Adjoint-based anisotropic mesh adaptation for Discontinuous Galerkin Methods Using a Continuous Mesh Model
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10360273" target="_blank" >RIV/00216208:11320/17:10360273 - isvavai.cz</a>
Result on the web
<a href="https://arc.aiaa.org/doi/abs/10.2514/6.2017-3100" target="_blank" >https://arc.aiaa.org/doi/abs/10.2514/6.2017-3100</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2514/6.2017-3100" target="_blank" >10.2514/6.2017-3100</a>
Alternative languages
Result language
angličtina
Original language name
Adjoint-based anisotropic mesh adaptation for Discontinuous Galerkin Methods Using a Continuous Mesh Model
Original language description
In this paper we propose an adjoint-based mesh optimization method for conservation laws, which may be used with any numerical method based on piecewise polynomials. The method uses a continuous mesh framework, where a global optimization scheme was formulated with respect to the error in the numerical solution, measured in any $L^q$ norm. The novelty of the present work is the extension to more general optimization targets. Here, any solution-dependent functional, which is compatible with an adjoint equation, may be the target of the continuous-mesh optimization. We present the rationale behind the formulation of the optimization problem, with particular emphasis on the continuous mesh model, and the relevant adjoint-based error estimate. We also present numerical results, demonstrating the viability of the scheme.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
23rd AIAA Computational Fluid Dynamics Conference
ISBN
978-1-62410-506-7
ISSN
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e-ISSN
neuvedeno
Number of pages
19
Pages from-to
1-19
Publisher name
American Institute of Aeronautics and Astronautics Inc, AIAA
Place of publication
Denver,USA
Event location
Denver
Event date
Jun 5, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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