Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 8 of 8 for “"Randwertproblem"”.
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Effiziente reduzierte Newton-ähnliche Verfahren zur Behandlung hochdimensionaler strukturierter Optimierungsprobleme mit Anwendung bei biologischen und chemischen Prozessen
… Gitter wird das resultierende Mehrpunkt-Randwertproblem mit speziell angepaßten partiell reduzierten Newton-ähnlichen Methoden gelöst. Die Methoden stellen eine Erweiterung der direkten Mehrfach-Schießverfahren für DAE-Modelle vom Index 1 dar. Essentiell ist die Reduktion der Anzahl der …
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Beiträge zur Optimalen Steuerung partiell-differential algebraischer Gleichungen
… erhält aus den neuen notwendigen Bedingungen ein Randwertproblem auf verschiedenen Gebieten mit Übergangsbedingungen. Das Interface zwischen den verschiedenen Gebieten stellt eine Optimierungsvariable dar. Eine notwendige Bedingung am Interface wird mit Techniken der Shapeoptimierung hergeleitet. …
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Conformal pseudo-metrics and some applications
The point of departure for the present work has been the following free boundary value problem for analytic functions $f$ which are defined on a domain $G \subset \mathbb{C}$ and map into the unit disk $\mathbb{D}= \{z \in \mathbb{C} : |z|<1 \}$. Problem 1: Let $z_1, \ldots, z_n$ be finitely many …
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Exact Riemann solution for the Euler equations with nonconvex and nonsmooth equation of state
This thesis is concerned with the solution of the Riemann problem for the Euler equations with nonconvex and nonsmooth equation of state. The main goal is to develop an exact Riemann solution by means of wave curve composition, which accounts for physically relevant effects such as composite waves …
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Towards a fictitious domain method with optimally smooth solutions
The main focus of this thesis is the smoothness of the solutions provided by fictitious domain methods for elliptic boundary value problems, and the construction of a new fictitious domain method which does not introduce artificial singularities, yielding better performance. After settling the …
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Travelling wave solutions of the heat equation in an unbounded cylinder with a non-linear boundary condition
Let $Omega$ be a bounded domain in $R^2$. The existence of travelling wave solutions for the heat equation in the unbounded cylinder $RimesOmega$ subject to the nonlinear boundary condition $partial u over partial n = f(u)$ is investigated. Finding such a solution amounts to solving the elliptic …
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Shape optimization of a floating body
In the present thesis we consider a variational formulation of a floating body in a perfect fluid. In particular, we study the case of a stationary two-dimensional potential flow and thus we are able to replace the velocity potential by its harmonic conjugate which is called the stream function. …
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Level set methods for higher order evolution laws
A numerical treatment of non-linear higher-order geometric evolution equations with the level set and the finite element method is presented. The isotropic, weak anisotropic and strong anisotropic situation is discussed. Most of the equations considered in this work arise from the field of thin …