Name
Abstract | ||
|---|---|---|
A semi-implicit scheme using linear finite elements for the approximation of wave maps into smooth or convex surfaces is devised, and its stability is analyzed. Convergence is established for the case of the unit sphere as a target manifold, which is unconditional in the case of $(2+1)$ Minkowski space. Numerical experiments illustrate the theoretical results. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1137/080731475 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
convex surface,target manifold,linear finite element,convex surfaces,numerical experiment,wave maps,theoretical result,semi-implicit approximation,unit sphere,semi-implicit scheme,minkowski space,wave map,finite element methods,stability,convergence | Linear approximation,Mathematical analysis,Minkowski space,Regular polygon,Numerical analysis,Partial differential equation,Mathematics,Manifold,Numerical stability,Unit sphere | Journal |
Volume | Issue | ISSN |
47 | 5 | 0036-1429 |
Citations | PageRank | References |
1 | 0.37 | 6 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sören Bartels | 1 | 355 | 56.90 |