4 papers
A decoupled, stable, and second-order integrator for the Landau--Lifshitz--Gilbert equation with magnetoelastic effects
Martin KružÃk, Hywel Normington, Michele Ruggeri
We consider the numerical approximation of a nonlinear system of partial differential equations modeling magnetostriction in the small-strain regime consisting of the Landau--Lifsh…
Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step sizes
Georgios Akrivis, Sören Bartels, Michele Ruggeri +1
We construct and analyze a projection-free linearly implicit method for the approximation of flows of harmonic maps into spheres. The proposed method is unconditionally energy stab…
A decoupled, convergent and fully linear algorithm for the Landau--Lifshitz--Gilbert equation with magnetoelastic effects
Hywel Normington, Michele Ruggeri
We consider the coupled system of the Landau--Lifshitz--Gilbert equation and the conservation of linear momentum law to describe magnetic processes in ferromagnetic materials inclu…
Optimal convergence rates of an adaptive hybrid FEM-BEM method for full-space linear transmission problems
Gregor Gantner, Michele Ruggeri
We consider a hybrid FEM-BEM method to compute approximations of full-space linear elliptic transmission problems. First, we derive a priori and a posteriori error estimates. Then,…