<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Duality-based adaptivity of model and discretization in multiscale finite-element methods"^^ . "This thesis develops strategies for a posteriori error control of discretization and model errors, as well as adaptation strategies, in the context of multiscale finite-element methods. This is done within the general methodology\r\nof the DualWeighted Residual Method (DWR).\r\nIn particular, a reformulation of the Heterogeneous Multiscale Method(HMM) as an abstract model-adaptation framework is introduced that explicitly decouples discretization and model parameters. Based on the framework a samplingadaptation strategy is proposed that allows for simultaneous control of discretization and model errors with the help of classical refinement strategies for mesh and sampling regions. Further, a model-adaptation approach is derived that interprets model adaptivity as a minimization problem of a local model-error indicator.\r\n\r\nThis allows for the formulation of an efficient post-processing strategy that lifts the requirement of strict a priori knowledge about applicability and quality of\r\neffective models. The proposed framework is tested on an elliptic model problem with heterogeneous coefficients, as well as on an advection-diffusion problem with dominant microscopic transport."^^ . "2015" . . . . . . . "Matthias Sebastian"^^ . "Maier"^^ . "Matthias Sebastian Maier"^^ . . . . . . "Duality-based adaptivity of model and discretization in multiscale finite-element methods (PDF)"^^ . . . "dissertation-maier-2015.pdf"^^ . . . "Duality-based adaptivity of model and discretization in multiscale finite-element methods (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "Duality-based adaptivity of model and discretization in multiscale finite-element methods (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Duality-based adaptivity of model and discretization in multiscale finite-element methods (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Duality-based adaptivity of model and discretization in multiscale finite-element methods (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Duality-based adaptivity of model and discretization in multiscale finite-element methods (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #18889 \n\nDuality-based adaptivity of model and discretization in multiscale finite-element methods\n\n" . "text/html" . . . "510 Mathematik"@de . "510 Mathematics"@en . .