68 citations · 139 across the 15 of their papers we have counts for
3 papers · 1 filter
Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media
Hanz Martin Cheng, Jerome Droniou, Kim-Ngan Le
We analyse the convergence of numerical schemes in the GDM-ELLAM (Gradient Discretisation Method-Eulerian Lagrangian Localised Adjoint Method) framework for a strongly coupled elli…
A finite element approximation for the stochastic Landau--Lifshitz--Gilbert equation with multi-dimensional noise
Beniamin Goldys, Joseph Grotowski, Kim-Ngan Le
We propose an unconditionally convergent linear finite element scheme for the stochastic Landau--Lifshitz--Gilbert (LLG) equation with multi-dimensional noise. By using the Doss-Su…
A finite element approximation for the stochastic Maxwell--Landau--Lifshitz--Gilbert system
Beniamin Goldys, Kim-Ngan Le, Thanh Tran
The stochastic Landau--Lifshitz--Gilbert (LLG) equation coupled with the Maxwell equations (the so called stochastic MLLG system) describes the creation of domain walls and vortice…