Name
Title | ||
|---|---|---|
Convergence of an implicit-explicit midpoint scheme for computational micromagnetics. |
Abstract | ||
|---|---|---|
Based on lowest-order finite elements in space, we consider the numerical integration of the Landau–Lifschitz–Gilbert equation (LLG). The dynamics of LLG is driven by the so-called effective field which usually consists of the exchange field, the external field, and lower-order contributions such as the stray field. The latter requires the solution of an additional partial differential equation in full space. Following Bartels and Prohl (2006), we employ the implicit midpoint rule to treat the exchange field. However, in order to treat the lower-order terms effectively, we combine the midpoint rule with an explicit Adams–Bashforth scheme. The resulting integrator is formally of second-order in time, and we prove unconditional convergence towards a weak solution of LLG. Numerical experiments underpin the theoretical findings. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.camwa.2017.11.028 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Micromagnetism,Landau–Lifschitz–Gilbert equation,Spin-transfer torque,Finite elements,Implicit–explicit time-integration | Convergence (routing),Mathematical optimization,Midpoint,Mathematical analysis,Numerical integration,Finite element method,Weak solution,Midpoint method,Unconditional convergence,Partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
75 | 5 | 0898-1221 |
Citations | PageRank | References |
0 | 0.34 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dirk Praetorius | 1 | 121 | 22.50 |
| Michele Ruggeri | 2 | 7 | 2.72 |
| Bernhard Stiftner | 3 | 0 | 0.34 |