Name
Title | ||
|---|---|---|
A Convergent Implicit Finite Element Discretization of the Maxwell-Landau-Lifshitz-Gilbert Equation |
Abstract | ||
|---|---|---|
We propose an implicit, fully discrete scheme for the numerical solution of the Maxwell-Landau-Lifshitz-Gilbert equation which is based on linear finite elements and satisfies a discrete sphere constraint as well as a discrete energy law. As numerical parameters tend to zero, solutions weakly accumulate at weak solutions of the Maxwell-Landau-Lifshitz-Gilbert equation. A practical linearization of the nonlinear scheme is proposed and shown to converge for certain scalings of numerical parameters. Computational studies are presented to indicate finite-time blow-up behavior and to study combined electromagnetic phenomena in ferromagnets for benchmark problems. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1137/070683064 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
finite element,convergence,finite elements,ferromagnetism | Discretization,Discrete Poisson equation,Mathematical analysis,Landau–Lifshitz–Gilbert equation,Finite element method,Weak solution,Numerical analysis,Numerical linear algebra,Mathematics,Linearization | Journal |
Volume | Issue | ISSN |
46 | 3 | 0036-1429 |
Citations | PageRank | References |
7 | 1.00 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| L'UbomíR BaňAs | 1 | 21 | 5.53 |
| Sören Bartels | 2 | 355 | 56.90 |
| Andreas Prohl | 3 | 302 | 67.29 |