INS Preprints: INS Preprints: Recent submissions
Now showing items 141-153 of 153
-
Sparse optimal control of a quasilinear elliptic PDE in measure spaces
(2022-03)We prove existence of optimal controls for sparse optimal control of a quasilinear elliptic equation in measure spaces and derive first-order necessary optimality conditions. Under additional assumptions also second-order ... -
Low-rank approximation of continuous functions in Sobolev spaces with dominating mixed smoothness
(2022-03)Let Ω<sub><em>i</em></sub> ⊂ R<em><sup>n<sub>i</sub></sup></em> , <em>i</em> = 1, . . . , <em>m</em>, be given domains. In this article, we study the low-rank approximation with respect to L<sup>2</sup>(Ω<sub>1</sub> × · ... -
In-situ Estimation of Time-averaging Uncertainties in Turbulent Flow Simulations
(2022)The statistics obtained from turbulent flow simulations are generally uncertain due to finite time averaging. The techniques available in the literature to accurately estimate these uncertainties typically only work in an ... -
A dimension-adaptive combination technique for uncertainty quantification
(2022-04)We present an adaptive algorithm for the computation of quantities of interest involving the solution of a stochastic elliptic PDE where the diffusion coefficient is parametrized by means of a Karhunen-Loève expansion. The ... -
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 ... -
Knowledge discovery assistants for crash simulations with graph algorithms and energy absorption features
(2022)We propose the representation of data from finite element car crash simulations in a graph database to empower analysis approaches. The industrial perspective of this work is to narrow the gap between the uptake of modern ... -
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 ... -
A mass-conserving sparse grid combination technique with biorthogonal hierarchical basis functions for kinetic simulations
(2022-09)The exact numerical simulation of plasma turbulence is one of the assets and challenges in fusion research. For grid-based solvers, sufficiently fine resolutions are often unattainable due to the curse of dimensionality. ... -
Simrank-based prediction of crash simulation similarities
(2022)Data searchability has been utilized for decades and is now a crucial ingredient of data reuse. However, data searchability in industrial engineering is essentially still at the level of individual text documents, while ... -
On the expected uniform error of Brownian motion approximated by the Lévy-Ciesielski construction
(2023-04)It is known that the Brownian bridge or Lévy-Ciesielski construction of Brownian paths almost surely converges uniformly to the true Brownian path. In the present article the focus is on the uniform error. In particular, ... -
Convergence analysis of online algorithms for vector-valued kernel regression
(2023-09)We consider the problem of approximating the regression function from noisy vectorvalued data by an online learning algorithm using an appropriate reproducing kernel Hilbert space (RKHS) as prior. In an online algorithm, ... -
Convergence of generalized cross-validation for an ill-posed integral equation
(2023-12)In this article we rigorously show consistency of generalized cross-validation applied to an exemplary ill-posed integral equation, given a finite number of noisy point evaluations. In particular, we present non-asymptotic ... -
Efficient solution of ill-posed integral equations through averaging
(2024-01)This paper discusses the error and cost aspects of ill-posed integral equations when given discrete noisy point evaluations on a fine grid. Standard solution methods usually employ discretization schemes that are directly ...
