Mathematical modeling and numerical multigoal-oriented a posteriori error control and adaptivity for a stationary, nonlinear, coupled flow temperature model with temperature dependent density
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916189364551680 |
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| author | Beuchler, Sven Demircan, Ayhan Endtmayer, Bernhard Morgner, Uwe Wick, Thomas |
| author_facet | Beuchler, Sven Demircan, Ayhan Endtmayer, Bernhard Morgner, Uwe Wick, Thomas |
| contents | In this work, we develop adaptive schemes using goal-oriented error control for a highly nonlinear flow temperature model with temperature dependent density. The dual-weighted residual method for computing error indicators to steer mesh refinement and solver control is employed. The error indicators are used to employ adaptive algorithms, which are substantiated with several numerical tests. Therein, error reductions and effectivity indices are consulted to establish the robustness and efficiency of our framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01823 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mathematical modeling and numerical multigoal-oriented a posteriori error control and adaptivity for a stationary, nonlinear, coupled flow temperature model with temperature dependent density Beuchler, Sven Demircan, Ayhan Endtmayer, Bernhard Morgner, Uwe Wick, Thomas Numerical Analysis In this work, we develop adaptive schemes using goal-oriented error control for a highly nonlinear flow temperature model with temperature dependent density. The dual-weighted residual method for computing error indicators to steer mesh refinement and solver control is employed. The error indicators are used to employ adaptive algorithms, which are substantiated with several numerical tests. Therein, error reductions and effectivity indices are consulted to establish the robustness and efficiency of our framework. |
| title | Mathematical modeling and numerical multigoal-oriented a posteriori error control and adaptivity for a stationary, nonlinear, coupled flow temperature model with temperature dependent density |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2404.01823 |