Name
Title | ||
|---|---|---|
Error control for the approximation of Allen–Cahn and Cahn–Hilliard equations with a logarithmic potential |
Abstract | ||
|---|---|---|
A fully computable upper bound for the finite element approximation error of Allen–Cahn and Cahn–Hilliard equations with logarithmic potentials is derived. Numerical experiments show that for the sharp interface limit this bound is robust past topological changes. Modifications of the abstract results to derive quasi-optimal error estimates in different norms for lowest order finite element methods are discussed and lead to weaker conditions on the residuals under which the conditional error estimates hold. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/s00211-011-0389-9 | Numerische Mathematik |
Keywords | Field | DocType |
lowest order,error control,numerical experiment,abstract result,quasi-optimal error estimate,hilliard equation,finite element method,conditional error estimate,logarithmic potential,different norm,finite element approximation error | Mathematical optimization,Mathematical analysis,Upper and lower bounds,Cahn–Hilliard equation,Finite element method,Error detection and correction,Logarithm,Mathematics,Approximation error | Journal |
Volume | Issue | ISSN |
119 | 3 | 0945-3245 |
Citations | PageRank | References |
2 | 0.38 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sören Bartels | 1 | 355 | 56.90 |
| Rüdiger Müller | 2 | 20 | 2.71 |