On p-robust saturation on quadrangulations
| Authors | |
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| Publication date | 01-2020 |
| Journal | Computational methods in applied mathematics |
| Volume | Issue number | 20 | 1 |
| Pages (from-to) | 169-186 |
| Organisations |
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| Abstract | For the Poisson problem in two dimensions, posed on a domain partitioned into axis-aligned rectangles with up to one hanging node per edge, we envision an efficient error reduction step in an instance-optimal hp-adaptive finite element method. Central to this is the problem: Which increase in local polynomial degree ensures p-robust contraction of the error in energy norm? We reduce this problem to a small number of saturation problems on the reference square, and provide strong numerical evidence for their solution. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1515/cmam-2018-0136 |
| Published at | https://arxiv.org/abs/1804.09065 |
| Other links | https://www.scopus.com/pages/publications/85060696420 |
| Downloads |
Westerdiep_CMAM_20_1_2020_On p-Robust Saturation on Quadrangulations arxiv
(Submitted manuscript)
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