1 citations · 1 across the 3 of their papers we have counts for
6 papers
Towards Accuracy and Scalability: Combining Isogeometric Analysis with Deflation to Obtain Scalable Convergence for the Helmholtz Equation
Vandana Dwarka, Roel Tielen, Matthias Möller +1
Finding fast yet accurate numerical solutions to the Helmholtz equation remains a challenging task. The pollution error (i.e. the discrepancy between the numerical and analytical w…
The Role of PDE-Based Parameterization Techniques in Gradient-Based IGA Shape Optimization Applications
Jochen Hinz, Andrzej Jaeschke, Matthias Möller +1
This paper proposes a shape optimization algorithm based on the principles of Isogeometric Analysis (IGA) in which the parameterization of the geometry enters the problem formulati…
Balancing truncation and round-off errors in practical FEM: one-dimensional analysis
Jie Liu, Matthias Möller, Henk M. Schuttelaars
In finite element methods (FEMs), the accuracy of the solution cannot increase indefinitely because the round-off error increases when the number of degrees of freedom (DoFs) is la…
Isogeometric Analysis of the Gray-Scott Reaction-Diffusion Equations for Pattern Formation on Evolving Surfaces and Applications to Human Gyrification
Jochen Hinz, Joost van Zwieten, Matthias Möller +1
We propose a numerical scheme based on the principles of Isogeometric Analysis (IgA) for a geometrical pattern formation induced evolution of manifolds. The development is modelled…
Boundary-Conforming Finite Element Methods for Twin-Screw Extruders using Spline-Based Parameterization Techniques
Jochen Hinz, Jan Helmig, Matthias Möller +1
This paper presents a novel spline-based meshing technique that allows for usage of boundary-conforming meshes for unsteady flow and temperature simulations in co-rotating twin-scr…
FDBB: Fluid Dynamics Building Blocks
Matthias Möller, Andrzej Jaeschke
High-performance computing platforms are becoming more and more heterogeneous, which makes it very difficult for researchers and scientific software developers to keep up with the…