Search results for "Computational mesh"
showing 2 items of 2 documents
Multiresolution-based adaptive schemes for Hyperbolic Conservation Laws
2006
Starting in the early nineties, wavelet and wavelet-like techniques have been successfully used to design adaptive schemes for the numerical solution of certain types of PDE. In this paper we review two representative examples of the development of such techniques for Hyperbolic Conservation Laws.
Multiscale simulations of topological transformations in magnetic-skyrmion spin structures
2017
Magnetic Skyrmions belong to the most interesting spin structures for the development of future information technology as they have been predicted to be topologically protected. To quantify their stability, we use an innovative multiscale approach to simulating spin dynamics based on the Landau-Lifshitz-Gilbert equation. The multiscale approach overcomes the micromagnetic limitations that have hindered realistic studies using conventional techniques. We first demonstrate how the stability of a Skyrmion is influenced by the refinement of the computational mesh and reveal that conventionally employed traditional micromagnetic simulations are inadequate for this task. Furthermore, we determine…