Ergebnisse für: adjoint methods
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This thesis presents the development of a multidisciplinary tool chain framework to quantify the impact of turbine manufacturing imperfections based on CFD and FEM adjoint methods. The application range of the adjoint method is verified and validated using a public and proprietary test case, focusin...
Das Software-Werkzeug Automatisches Differenzieren für MATLAB (ADiMat) wird um den Rückwärts- oder Adjungiertenmodus erweitert. Dieser erlaubt die hocheffiziente Berechnung der Ableitungen von skalaren Funktionen, d.h. langer Gradienten und großer Hesse-Matrizen, und spielt damit eine zentrale R...
This book delves onto modern mathematical methods aimed at mitigating environmental pollution risks caused by industrial activities. Showing the alarming global issue of industrial pollution, the text explores the complexities of emission control strategies and dispersion models. Through a systemati...
As computational fluid dynamics (CFD) is applied to ever more demanding fluid flow problems, the ability to compute numerical fluid flow solutions to a user specified tolerance as well as the ability to quantify the accuracy of an existing numerical solution are seen as essential ingredients in robu...
This book presents recent advances in evolutionary and deterministic methods for design, optimization, and control in real-world engineering. Topics include multi-objective optimization, machine learning, shape and topology design, and uncertainty quantification. It features selected contributions f...
Adjoint Navier-Stokes methods are presented for incompressible flow. The sensitivity derivative of scalar hydrodynamic objective functionals with respect to the shape is obtained at the cost of one flow-field computation, so that the numerical effort is practically independent of the number of shap...
In this thesis a new class of rank-1 update formulas
is investigated. It is applied to approximate
Jacobians in quasi-Newton methods for the solution
of nonlinear equations. The update formulas
make explicite use of adjoint and partly direct derivative
information. For example, these derivatives
can...
This monograph presents a study of newly developed guaranteed computational methodologies for eigenvalue problems of self-adjoint differential operators. It focuses on deriving explicit lower and upper bounds for eigenvalues, as well as explicit estimations for eigenfunction approximations. Such exp...
This monograph presents a study of newly developed guaranteed computational methodologies for eigenvalue problems of self-adjoint differential operators. It focuses on deriving explicit lower and upper bounds for eigenvalues, as well as explicit estimations for eigenfunction approximations. Such exp...
This book defines and develops the generalized adjoint of an input-output system. It is the result of a theoretical development and examination of the generalized adjoint concept and the conditions under which systems analysis using adjoints is valid. Results developed in this book are useful aids f...