144 citations · 322 across the 20 of their papers we have counts for
21 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…
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…
Teaching mechanics with individual exercise assignments and automated correction
Michael H. Gfrerer, Benjamin Marussig, Katharina Maitz +1
Solving exercise problems by yourself is a vital part of developing a mechanical understanding. Yet, most mechanics lectures have more than 200 participants, so the workload for ma…
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…
Surface Patches with Rounded Corners
Benjamin Marussig, Ulrich Reif
We analyze surface patches with a corner that is rounded in the sense that the partial derivatives at that point are antiparallel. Sufficient conditions for smoothness are gi…
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…
Immersed Boundary-Conformal Isogeometric Method for Linear Elliptic Problems
Xiaodong Wei, Benjamin Marussig, Pablo Antolin +1
We present a novel isogeometric method, namely the Immersed Boundary-Conformal Method (IBCM), that features a layer of discretization conformal to the boundary while employing a si…
Advances in the Treatment of Trimmed CAD Models due to Isogeometric Analysis
Benjamin Marussig
Trimming is a core technique in geometric modeling. Unfortunately, the resulting objects do not take the requirements of numerical simulations into account and yield various proble…
Stable Isogeometric Analysis of Trimmed Geometries
Benjamin Marussig, Jürgen Zechner, Gernot Beer +1
We explore extended B-splines as a stable basis for isogeometric analysis with trimmed parameter spaces. The stabilization is accomplished by an appropriate substitution of B-splin…
Isogeometric Boundary Element Analysis with elasto-plastic inclusions. Part 1: Plane problems
Gernot Beer, Benjamin Marussig, Jürgen Zechner +2
In this work a novel approach is presented for the isogeometric Boundary Element analysis of domains that contain inclusions with different elastic properties than the ones used fo…
The Isogeometric Nyström Method
Jürgen Zechner, Benjamin Marussig, Gernot Beer +1
In this paper the isogeometric Nyström method is presented. It's outstanding features are: it allows the analysis of domains described by many different geometrical mapping methods…
A simple approach to the numerical simulation with trimmed CAD surfaces
Gernot Beer, Benjamin Marussig, Jürgen Zechner
In this work a novel method for the analysis with trimmed CAD surfaces is presented. The method involves an additional mapping step and the attraction stems from its sim- plicity a…
Boundary Element Analysis with trimmed NURBS and a generalized IGA approach
Gernot Beer, Benjamin Marussig, Jürgen Zechner +2
A novel approach to the simulation with the boundary element method using trimmed NURBS patches is presented. The advantage of this approach is its efficiency and easy implementati…
Isogeometric Boundary Element Method with Hierarchical Matrices
Jürgen Zechner, Benjamin Marussig, Gernot Beer +1
In this work we address the complexity problem of the isogeometric Boundary Element Method by proposing a collocation scheme for practical problems in linear elasticity and the app…
Fast Isogeometric Boundary Element Method based on Independent Field Approximation
Benjamin Marussig, Jürgen Zechner, Gernot Beer +1
An isogeometric boundary element method for problems in elasticity is presented, which is based on an independent approximation for the geometry, traction and displacement field. T…