2 papers
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…
math.NA2024
Quasi-Monte Carlo sparse grid Galerkin finite element methods for linear elasticity equations with uncertainties
M. Clarke, J. Dick, Q. T. Le Gia +2
We explore a linear inhomogeneous elasticity equation with random Lamé parameters. The latter are parameterized by a countably infinite number of terms in separated expansions. Th…