An Adaptive Wavelet Method for Semi-Linear First-Order System Least Squares
| Authors |
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| Publication date |
2015
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| Journal |
Computational methods in applied mathematics
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| Volume | Issue number |
15 | 4
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| Pages (from-to) |
439-463
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| Organisations |
-
Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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| Abstract |
We design an adaptive wavelet scheme for solving first-order system least-squares formulations of second-order elliptic PDEs that converge with the best possible rate in linear complexity. A wavelet Riesz basis is constructed for the space H⃗ 0,ΓN(div;Ω) on general polygons. The theoretical findings are illustrated by numerical experiments.
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| Document type |
Article
|
| Language |
English
|
| Published at |
https://doi.org/10.1515/cmam-2015-0023
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