4 papers
The pollution effect for FEM approximations of the Ginzburg-Landau equation
Théophile Chaumont-Frelet, Patrick Henning
In this paper, we investigate the approximation properties of solutions to the Ginzburg-Landau equation (GLE) in finite element spaces. Special attention is given to how the errors…
A multiscale approach to the stationary Ginzburg-Landau equations of superconductivity
Christian Döding, Benjamin Dörich, Patrick Henning
In this work, we study the numerical approximation of minimizers of the Ginzburg-Landau free energy, a common model to describe the behavior of superconductors under magnetic field…
The Ginzburg-Landau equations: Vortex states and numerical multiscale approximations
Christian Döding, Patrick Henning
In this review article, we provide an overview of recent advances in the numerical approximation of minimizers of the Ginzburg-Landau energy in multiscale spaces. Such minimizers r…
Vortex-capturing multiscale spaces for the Ginzburg-Landau equation
Maria Blum, Christian Döding, Patrick Henning
This paper considers minimizers of the Ginzburg-Landau energy functional in special multiscale spaces that are based on finite elements. The spaces are constructed by localized ort…