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math.NA2025★ 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…
math.AP2025
Pathwise Solvability and Bubbling in 2D Stochastic Landau-Lifshitz-Gilbert Equations
Ben Goldys, Chunxi Jiao, Christof Melcher
We investigate the stochastic Landau-Lifshitz-Gilbert (LLG) equation on a periodic 2D domain, driven by infinite-dimensional Gaussian noise in a Sobolev class. We establish strong…