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- W100104314 abstract "1. Adjoint consistency - in addition to consistency -is the key requirement for discontinuous Galerkin (DG) discretizationsto be of optimal order in L 2 as well as measured in termsof target functionals J(.). If the primal and adjoint solutions aresufficiently smooth, the order of convergence in J for an adjointconsistent discretization is twice the order of an adjointinconsistent discretization (order doubling). In this talk we providea general framework for analyzing the adjoint consistency of DGdiscretizations. We collect several conclusions which can be drawnfrom analyzing the adjoint consistency property of DG discretizationsof the linear advection equation, Poisson's equation and thecompressible Euler and Navier-Stokes equations. 2. Error estimation and adaptivity: We give someexamples of applying an a posteriori error estimation andadjoint based refinement to inviscid and viscous laminar sub-, trans-and supersonic compressible flows also in combination with anisotropicmesh refinement." @default.
- W100104314 created "2016-06-24" @default.
- W100104314 creator A5068101054 @default.
- W100104314 date "2007-01-01" @default.
- W100104314 modified "2023-09-27" @default.
- W100104314 title "DG discretizations for compressible flows: Adjoint consistency analysis, error estimation and adaptivity" @default.
- W100104314 hasPublicationYear "2007" @default.
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