Name
Title | ||
|---|---|---|
Constraint preserving implicit finite element discretization of harmonic map flow into spheres |
Abstract | ||
|---|---|---|
Discretization of the harmonic map flow into spheres often uses a penalization or projection strategy, where the first suffers from the proper choice of an additional parameter, and the latter from the lack of a discrete energy law, and restrictive mesh-constraints. We propose an implicit scheme that preserves the sphere constraint at every node, enjoys a discrete energy law, and unconditionally converges to weak solutions of the harmonic map heatflow. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1090/S0025-5718-07-02026-1 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
harmonic map flow,finite element method,fully discrete scheme,convergence. | Convergence (routing),Discretization,Mathematical optimization,Harmonic map,Mathematical analysis,Flow (psychology),Weak solution,Finite element method,SPHERES,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
76 | 260 | 0025-5718 |
Citations | PageRank | References |
13 | 1.54 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sören Bartels | 1 | 355 | 56.90 |
| Andreas Prohl | 2 | 302 | 67.29 |