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13 papers · 2 filters
Goal-oriented adaptive finite element method for semilinear elliptic PDEs
Roland Becker, Maximilian Brunner, Michael Innerberger +2
We formulate and analyze a goal-oriented adaptive finite element method (GOAFEM) for a semilinear elliptic PDE and a linear goal functional. The strategy involves the finite elemen…
-inverses for RBF interpolation
Niklas Angleitner, Markus Faustmann, Jens Markus Melenk
We consider the interpolation problem for a class of radial basis functions (RBFs) that includes the classical polyharmonic splines (PHS). We show that the inverse of the system ma…
Random-batch method for multi-species stochastic interacting particle systems
Esther S. Daus, Markus Fellner, Ansgar Jüngel
A random-batch method for multi-species interacting particle systems is proposed, extending the method of S. Jin, L. Li, and J.-G. Liu [J. Comput. Phys. 400 (2020), 108877]. The id…
Numerical Design of Distributive Mixing Elements
Sebastian Hube, Marek Behr, Stefanie Elgeti +3
This paper presents a novel shape-optimization technique for the design of mixing elements in single-screw extruders. Extruders enable the continuous production of constant-cross-s…
Adjoint based methods to compute higher order topological derivatives with an application to elasticity
Phillip Baumann, Kevin Sturm
The goal of this paper is to give a comprehensive and short review on how to compute the first and second order topological derivative and potentially higher order topological deri…
Numerical shape optimization of the Canham-Helfrich-Evans bending energy
Michael Neunteufel, Joachim Schöberl, Kevin Sturm
In this paper we propose a novel numerical scheme for the Canham-Helfrich-Evans bending energy based on a three-field lifting procedure of the distributional shape operator to an a…