000014715 001__ 14715
000014715 005__ 20161115100200.0
000014715 04107 $$aeng
000014715 046__ $$k2016-08-21
000014715 100__ $$aRingue, Nicolas
000014715 24500 $$aOptimization-based anisotropic mesh-polynomial adaptation for high-order methods

000014715 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014715 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014715 506__ $$arestricted
000014715 520__ $$2eng$$aWe present a general framework for anisotropic hp-adaptation of high-order discontinuous Galerkin finite element discretizations for compressible flow simulation. Using the sensitivities of an adjoint-based error estimate our method seeks optimal element mesh size h and polynomial degree p distributions. This approach results in an optimal hp-mesh tailored to yield the most accurate prediction of a quantity of interest, such as aerodynamic coefficients, at a given computational cost (number of degrees of freedom). The proposed approach features a reduced dependence on the initial mesh compared to established adjoint-based adaptive methods. It provides a unifying framework where adaptation choices such as isotropic/anisotropic, h-/p-refinement/coarsening do not only rely on local arbitrary measures of the solution’s anisotropy and smoothness, but rather where a globally optimal distribution of degrees of freedom is sought to minimize the error in the chosen quantity of interest.

000014715 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014715 653__ $$a

000014715 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014715 720__ $$aRingue, Nicolas
000014715 8560_ $$ffischerc@itam.cas.cz
000014715 8564_ $$s99772$$uhttps://invenio.itam.cas.cz/record/14715/files/TS.FM13-3.02.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1356, code TS.FM13-3.02
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000014715 962__ $$r13812
000014715 980__ $$aPAPER