53 citations · 94 across the 11 of their papers we have counts for
12 papers
nlfem: A flexible 2d Fem Code for Nonlocal Convection-Diffusion and Mechanics
Manuel Klar, Christian Vollmann, Volker Schulz
In this work we present the mathematical foundation of an assembly code for finite element approximations of nonlocal models with compactly supported, weakly singular kernels. We d…
Tensor numerical method for optimal control problems constrained by an elliptic operator with general rank-structured coefficients
Boris N. Khoromskij, Britta Schmitt, Volker Schulz
We introduce tensor numerical techniques for solving optimal control problems constrained by elliptic operators in , , with variable coefficients, which can be…
Pre-Shape Calculus: Foundations and Application to Mesh Quality Optimization
Daniel Luft, Volker Schulz
Deformations of the computational mesh arising from optimization routines usually lead to decrease of mesh quality or even destruction of the mesh. We propose a theoretical framewo…
Tensor Method for Optimal Control Problems Constrained by Fractional 3D Elliptic Operator with Variable Coefficients
Britta Schmitt, Boris N. Khoromskij, Venera Khoromskaia +1
We introduce the tensor numerical method for solving optimal control problems that are constrained by fractional 2D and 3D elliptic operators with variable coefficients. We solve t…
A Hybrid Objective Function for Robustness of Artificial Neural Networks -- Estimation of Parameters in a Mechanical System
Jan Sokolowski, Volker Schulz, Udo Schröder +1
In several studies, hybrid neural networks have proven to be more robust against noisy input data compared to plain data driven neural networks. We consider the task of estimating…
Shape optimization for interface identification in nonlocal models
Volker Schulz, Matthias Schuster, Christian Vollmann
Shape optimization methods have been proven useful for identifying interfaces in models governed by partial differential equations. Here we consider a class of shape optimization p…