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20132026
most citedAutoMat -- Automatic Differentiation for Generalized Standard Materials on GPUs

13 citations · 54 across the 32 of their papers we have counts for

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Showing 2018Show all

8 papers · 1 filter

math.OC2018★ 10 cited

Layer-Parallel Training of Deep Residual Neural Networks

S. Günther, L. Ruthotto, J. B. Schroder +2

Residual neural networks (ResNets) are a promising class of deep neural networks that have shown excellent performance for a number of learning tasks, e.g., image classification an…

math.OC2018

Global Aerodynamic Design Optimization via Primal-Dual Aggregation Method

Emre Özkaya, Nicolas R. Gauger

Global aerodynamic design optimization using Euler or Navier-Stokes equations requires very reliable surrogate modeling techniques since the computational effort for the underlying…

physics.comp-ph2018

Accurate gradient computations for shape optimization via discrete adjoints in CFD-related multiphysics problems

Ole Burghardt, Nicolas R. Gauger

As more and more multiphysics effects are entering the field of CFD simulations, this raises the question how they can be accurately captured in gradient computations for shape opt…

math.NA2018

On high-order pressure-robust space discretisations, their advantages for incompressible high Reynolds number generalised Beltrami flows and beyond

Nicolas R. Gauger, Alexander Linke, Philipp W. Schroeder

An improved understanding of the divergence-free constraint for the incompressible Navier--Stokes equations leads to the observation that a semi-norm and corresponding equivalence…

math.OC2018★ 1 cited

An Approximate Newton Smoothing Method for Shape Optimization

Jonas Kusch, Stephan Schmidt, Nicolas R. Gauger

A novel methodology to efficiently approximate the Hessian for numerical shape optimization is considered. The method enhances operator symbol approximations by including body fitt…

math.OC2018

On the Stability of Gradient Based Turbulent Flow Control without Regularization

Emre Özkaya, Nicolas R. Gauger, Daniel Marinc +1

In this paper, we discuss selected adjoint approaches for the turbulent flow control. In particular, we focus on the application of adjoint solvers for the scope of noise reduction…