Convective transport in nanofluids: regularity of solutions and error estimates for finite element approximations
| Autor: | Pedro Morin, Eberhard Bänsch |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Applied Mathematics
Weak solution 010102 general mathematics Numerical Analysis (math.NA) Condensed Matter Physics Mathematical proof 01 natural sciences Finite element method Thermophoresis 010101 applied mathematics Computational Mathematics Nonlinear system Nanofluid Norm (mathematics) Heat transfer FOS: Mathematics Applied mathematics Mathematics - Numerical Analysis 0101 mathematics Mathematical Physics Mathematics |
| DOI: | 10.48550/arxiv.1912.04205 |
| Popis: | We study the stationary version of a thermodynamically consistent variant of the Buongiorno model describing convective transport in nanofluids. Under some smallness assumptions it is proved that there exist regular solutions. Based on this regularity result, error estimates, both in the natural norm as well as in weaker norms for finite element approximations can be shown. The proofs are based on the theory developed by Caloz and Rappaz for general nonlinear, smooth problems. Computational results confirm the theoretical findings. Comment: 16 pages, 3 figures |
| Databáze: | OpenAIRE |
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