5 papers · 1 filter
The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics
Giovanni Di Fratta, Carl-Martin Pfeiler, Dirk Praetorius +1
We discuss a mass-lumped midpoint scheme for the numerical approximation of the Landau-Lifshitz-Gilbert equation, which models the dynamics of the magnetization in ferromagnetic ma…
Gamma-convergent projection-free finite element methods for nematic liquid crystals: The Ericksen model
Ricardo H. Nochetto, Michele Ruggeri, Shuo Yang
The Ericksen model for nematic liquid crystals couples a director field with a scalar degree of orientation variable, and allows the formation of various defects with finite energy…
Numerical analysis of the Landau-Lifshitz-Gilbert equation with inertial effects
Michele Ruggeri
We consider the numerical approximation of the inertial Landau-Lifshitz-Gilbert equation (iLLG), which describes the dynamics of the magnetization in ferromagnetic materials at sub…
Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin FEM
Alex Bespalov, Dirk Praetorius, Michele Ruggeri
The paper considers a class of parametric elliptic partial differential equations (PDEs), where the coefficients and the right-hand side function depend on infinitely many (uncerta…
The saturation assumption yields optimal convergence of two-level adaptive BEM
Dirk Praetorius, Michele Ruggeri, Ernst P. Stephan
We consider the convergence of adaptive BEM for weakly-singular and hypersingular integral equations associated with the Laplacian and the Helmholtz operator in 2D and 3D. The loca…