Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Referee "Lube, Gert Prof. Dr."
Now showing items 1-20 of 29
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Higher Order Unfitted Space-Time Finite Element Methods for Moving Domain Problems
(2025-01-13)Finite Element methods are a well-established tool for simulating the behaviour of systems from various applications stemming from physics, engineering, and other sciences. In recent years, Unfitted Finite Element methods ... -
High-order Unfitted Discretizations for Partial Differential Equations Coupled with Geometric Flow
(2023-02-17)We consider a moving free boundary problem where a diffusion equation posed on an evolving domain bounded by a smooth surface is coupled with a mean curvature flow of the bounding surface. The evolution velocity of the ... -
GPU fast multipole method with lambda-dynamics features
(2021-11-11)A significant and computationally most demanding part of molecular dynamics simulations is the calculation of long-range electrostatic interactions. Such interactions can be evaluated directly by the naïve pairwise summation ... -
Robustness of High-Order Divergence-Free Finite Element Methods for Incompressible Computational Fluid Dynamics
(2019-03-07)In computational fluid dynamics, obtaining exactly divergence-free approximations to the incompressible Navier-Stokes equations, by means of finite element methods, has actually not been particularly popular in the last ... -
Optimizations of Optical Flow Measurement Systems
(2018-10-22)In this cumulative thesis contributions are presented that cover the computational aspects of optical measurement systems for flow investigations in aerodynamics and fluid mechanics. Flow measurements are useful in gaining ... -
Origami Cylinders
(2018-05-02)Origami, the age-old art of folding intricate three-dimensional structures from flat material, has found numerous applications in e.g. the design of deployable structures and mechanical metamaterials. This thesis ... -
On Localization and Multiscale in Data Assimilation
(2017-06-01)The main goal of inverse problems is the reconstruction of unknown quantities, often they are located in an inaccessible part of space. Data assimilation, which is the integration of inverse problems techniques with dynamical ... -
On Collective Communication and Notified Read in the Global Address Space Programming Interface (GASPI)
(2017-03-28)In high performance computing (HPC) applications, scientific or engineering problems are solved in a highly parallel and often necessarily distributed manner. The distribution of work leads to the distribution of data ... -
Numerical Simulation of Bloch Equations for Dynamic Magnetic Resonance Imaging
(2017-03-21)With recent advancements of image reconstruction techniques, magnetic resonance imaging (MRI) can produce real-time images at a temporal resolution of 10 to 40 ms to observe complex physiological processes and also serves ... -
A Grid-Adaptive Algebraic Hybrid RANS/LES Method
(2016-04-04)The present thesis considers the compressible Navier-Stokes equations to simulate the flow of air about basic and complex test cases. As numerical solution method the unstructured finite-volume solver DLR-TAU is used. The ... -
Stabilized Finite Element Methods for Coupled Incompressible Flow Problems
(2016-01-28)In this thesis, a finite element discretization of the incompressible Navier-Stokes equations for a non-isothermal and electrically conducting fluid in a possibly rotating frame of reference is considered. In particular, ... -
Stabilisierte Lagrange Finite-Elemente im Elektromagnetismus und in der inkompressiblen Magnetohydrodynamik
(2015-11-05)This thesis deals with the usage of nodal-based finite element methods in electromagnetism and incompressible magnetohydrodynamics. At first, we start to investigate the induction equation from Maxwell's equation. We give ... -
Finite Element Methods with Local Projection Stabilization for Thermally Coupled Incompressible Flow
(2015-09-15)This thesis considers conforming finite element discretizations for the time-dependent Oberbeck-Boussinesq model with a pressure-correction projection scheme of second order in time. Discrete inf-sup stability of the ansatz ... -
Analytic singularities near radial points
(2015-03-11)In this thesis, we applied tools of algebraic analysis and knowledge of symplectic geometry and contact geometry to give a normal form of certain class of microdifferential operators, and then studied analytic singularities of ... -
Modellierung turbulenter Strömungen mit Anwendungsfällen in der Bioklimatologie und Astrophysik
(2014-02-06)When on the photo above the west wind Zephyr and in his arms the morning breeze Aura is not floating Venus on the shores of Cyprus , but instead blows out the birthday cake , then his breathing is what is known in fluid ... -
Stable Bases for Kernel Based Methods
(2013-03-18)Kernels K arise in many contexts, including approximation, surface reconstruction, numerical analysis of fluid-structure interactions, and geostatistics. In particular, the span of translates K(.,x) for scattered ... -
CUDA-based Scientific Computing
(2013-02-12)The first goal of this thesis is the design of SciPAL (Scientific and Parallel Algorithms Library), a C++-based and operating-system-independent library. The core of SciPAL is a domain-specific embedded language for dense ... -
Membrane locking in discrete shell theories
(2012-05-23)This work is concerned with the study of thin structures in Computational Mechanics. This field is particularly interesting, since together with traditional finite elements methods (FEM), the last years have seen the ... -
Eine Finite-Elemente-Methode für nicht-isotherme inkompressible Strömungsprobleme
(2011-10-31)In this thesis, various aspects of the implementation of a solver for turbulent non-isothermal incompressible flow problems are considered. This includes in particular a spatial discretization ... -
A Massively Parallel Finite Element Framework with Application to Incompressible Flows
(2011-05-13)The incompressible Navier-Stokes equations describe the flow of Newtonian fluids or gases. They are used in many numerical simulations of flow problems. These simulations have become an ...