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math.NA2026
Error analysis of a divergence-preserving mixed finite element scheme for the incompressible Hall--magnetohydrodynamic equations
Beniamin Goldys, Agus L. Soenjaya, Thanh Tran
The incompressible Hall-magnetohydrodynamics (Hall--MHD) system presents substantial analytical and computational challenges due to its stiff, highly nonlinear Hall term and the st…
math.NA2026★ 1 cited
A mixed finite element method for a class of fourth-order stochastic evolution equations with multiplicative noise
Beniamin Goldys, Agus L. Soenjaya, Thanh Tran
We develop a fully discrete, semi-implicit mixed finite element method for approximating solutions to a class of fourth-order stochastic partial differential equations (SPDEs) with…