10 research outputs found
Generalized averaged Gaussian quadrature and applications
A simple numerical method for constructing the optimal generalized averaged Gaussian quadrature formulas will be presented. These formulas exist in many cases in which real positive GaussKronrod formulas do not exist, and can be used as an adequate alternative in order to estimate the error of a Gaussian rule. We also investigate the conditions under which the optimal averaged Gaussian quadrature formulas and their truncated variants are internal
MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications
Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described
Internationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen : 20. bis 22.7. 2015, Bauhaus-Universität Weimar
The 20th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering will be held at the Bauhaus University Weimar from 20th till 22nd July 2015. Architects, computer scientists, mathematicians, and engineers from all over the world will meet in Weimar for an interdisciplinary exchange of experiences, to report on their results in research, development and practice and to discuss. The conference covers a broad range of research areas: numerical analysis, function theoretic methods, partial differential equations, continuum mechanics, engineering applications, coupled problems, computer sciences, and related topics. Several plenary lectures in aforementioned areas will take place during the conference.
We invite architects, engineers, designers, computer scientists, mathematicians, planners, project managers, and software developers from business, science and research to participate in the conference
Micro-mechanical testing of afvanced ceramics: tools, procedures and first results
Micro-mechanical testing has lately become a more accessible tool for understanding deformation, strengthening and
failure mechanisms at small scales. It has been found that the often considered intrinsic or “intensive” properties of
materials, i.e. not size dependent, start to exhibit an extrinsic behaviour if the volume of material tested is reduced down
to the level of the micro- or nano-scale. This is true at least for metals, where diverse experimental approaches have
shown that the ultimate strength strongly increases in enough small material volumes in the micro-nano range.
In ceramics, the small scale testing approach has received much less attention probably because of the absence of
dislocation-controlled deformation mechanisms. Even though, it is the only direct method for the study of the
mechanical behaviour of ceramics in thin coatings, superficial layers induced by surface degradation processes as in
wear, corrosion, etc. Besides, in ceramics with a grain size dependent transformation toughening mechanism, such as
zirconia-based ceramics, a clear effect is expected when testing at the micro-scale.
In this work the methodology of micro-mechanical testing is presented and is applied to yttria-stabilized zirconia.
Advantages and limitations of the technique are discussed and details about the combination of FIB-machining and
nanoindentation testing are illustrated. At the same time, first results of the strength in compression of zirconia micropillars
are presented and the failure mechanism is discussed.Postprint (published version
Physics-Based Probabilistic Motion Compensation of Elastically Deformable Objects
A predictive tracking approach and a novel method for visual motion compensation are introduced, which accurately reconstruct and compensate the deformation of the elastic object, even in the case of complete measurement information loss. The core of the methods involves a probabilistic physical model of the object, from which all other mathematical models are systematically derived. Due to flexible adaptation of the models, the balance between their complexity and their accuracy is achieved