
Error Estimates for Neural Network Solutions of Partial Differential Equations
We develop an error estimator for neural network approximations of PDEs....
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On temporal homogenization in the numerical simulation of atherosclerotic plaque growth
A temporal homogenization approach for the numerical simulation of ather...
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Deep neural networks for geometric multigrid methods
We investigate scaling and efficiency of the deep neural network multigr...
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Using a deep neural network to predict the motion of underresolved triangular rigid bodies in an incompressible flow
We consider nonspherical rigid body particles in an incompressible flui...
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Structure Preservation for the Deep Neural Network Multigrid Solver
The simulation of partial differential equations is a central subject of...
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Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data
We evaluate a number of different finite element approaches for fluidst...
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A neural network multigrid solver for the NavierStokes equations
We present a deep neural network multigrid solver (DNNMG) that we devel...
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A Lowrank Method for Parameterdependent Fluidstructure Interaction Discretizations With Hyperelasticity
In aerospace engineering and boat building, fluidstructure interaction ...
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A locally modified secondorder finite element method for interface problems
The locally modified finite element method, which is introduced in [Frei...
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Adaptive timestep control for a monolithic multirate scheme coupling the heat and wave equation
We consider the dynamics of a parabolic and a hyperbolic equation couple...
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Error estimation and adaptivity for differential equations with multiple scales in time
We consider systems of ordinary differential equations with multiple sca...
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The candy wrapper problem – a temporal multiscale approach for pde/pde systems
We describe a temporal multiscale approach for the simulation of longte...
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A goal oriented error estimator and mesh adaptivity for sea ice simulations
For the first time we introduce an error estimator for the numerical app...
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An unfitted Eulerian finite element method for the timedependent Stokes problem on moving domains
We analyse a Eulerian Finite Element method, combining a Eulerian times...
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A Lowrank Approach for Nonlinear Parameterdependent Fluidstructure Interaction Problems
Parameterdependent discretizations of linear fluidstructure interactio...
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Second order pressure estimates for the CrankNicolson discretization of the incompressible NavierStokes Equations
We provide optimal order pressure error estimates for the CrankNicolson...
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Numerical benchmarking of fluidrigid body interactions
We propose a fluidrigid body interaction benchmark problem, consisting ...
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Industrial DevOps
The visions and ideas of Industry 4.0 require a profound interconnection...
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Parallel timestepping for fluidstructure interactions
We present a parallel timestepping method for fluidstructure interacti...
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High Dynamic Range Imaging Technology
In this lecture note, we describe high dynamic range (HDR) imaging syste...
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Thomas Richter
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