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math.NA2026
Stability, Convergence, and Error Analysis of Finite Element Methods for 3D Magnetohydrodynamics with -Laplacian Viscosity
Kim Ngan Le, Akash Ashirbad Panda, Evana Islam Sarkar
This paper develops a fully discrete finite element method for three-dimensional incompressible magnetohydrodynamic (MHD) flows with nonlinear -Laplace viscosity. The scheme com…
math.NA2022
Numerical method and Error estimate for stochastic Landau--Lifshitz--Bloch equation
Beniamin Goldys, Chunxi Jiao, Kim-Ngan Le
We study numerical methods for solving a system of quasilinear stochastic partial differential equations known as the stochastic Landau-Lifshitz-Bloch (LLB) equation on a bounded d…
math.NA2020
Design and convergence analysis of numerical methods for stochastic evolution equations with Leray-Lions operator
Jerome Droniou, Beniamin Goldys, Kim-Ngan Le
*The gradient discretisation method (GDM) is a generic framework, covering many classical methods (Finite Elements, Finite Volumes, Discontinuous Galerkin, etc.), for designing and…