144 citations · 322 across the 20 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…
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…
Fast formation and assembly for spline-based 3D fictitious domain methods
Benjamin Marussig
Standard finite element methods employ an element-wise assembly strategy. The element's contribution to the system matrix is formed by a loop over quadrature points. This concept i…
Fast formation and assembly of isogeometric Galerkin matrices for trimmed patches
Benjamin Marussig
This work explores the application of the fast assembly and formation strategy from [8, 17] to trimmed bi-variate parameter spaces. Two concepts for the treatment of basis function…
A Consistent Higher-Order Isogeometric Shell Formulation
Daniel Schöllhammer, Benjamin Marussig, Thomas-Peter Fries
Shell analysis is a well-established field, but achieving optimal higher-order convergence rates for such simulations is a difficult challenge. We present an isogeometric Kirchhoff…