3 papers
math.NA2025
A Reduced Basis Method for the Stochastic Landau-Lifshitz-Gilbert Equation
Andrea Scaglioni, Michael Feischl, Fernando HenrÃquez
In this work, we consider the construction of efficient surrogates for the stochastic version of the Landau-Lifshitz-Gilbert (LLG) equation using model order reduction techniques,…
math.NA2025
Convergence of adaptive stochastic collocation with finite elements
Michael Feischl, Andrea Scaglioni
We consider an elliptic partial differential equation with a random diffusion parameter discretized by a stochastic collocation method in the parameter domain and a finite element…
math.NA2025
Sparse grid approximation of nonlinear SPDEs: The Landau--Lifshitz--Gilbert equation
Xin An, Josef Dick, Michael Feischl +2
We show convergence rates for a sparse grid approximation of the distribution of solutions of the stochastic Landau-Lifshitz-Gilbert equation. Beyond being a frequently studied equ…