INS Preprints: Browsing INS Preprints by Title
Now showing items 1-20 of 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-posteriori error estimation of discrete POD models for PDE-constrained optimal control
(2016-03)In this work a-posteriori error estimates for linear-quadratic optimal control problems governed by parabolic equations are considered. Different error estimation techniques for finite element discretizations and model-order ... -
A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE
(2020-12)We prove a-posteriori error-estimates for reduced-order modeling of quasilinear parabolic PDEs with non-monotone nonlinearity. We consider the solution of a semi-discrete in space equation as reference, and therefore ... -
Adaptive mesh refinement strategies in isogeometric analysis: A computational comparison
(2016-05)We explain four variants of an adaptive finite element method with cubic splines and compare their performance in simple elliptic model problems. The methods in comparison are Truncated Hierarchical B-splines with two ... -
An adaptive multiscale approach for electronic structure methods
(2016)In this paper, we introduce a new scheme for the efficient numerical treatment of the electronic Schr¨odinger equation for molecules. It is based on the combination of a many-body expansion, which corresponds to the bond ... -
An adaptive sparse grid approach for time series predictions
(2012-01)A real valued, deterministic and stationary time series can be embedded in a — sometimes high-dimensional — real vector space. This leads to a one-to-one relationship between the embedded, time dependent vectors in ... -
An adaptive sparse grid semi-Lagrangian scheme for first order Hamilton-Jacobi Bellman equations
(2012-09)We propose a semi-Lagrangian scheme using a spatially adaptive sparse grid to deal with non-linear time-dependent Hamilton-Jacobi Bellman equations. We focus in particular on front propagation models in higher dimensions ... -
Additive Schwarz solvers for hp-FEM discretizations of PDE-constrained optimzation problems
(2016-10)In this paper, we investigate the minimization of a quadratic functional subject to a boundary value problem of a second order linear elliptic partial differential equation. There are no inequality constraints for state ... -
Alignment of Highly Resolved Time-Dependent Experimental and Simulated Crash Test Data
(2022-05)We investigate for car and component crash tests the comparison of highly resolved experimental data with corresponding simulation data. Due to re- cent advances for optical measurement systems, one can nowadays obtain ... -
Analysis of tensor approximation schemes for continuous functions
(2019-03)In this article, we analyze tensor approximation schemes for continuous functions. We assume that the function to be approximated lies in an isotropic Sobolev space and discuss the cost when approximating this function in ... -
Analysis-suitable adaptive T-mesh refinement with linear complexity
(2014-07)We present an efficient adaptive refinement procedure that preserves analysis-suitability of the T-mesh, this is, the linear independence of the T-spline blending functions. We prove analysis-suitability of the overlays ... -
The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth
(2014)The pricing problem for a continuous path-dependent option results in a path integral which can be recast into an infinite-dimensional integration problem. We study ANOVA decomposition of a function of infinitely many ... -
Approximation of two-variate functions: singular value decomposition versus sparse grids
(2011)We compare the cost complexities of two approximation schemes for functions <em>f</em> ∈ <em>H<sup>p</sup></em>(<em>Ω</em><sub>1</sub> × <em>Ω</em><sub>2</sub>) which live on the product domain <em>Ω</em><sub>1</sub> × ... -
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 ... -
BOSSANOVA: A bond order dissection approach for efficient electronic structure calculations
(2008-01)In this article, we present a new decomposition approach for the eff cient approximate calculation of the electronic structure problem for molecules. It is based on a dimension-wise decomposition of the space the underlying ... -
CLSVOF as a fast and mass-conserving extension of the level-set method for the simulation of two-phase flow problems
(2015-07)The modeling of two-phase flows in computational fluid dynamics is still an area of active research. One popular method is the coupling of level-set and volume-of-fluid (CLSVOF), which benefits from the advantages of both ... -
A collection of nonsmooth Riemannian optimization problems
(2017-09)Nonsmooth Riemannian optimization is a still scarcely explored subfield of optimization theory that concerns the general problem of minimizing (or maximizing), over a domain endowed with a manifold structure, a real-valued ... -
Complexity of hierarchical refinement for a class of admissible mesh configurations
(2015-09)An adaptive isogeometric method based on <em>d</em>-variate hierarchical spline constructions can be derived by considering a refine module that preserves a certain class of admissibility between two consecutive steps of ... -
Computation of local and quasi-local effective diffusion tensors in elliptic homogenization
(2016-08)This paper gives a re-interpretation of the multiscale method of Målqvist and Peterseim [Math. Comp. 2014] by means of a discrete integral operator acting on standard finite element spaces. The exponential decay of the ...
