Title |
Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations
|
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Published in |
Numerische Mathematik, August 2016
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DOI | 10.1007/s00211-016-0836-8 |
Pubmed ID | |
Authors |
Michael Feischl, Gregor Gantner, Alexander Haberl, Dirk Praetorius |
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. |
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Geographical breakdown
Country | Count | As % |
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Unknown | 2 | 100% |
Demographic breakdown
Type | Count | As % |
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Members of the public | 1 | 50% |
Scientists | 1 | 50% |
Mendeley readers
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Geographical breakdown
Country | Count | As % |
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Unknown | 10 | 100% |
Demographic breakdown
Readers by professional status | Count | As % |
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Student > Ph. D. Student | 2 | 20% |
Researcher | 2 | 20% |
Other | 1 | 10% |
Professor | 1 | 10% |
Lecturer | 1 | 10% |
Other | 2 | 20% |
Unknown | 1 | 10% |
Readers by discipline | Count | As % |
---|---|---|
Mathematics | 6 | 60% |
Engineering | 2 | 20% |
Unknown | 2 | 20% |
Attention Score in Context
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