32 citations · 82 across the 17 of their papers we have counts for
7 papers · 1 filter
Matrix-free polynomial preconditioning of saddle point systems using the hyper-power method
Michał Łukasz Mika, Marco ten Eikelder, Dominik Schillinger +1
This study explores the integration of the hyper-power sequence, a method commonly employed for approximating the Moore-Penrose inverse, to enhance the effectiveness of an existing…
Higher order accurate mass lumping for explicit isogeometric methods based on approximate dual basis functions
Rene Hiemstra, Thi-Hoa Nguyen, Sascha Eisentrager +2
This paper introduces a mathematical framework for explicit structural dynamics, employing approximate dual functionals and rowsum mass lumping. We demonstrate that the approach ma…
Nonlinear dynamic analysis of shear- and torsion-free rods using isogeometric discretization and outlier removal
Thi-Hoa Nguyen, Bruno A. Roccia, René R. Hiemstra +2
In this paper, we present a discrete formulation of nonlinear shear- and torsion-free rods introduced by Gebhardt and Romero in [20] that uses isogeometric discretization and robus…
Fast immersed boundary method based on weighted quadrature
Benjamin Marussig, René Hiemstra, Dominik Schillinger
Combining sum factorization, weighted quadrature, and row-based assembly enables efficient higher-order computations for tensor product splines. We aim to transfer these concepts t…
Fourier analysis of membrane locking and unlocking
Rene R. Hiemstra, Federico Fuentes, Dominik Schillinger
Membrane locking in finite element approximations of thin beams and shells has remained an unresolved topic despite four decades of research. In this article, we utilize Fourier an…
Towards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics
Thi-Hoa Nguyen, René R. Hiemstra, Sascha Eisenträger +1
We present a mass lumping approach based on an isogeometric Petrov-Galerkin method that preserves higher-order spatial accuracy in explicit dynamics calculations irrespective of th…