Name
Title | ||
|---|---|---|
Convergence of an implicit, constraint preserving finite element discretization of p-harmonic heat flow into spheres |
Abstract | ||
|---|---|---|
We propose an implicit discretization of the p-harmonic map heat flow into the sphere S
2 that enjoys a discrete energy inequality and converges under only a mild mesh constraint to a weak solution. A fully practical
iterative scheme that approximates the solution of the nonlinear system of equations in each time step is proposed and analyzed.
Computational studies to motivate possible finite-time blow-up behavior of solutions for p ≠ 2 are included. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s00211-008-0150-1 | Numerische Mathematik |
Keywords | Field | DocType |
p-harmonic map heat flow,finite element discretization,discrete energy inequality,implicit discretization,p-harmonic heat flow,nonlinear system,mild mesh constraint,possible finite-time blow-up behavior,time step,weak solution,practical iterative scheme,computational study,harmonic map,heat flow,finite element method,finite element | Convergence (routing),Discretization,Iterative method,Mathematical analysis,Harmonic,Finite element method,Weak solution,SPHERES,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
109 | 4 | 0945-3245 |
Citations | PageRank | References |
3 | 0.48 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sören Bartels | 1 | 355 | 56.90 |
| Andreas Prohl | 2 | 302 | 67.29 |