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09/06/2023
Introducing Thermodynamics-Informed Symbolic Regression – A Tool for Thermodynamic Equations of State Development
Thermodynamic equations of state (EOS) are essential for many industries...
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06/28/2023
Time Regularization in Optimal Time Variable Learning
Recently, optimal time variable learning in deep neural networks (DNNs) ...
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06/22/2023
Uncertainty Propagation of Initial Conditions in Thermal Models
The operation of machine tools often demands a highly accurate knowledge...
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06/24/2022
Total Generalized Variation for Piecewise Constant Functions with Applications in Imaging
We propose a novel discrete concept for the total generalized variation ...
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04/07/2022
Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors
The Cahn–Hilliard equations are a versatile model for describing the evo...
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12/02/2021
Optimal Control of the Kirchhoff Equation
We consider an optimal control problem for the steady-state Kirchhoff eq...
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12/21/2020
Mesh Denoising and Inpainting using the Total Variation of the Normal
In this paper we present a novel approach to solve surface mesh denoisin...
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12/10/2020
A Manifold of Planar Triangular Meshes with Complete Riemannian Metric
Shape spaces are fundamental in a variety of applications including imag...
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11/18/2020
Continuous Galerkin Schemes for Semi-Explicit Differential-Algebraic Equations
This paper studies a new class of integration schemes for the numerical ...
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11/06/2020
Optimal Control of Hughes' Model for Pedestrian Flow via Local Attraction
We discuss the control of a human crowd whose dynamics is governed by a ...
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10/12/2020
An Extension of the Strain Transfer Principle for Fiber Reinforced Materials
Fiber optical strain sensors are used to measure the strain at a particu...
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04/17/2020
First-Order Methods for Optimal Experimental Design Problems with Bound Constraints
We consider a class of convex optimization problems over the simplex of ...
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03/20/2020
Dimensionally Consistent Preconditioning for Saddle-Point Problems
The preconditioned iterative solution of large-scale saddle-point system...
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09/27/2019
Error estimation for second-order PDEs in non-variational form
Second-order partial differential equations in non-divergence form are c...
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08/20/2019
Discrete Total Variation of the Normal Vector Field as Shape Prior with Applications in Geometric Inverse Problems
An analogue of the total variation prior for the normal vector field alo...
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08/06/2019