Institut für Numerische Simulation (INS): Browsing Institut für Numerische Simulation (INS) by Title
Now showing items 124-143 of 153
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Sampling inequalities for anisotropic tensor product grids
Rieger, Christian; Wendland, Holger (2018-04)We derive sampling inequalities for discrete point sets which are of anisotropic tensor product form. Such sampling inequalities can be used to prove convergence for arbitrary stable reconstruction processes. As usual in ... -
Sampling inequalities for sparse grids
Rieger, Christian; Wendland, Holger (2015)Sampling inequalities play an important role in deriving error estimates for various reconstruction processes. They provide quantitative estimates on a Sobolev norm of a function, defined on a bounded domain, in terms of ... -
Schwarz iterative methods: Infinite space splittings
Griebel, Michael; Oswald, Peter (2014-12)We prove the convergence of greedy and randomized versions of Schwarz iterative methods for solving linear elliptic variational problems based on infinite space splittings of a Hilbert space. For the greedy case, we show ... -
Schwarz type solvers for hp-FEM discretizations of mixed problems
Beuchler, Sven; Purrucker, Martin (2011-07)The Stokes problem and linear elasticity problems can be viewed as a mixed variational formulation. These formulations are discretized by means of the <em>hp</em>-version of the finite element method. The system of linear ... -
Second order optimality conditions for optimal control of quasilinear parabolic equations
Bonifacius, Lucas; Neitzel, Ira (2017-03)We discuss an optimal control problem governed by a quasilinear parabolic PDE including mixed boundary conditions and Neumann boundary control, as well as distributed control. Second order necessary and sufficient optimality ... -
Simrank-based prediction of crash simulation similarities
Pakiman, Anahita; Garcke, Jochen; Schumacher, Axel (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 ... -
Simulation of dilute polymeric fluids in a three-dimensional contraction using a multiscale FENE model
Griebel, Michael; Rüttgers, Alexander (2013-04)We apply the multiscale FENE model to a 3D square-square contraction flow problem. For this purpose, wecouple the stochastic Brownian configuration field method (BCF) with our fully parallelized three-dimensional Navier-Stokes ... -
Simulation of droplet impact with dynamic contact angle boundary conditions
Griebel, Michael; Klitz, Margrit (2013-01)The numerical simulation of dynamic wetting processes is of interest for a vast variety of industrial processes, where practical experiments are costly and time-consuming. In these simulations, the dynamic contact angle ... -
Simulation of micron-scale drop impact
Klitz, Margrit; Griebel, Michael (2018-10)The numerical simulation of droplet impact is of interest for a vast variety of industrial processes, where practical experiments are costly and time-consuming. In these simulations, the dynamic contact angle is a key ... -
Simulation of the oil storage process in the scopa of specialized bees
Rüttgers, Alexander; Griebel, Michael; Pastrik, Lars; Schmied, Heiko; Wittmann, Dietmar; Scherrieble, Andreas; Dinkelmann, Albrecht; Stegmaier, Thomas (2014-06)Several species of specialized bees possess special structures to store and transport floral oils. By using closely spaced hairs at their back legs, the so called scopa, these bees can absorb and release oil droplets without ... -
Simulation of wave propagation and impact damage in brittle materials using peridynamics
Diehl, Patrick; Schweitzer, Marc Alexander (2016-12)In this paper we present the results of simulating wave propagation and impact damage in brittle materials, like ceramics, using peridynamics, a non-local generalization of continuum mechanics. Two different bond-based ... -
Singular value decomposition versus sparse grids: Refined complexity estimates
Griebel, Michael; Harbrecht, Helmut (2017)We compare the cost complexities of two approximation schemes for functions which live on the product domain <em>Ω<sub>1</sub></em> × <em>Ω<sub>2</sub></em> of sufficiently smooth domains <em>Ω<sub>1</sub></em> ⊂ ... -
Solving incompressible two-phase flows on multi-GPU clusters
Zaspel, Peter; Griebel, Michael (2011-10)We present a fully multi-GPU-based double-precision solver for the three-dimensional two-phase incompressible Navier-Stokes equations. It is able to simulate the interaction of two fluids like air and water based on a ... -
Sparse grids for the Schrödinger equation
Griebel, Michael; Hamaekers, Jan (2005-12)We present a sparse grid/hyperbolic cross discretization for many-particle problems. It involves the tensor product of a one-particle multilevel basis. Subsequent truncation of the associated series expansion then results ... -
Sparse optimal control of a quasilinear elliptic PDE in measure spaces
Hoppe, Fabian (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 ... -
Sparse tensor product approximation for a class of generalized method of moments estimators
Gilch, Alexandros; Griebel, Michael; Oettershagen, Jens (2020-12)Generalized Method of Moments (GMM) estimators in their various forms, including the popular Maximum Likelihood (ML) estimator, are frequently applied for the evaluation of complex econometric models with not analytically ... -
Stable multiscale Petrov-Galerkin finite element method for high frequency acoustic scattering
Gallistl, Dietmar; Peterseim, Daniel (2015-03)We present and analyze a pollution-free Petrov-Galerkin multiscale finite element method for the Helmholtz problem with large wave number <em>κ</em> as a variant of [Peterseim, ArXiv:1411.1944, 2014]. We use standard ... -
Stable splitting of polyharmonic operators by generalized Stokes systems
Gallistl, Dietmar (2015-12)A stable splitting of 2<em>m</em>-th order elliptic partial differential equations into 2(<em>m</em>−1) problems of Poisson type and one generalized Stokes problem is established for any space dimension <em>d</em> ≥ 2 and ... -
Stable splittings of Hilbert spaces of functions of infinitely many variables
Griebel, Michael; Oswald, Peter (2016)We present an approach to defining Hilbert spaces of functions depending on infinitely many variables or parameters, with emphasis on a weighted tensor product construction based on stable space splittings. The construction ... -
Stochastic subspace correction in Hilbert space
Griebel, Michael; Oswald, Peter (2017-11)We consider an incremental approximation method for solving variational problems in infinite-dimensional separable Hilbert spaces, where in each step a randomly and independently selected subproblem from an infinite ...