DIRECT AND INVERSE APPROXIMATION THEOREMS FOR THE p-VERSION OF THE FINITE ELEMENT METHOD IN THE FRAMEWORK OF WEIGHTED BESOV SPACES PART II: OPTIMAL RATE OF CONVERGENCE OF THE p-VERSION FINITE ELEMENT SOLUTIONS
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- Teacher disagreement score
- 0.490
- Threshold uncertainty score
- 0.363
- Validation status
machine_predicted_unvalidated·codex-gemma-dda1882f352a
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|---|---|---|
| Metaresearch | 0.008 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
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| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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- Teacher spread
- 0.247 · how far apart the two teachers sit on this one work
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score_only:v0-immature-baseline· verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it
Abstract
This is the second of a series devoted to the direct and inverse approximation theorems of the p-version of the finite element method in the framework of the weighted Besov spaces. In this paper, we combine the approximability of singular solutions in the Jacobi-weighted Besov spaces, which were analyzed in the previous paper, 4 with the technique of partition of unity in order to prove the optimal rate of convergence of the p-version of the finite element method for elliptic boundary value problems on polygonal domains.
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The record
- Venue
- Mathematical Models and Methods in Applied Sciences
- Topic
- Differential Equations and Boundary Problems
- Field
- Mathematics
- Canadian institutions
- University of Manitoba
- Funders
- not available
- Keywords
- MathematicsPartition of unityRate of convergenceConvergence (economics)InverseFinite element methodPartition (number theory)Applied mathematicsOrder (exchange)Mathematical analysisKey (lock)CombinatoricsComputer scienceGeometry
- Has abstract in OpenAlex
- yes