Name
Title | ||
|---|---|---|
Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations |
Abstract | ||
|---|---|---|
In a recent work (Feischl et al. in Eng Anal Bound Elem 62:141---153, 2016), we analyzed a weighted-residual error estimator for isogeometric boundary element methods in 2D and proposed an adaptive algorithm which steers the local mesh-refinement of the underlying partition as well as the multiplicity of the knots. In the present work, we give a mathematical proof that this algorithm leads to convergence even with optimal algebraic rates. Technical contributions include a novel mesh-size function which also monitors the knot multiplicity as well as inverse estimates for NURBS in fractional-order Sobolev norms. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s00211-016-0836-8 | Numerische Mathematik |
Keywords | Field | DocType |
65D07,65N38,65N50,65Y20 | Convergence (routing),Mathematical optimization,Algebraic number,Singular integral,Mathematical analysis,Sobolev space,Boundary element method,Adaptive algorithm,Knot (unit),Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
136 | 1 | 0945-3245 |
Citations | PageRank | References |
2 | 0.39 | 13 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M Feischl | 1 | 52 | 7.67 |
| gregor gantner | 2 | 3 | 1.77 |
| alexander haberl | 3 | 2 | 0.39 |
| Dirk Praetorius | 4 | 121 | 22.50 |