2 papers
math.NA2026
BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: unconditional weak convergence to weak solutions
Michele Aldé, Michael Feischl, Dirk Praetorius
We consider the Landau-Lifshitz-Gilbert equation (LLG) that models time-dependent micromagnetic phenomena. We propose a full discretization that employs first-order finite elements…
math.NA2025
Goal-oriented adaptivity for multilevel stochastic Galerkin FEM with nonlinear goal functionals
Alex Bespalov, Dirk Praetorius, Michele Ruggeri
This paper is concerned with the numerical approximation of quantities of interest associated with solutions to parametric elliptic partial differential equations (PDEs). The key n…