INS Preprints: Auflistung INS Preprints nach Titel
Anzeige der Dokumente 1-20 von 153
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3D Analysis-suitable T-splines: definition, linear independence and m-graded local refinement
(2016-01)This paper addresses the linear independence of T-splines in three space dimensions. We give an abstract definition of analysis-suitability, and prove that it is equivalent to dual-compatibility, wich guarantees linear ... -
3D incompressible two-phase flow benchmark computations for rising droplets
(2014-03)We perform 3D incompressible two-phase flow simulations of rising droplets. Based on a similar 2D benchmark, a 3D benchmark configuration with two test cases is formulated in which we compare the flow solvers DROPS, NaSt3DGPF ... -
A bond order dissection ANOVA approach for efficient electronic structure calculations
(2014-03)In this article, we present a new decomposition approach for the efficient approximate calculation of the electronic structure problem for molecules. It is based on a dimension-wise decomposition of the space the underlying ... -
A full three dimensional numerical simulation of the sediment transport and the scouring at a rectangular obstacle
(2015-09)We employ a numerical simulation of the three-dimensional fluid flow and the simultaneous transport of sediment to reproduce current-driven sediment transport processes. In particular, the scouring at a rectangular obstacle ... -
A generalized multiscale finite element method for poroelasticity problems I: linear problems
(2015-04)In this paper, we consider the numerical solution of poroelasticity problems that are of Biot type and develop a general algorithm for solving coupled systems. We discuss the challenges associated with mechanics and flow ... -
A gradient sampling method on algebraic varieties and application to nonsmooth low-rank optimization
(2016-10)In this paper, a nonsmooth optimization method for locally Lipschitz functions on real algebraic varieties is developed. To this end, the set-valued map <em>ε</em>-conditional subdifferential <em>x</em> → ... -
A molecular dynamics study of cementitious calcium silicate hydrate (C-S-H) gels
(2007-05)In this article we study the polymerization of silicic acids (Si(OH)<sub>4</sub>) in the presence of calcium ions by molecular dynamics simulations. We focus on the formation and structure of cementitious calcium silicate ... -
A molecular dynamics study of the aluminosilicate chains structure in Al-rich calcium silicate hydrated (C-S-H) gels
(2007-11)Calcium silicate hydrated (C-S-H) gel is the principal binding phase of the cement paste and responsible for its strength. It is basically composed of silicate chains held together with CaO layers, where different guest ... -
A molecular dynamics study on fullerene–implanted carbon nanotori as electronmagnetic sensing and emitting devices
(2009-10)Open-ended carbon nanotubes have been found to form toroidal structures [17]. These specific structures bear striking resemblance to electrographic coils. Two modes of action can be thought of: Either the metallic conductivity ... -
A molecular dynamics study on the impact of defects and functionalization on the Young modulus of boron-nitride nanotubes
(2007)In this article, we examine the Young modulus of (6, <em>m</em>) boron-nitride nanotubes with vacancy and functionalization defects. We employ molecular dynamics simulations using the Parrinello-Rahman approach. To this ... -
A multilevel approach to the evolutionary generation of polycrystalline structures
(2015-11)The Poisson-Voronoi tesselation is commonly used as an approximation to the microstructure of polycrystalline material. Although simple, this approximation fails to respect basic physical properties observed empirically, ... -
A multiscale finite element method for Neumann problems in porous microstructures
(2015-01)In this paper we develop and analyze a Multiscale Finite Element Method (MsFEM) for problems in porous microstructures. By solving local problems throughout the domain we are able to construct a multiscale basis that can ... -
A multiscale method for porous microstructures
(2014-11)In this paper we develop a multiscale method to solve problems in complicated porous microstructures with Neumann boundary conditions. By using a coarse-grid quasi-interpolation operator to define a fine detail space and ... -
A new discretization for mth-Laplace equations with arbitrary polynomial degrees
(2016-07)This paper introduces new mixed formulations and discretizations for <em>m</em>th-Laplace equations of the form (−1)<em><sup>m</sup></em>∆<em><sup>m</sup>u</em> = f for arbitrary <em>m</em> = 1, 2, 3, . . . based on novel ... -
A new generalization of the P1 non-conforming FEM to higher polynomial degrees
(2015)This paper generalizes the non-conforming FEM of Crouzeix and Raviart and its fundamental projection property by a novel mixed formulation for the Poisson problem based on the Helmholtz decomposition. The new formulation ... -
A note on source term representation for control-and-state-constrained parabolic control problems with purely time-dependent control
(2022-06)We revisit the concept of source term representation, originally developed for boundary control problems subject to pointwise state constraints in the domain, and apply it to linear-quadratic parabolic control problems ... -
A note on the construction of L-fold sparse tensor product spaces
(2012-04)In the present paper, we consider the construction of general sparse tensor product spaces in arbitrary space dimensions when the single subdomains are of different dimensionality and the associated ansatz spaces possess ... -
A sparse grid based generative topographic mapping for the dimensionality reduction of high-dimensional data
(2012-05)Most high-dimensional data exhibit some correlation such that data points are not distributed uniformly in the data space but lie approximately on a lower-dimensional manifold. A major problem in many data-mining applications ... -
A sparse grid based method for generative dimensionality reduction of high-dimensional data
(2015-11)Generative dimensionality reduction methods play an important role in machine learning applications because they construct an explicit mapping from a low-dimensional space to the high-dimensional data space. We discuss a ... -
A wavelet based sparse grid method for the electronic Schrödinger equation
(2006-05)We present a direct discretization of the electronic Schrödinger equation. It is based on one-dimensional Meyer wavelets from which we build an anisotropic multiresolution analysis for general particle spaces by a tensor ...
