the magnetic spin field in ferromagnets at high temperatures. In this paper, we study the numerical approxima…
A class of space-time discretizations for the stochastic -Stokes system
Kim-Ngan Le, Jörn Wichmann
The main objective of the present paper is to construct a new class of space-time discretizations for the stochastic -Stokes system and analyze its stability and convergence pro…
Numerical analysis of the stochastic Stefan problem
Jerome Droniou, Muhammad Awais Khan, Kim Ngan Le
The gradient discretisation method (GDM) -- a generic framework encompassing many numerical methods -- is studied for a general stochastic Stefan problem with multiplicative noise.…