A continuous-mesh optimization technique for piecewise polynomial approximation on tetrahedral grids

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10384600" target="_blank" >RIV/00216208:11320/18:10384600 - isvavai.cz</a>
Result on the web
<a href="https://arc.aiaa.org/doi/10.2514/6.2018-3246" target="_blank" >https://arc.aiaa.org/doi/10.2514/6.2018-3246</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2514/6.2018-3246" target="_blank" >10.2514/6.2018-3246</a>

Result language
angličtina
Original language name
A continuous-mesh optimization technique for piecewise polynomial approximation on tetrahedral grids
Original language description
Building on previous research we present a three-dimensional formulation of a metricbased mesh optimization scheme. The intended application area is higher order (discontinuous) Galerkin schemes for convection-diffusion problems. Ultimately, as in our previous two-dimensional formulation, the aim is to use the method for compressible flow simulation. Similar to the two-dimensional formulation, we combine a local (analytical) optimization of the anisotropy with an ensuing global optimization of the mesh density distribution. In particular the local optimization of the mesh anisotropy is a non-trivial extension of the two-dimensional case. Both optimization steps are built on a suitable continuous-mesh error estimate. The scheme is parameter-free, using only the total integrated mesh density as a constraint. We present the derivation of the method, as well as numerical experiments using model problems.
Czech name
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Czech description
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Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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