180 citations
- Austrian Academy of SciencesAT307 papers
- Johannes Kepler University of LinzAT101 papers
- University of ViennaAT71 papers
- Universität InnsbruckAT18 papers
- University of GrazAT18 papers
- Centre National de la Recherche ScientifiqueFR14 papers
- Graz University of TechnologyAT11 papers
- University of WarwickGB11 papers
- Czech Technical University in PragueCZ10 papers
- Kent State UniversityUS10 papers
- Technische Universität DarmstadtDE9 papers
- Leibniz University HannoverDE8 papers
134 papers · 1 filter
Isogeometric Topology Optimization Based on Topological Derivatives
Guilherme Henrique Teixeira, Nepomuk Krenn, Peter Gangl +1
Topology optimization is a valuable tool in engineering, facilitating the design of optimized structures. However, topological changes often require a remeshing step, which can bec…
Analysis and structure-preserving approximation of a Cahn-Hilliard-Forchheimer system with solution-dependent mass and volume source
Aaron Brunk, Marvin Fritz
We analyze a coupled Cahn-Hilliard-Forchheimer system featuring concentration-dependent mobility, mass source and convective transport. The velocity field is governed by a generali…
A Meshfree RBF-FD Constant along Normal Method for Solving PDEs on Surfaces
Víctor Bayona, Argyrios Petras, Cécile Piret +1
This paper introduces a novel meshfree methodology based on Radial Basis Function-Finite Difference (RBF-FD) approximations for the numerical solution of partial differential equat…
Analysis and discretization of the Ohta-Kawasaki equation with forcing and degenerate mobility
Aaron Brunk, Marvin Fritz
The Ohta-Kawasaki equation models the mesoscopic phase separation of immiscible polymer chains that form diblock copolymers, with applications in directed self-assembly for lithogr…
Vertex characterization via second-order topological derivatives
Peter Gangl, Bochra Mejri, Otmar Scherzer
This paper focuses on identifying vertex characteristics in 2D images using topological asymptotic analysis. Vertex characteristics include both the location and the type of the ve…
Homotopy methods for higher order shape optimization: A globalized shape-Newton method and Pareto-front tracing
A. Cesarano, B. Endtmayer, P. Gangl
First order shape optimization methods, in general, require a large number of iterations until they reach a locally optimal design. While higher order methods can significantly red…