Instance Optimality of the Adaptive Maximum Strategy
| Authors |
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|---|---|
| Publication date | 2016 |
| Journal | Foundations of Computational Mathematics |
| Volume | Issue number | 16 | 1 |
| Pages (from-to) | 33-68 |
| Organisations |
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| Abstract |
In this paper, we prove that the standard adaptive finite element method with a (modified) maximum marking strategy is instance optimal for the total error, being the square root of the squared energy error plus the squared oscillation. This result will be derived in the model setting of Poisson’s equation on a polygon, linear finite elements, and conforming triangulations created by newest vertex bisection. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/s10208-014-9236-6 |
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