138 citations · 201 across the 17 of their papers we have counts for
13 papers · 1 filter
Parameterization-driven arbitrary Lagrangian-Eulerian method for large-deformation isogeometric fluid-structure interaction
Jingya Li, Ye Ji, Hugo Verhelst +2
Body-fitted arbitrary Lagrangian-Eulerian (ALE) methods provide a sharp representation of the fluid-structure interface but rely on mesh-update strategies that incrementally deform…
IGA-LBM: Isogeometric lattice Boltzmann method
Ye Ji, Monica Lăcătuş, Matthias Möller
The lattice Boltzmann method (LBM) offers intrinsic parallelism and simple boundary treatment, but Cartesian lattices approximate curved boundaries by stair steps, causing spurious…
Boundary parameter matching for isogeometric analysis using Schwarz-Christoffel mapping
Ye Ji, Matthias Möller, Yingying Yu +1
Isogeometric analysis has brought a paradigm shift in integrating computational simulations with geometric designs across engineering disciplines. This technique necessitates analy…
A short report on preconditioned Anderson acceleration method
Kewang Chen, Ye Ji, Matthias Möller +1
In this report, we present a versatile and efficient preconditioned Anderson acceleration (PAA) method for fixed-point iterations. The proposed framework offers flexibility in bala…
An Adaptive Parallel Arc-Length Method
H. M. Verhelst, J. H. Den Besten, M. Möller
Parallel computing is omnipresent in today's scientific computer landscape, starting at multicore processors in desktop computers up to massively parallel clusters. While domain de…
A practical algorithm to minimize the overall error in FEM computations
Jie Liu, Henk M. Schuttelaars, Matthias Möller
Using the standard finite element method (FEM) to solve general partial differential equations, the round-off error is found to be proportional to , with the num…
Combining p-multigrid and multigrid reduced in time methods to obtain a scalable solver for Isogeometric Analysis
Roel Tielen, Matthias Möller, Cornelis Vuik
Isogeometric Analysis (IgA) has become a viable alternative to the Finite Element Method (FEM) and is typically combined with a time integration scheme within the method of lines f…
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…
High-Order Isogeometric Methods for Compressible Flows. II. Compressible Euler Equations
Matthias Möller, Andrzej Jaeschke
This work extends the high-resolution isogeometric analysis approach established for scalar transport equations to the equations of gas dynamics. The group finite element formulati…