6 papers
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…
A Higher-Order Time Domain Boundary Element Formulation based on Isogeometric Analysis and the Convolution Quadrature Method
Thomas Kramer, Benjamin Marussig, Martin Schanz
An isogeometric boundary element method (BEM) is presented to solve scattering problems in an isotropic homogeneous medium. We consider wave problems governed by the scalar wave eq…
Multi-level Bézier extraction of truncated hierarchical B-splines for isogeometric analysis
Andreas Grendas, Benjamin Marussig
Multivariate B-splines and Non-uniform rational B-splines (NURBS) lack adaptivity due to their tensor product structure. Truncated hierarchical B-splines (THB-splines) provide a so…
Isogeometric Analysis for 2D Magnetostatic Computations with Multi-level Bézier Extraction for Local Refinement
Andreas Grendas, Michael Wiesheu, Sebastian Schöps +1
Local refinement is vital for efficient numerical simulations. In the context of Isogeometric Analysis (IGA), hierarchical B-splines have gained prominence. The work applies the me…
Comparison of Integration Methods for Cut Elements
Guilherme Henrique Teixeira, Michael Loibl, Benjamin Marussig
Using an interface inserted in a background mesh is an alternative way of constructing a complex geometrical shape with a relative low meshing efforts. However, this process may re…
Reducing Meshing Requirements for Electrostatic Problems using a Galerkin Boundary Element Method
Benjamin Marussig, Thomas Rüberg, Jürgen Zechner +2
This work focuses on model preparation for electrostatic simulations of CAD designs to realize a rapid virtual prototyping concept. We present a boundary element method (BEM) allow…