Current Projects

ECMath_KURZLOGO_mU_RGB_kleiner

Reliable joint simulations for orthopaedic decision making in hip surgery

Jun 01, 2017 — Dec 31, 2018

This project aims at estimating the unknown parameters of a physics-based joint model together with a systematic sensitivity analysis, to ensure the reliability of a computer-assisted surgery planning tool developed in previous Matheon projects A17/CH1. The estimation shall be carried out using a Bayesian approach in combination with reduced basis methods to achieve feasible computing times. This calibration of the model will be accompanied by a clinical validation based on real patient data, ...

dfg_logo_blau_150

Geometric properties in Orlicz spaces, direct sums and Banach spaces of vector-valued functions

Feb 01, 2017 — Jan 31, 2018

The aim of this project is to study various types of rotundity and smoothness properties in infinite direct sums of Banach spaces, Köthe-Bochner spaces of vector-valued functions (which include Lebesgue-Bochner and Orlicz-Bochner spaces as special cases), and more generally in so called direct integrals of Banach spaces. The latter class is a natural generalisation of both direct sums and Köthe-Bochner spaces.

dfg_logo_blau_150

Advanced techniques for entropy-based moment methods for linear kinetic equations

Dec 06, 2016 — Dec 05, 2018

Linear kinetic equations model many physical phenomena, e.g. radiative transport, but remain challenging to simulate. The entropy- based moment method is a discretization which has attractive theoretical properties but so far no practical implementation. We will investigate several new techniques to achieve such an implementation including high-order methods, semi-implicit time integration, and partitioning of the angular domain. External cooperations: Prof. Dr. Cory D. Hauck (Oak Ridge ...

Gefördert vom BMBF_2

Raum-zeit-parallele adaptive Simulation von Phasenfeldmodellen auf Höchstleistungsrechnern

May 01, 2016 — Apr 30, 2019

Förderprogramm: IKT 2020 – Forschung für Innovationen "Anwendungsorientierte HPC-Software für das Hoch-  und Höchstleistungsrechnen in Wissenschaft und Wirtschaft" Talks: 02/09/2016: C. Gräser, Nonlinearly preconditioned inexact Newton methods for nonsmooth optimization, International Conference on Domain Decomposition Methods XXIV, Svalbard, Norway 05/31/2016: C. Gräser: Nonlinearly preconditioned inexact Newton methods for nonsmooth optimization, Seminar des Instituts für Numerische ...

SFB_logo

Particles in lipid bilayers

Oct 01, 2014 — Sep 30, 2018

The interplay of proteins and curvature of lipid bilayers is well-known to regulate cell morphology and a variety of cellular functions, such as trafficking or signal detection. Here, interplay not only means that proteins can induce curvature by shaping and re­modeling the membrane, but also that the membrane curvature plays an active role in creating functional membrane domains and organizing membrane proteins, includ­ing their conformation dynamics. Moreover, microscopic causes, such as ...

SFB_logo

Multilevel coarse graining of multiscale problems

Oct 01, 2014 — Sep 30, 2018

Molecular dynamics and related computational methods enable the description of bio­logical systems with all-atom detail. However, these approaches are limited regarding simulation times and system sizes. A systematic way to bridge the micro-macro scale range between molecular dynamics and experiments is to apply coarse-graining (CG) techniques. The basic idea of (CG) is to replace the high-dimensional all-atom description of the system by a reduced representation that preserves a suf.cient ...

SFB_logo

Fault networks and scaling properties of deformation accumulation

Oct 01, 2014 — Sep 30, 2018

Earthquake statistics reveal scale invariance over 10 orders of magnitude of the earthquake strength as expressed, e.g., by the famous Gutenberg–Richter power law. Well- established explanations for earthquake activity in the lithosphere are based on strain accumulation and stress release along fault networks chiefly in plate boundary zones as described by rate and state dependent (RSD) friction models. However, because of the incompleteness of the real-world record of earthquakes and ...

Gefördert vom BMBF_2

Wear simulation and shape optimization of knee implants. Subproject 4: Uncertainty quantification

Jul 01, 2013 — Jul 31, 2017

One of very common surgeries daily performed in German clinics is the human knee joint replacement. For the market admittance of joint implants, standardized wear tests has to be performed. During the design phase, similar tests are necessary as well. Those tests are very cost and time expensive. The project aims at the development of simulation and optimization methods for substituting some of the design phase tests by numerical simulations. Additionally, the design process shall be ...

Helmholtz_logo

Understanding of microstructure evolution in copper indium selenide (CISe) and copper gallium indium selenide (CGSe)

Nov 01, 2012 — Dec 31, 2018

Photovoltaic devices, which operate by directly converting solar energy into electricity, have become rapidly one of the most important “clean” energy sources. The optimization of thin-film solar cells for such use has been mainly a trial-and-error process. A detailed understanding of the relationships between growth processes, structural defects, strain, and electrical properties would benefit the development of these devices considerably. In the Virtual Institute "Microstructure control ...

For completed projects please see here.